摘要：
Purpose; Investigating the effects of unequal sub-arc personalized collimator angle selection on the quality of Volumetric Modulated Arc Therapy (VMAT) plans for treating multiple brain metastases. Methods: This study included 21 patients, each with 2-4 target volumes of multiple brain metastases. Two stereotactic radiotherapy (SRT) approaches were utilized: sub-arc collimator VMAT (SAC-VMAT) and fixed collimator VMAT (FC-VMAT). In the SAC-VMAT group, multi-leaf collimators (MLC) shaped the target area, dividing the full arc into four unequal sub-arcs under the beam's eye view (BEV). Each sub-arc had an appropriate collimator angle selected to mitigate 'island blocking problems'. Conversely, the FC-VMAT group used a fixed collimator angle of 15 degrees or 345 degrees. A comparative analysis of the dosimetric parameters of the target volumes and normal tissues, along with the monitor units (MU), was conducted between the two groups. Results: The mean dose and dose-volume to normal brain tissue (2-26 Gy, with a step of 2 Gy) were significantly lower in the SAC-VMAT group (P < 0.01). There was no statistical difference between the two groups in dose to the target volumes, conformity index (CI), homogeneity index (HI), and other normal tissues (P > 0.05). Compared with the FA-VMAT group, the SAC-VMAT group significantly reduced the gradient index (GI) (4.5 +/- 0.59 vs 5.2 +/- 0.75, P < 0.001) and MU (1774.33 +/- 181.77 vs 2001.0 +/- 344.86, P < 0.001). Notably, with an increase in the number of PTV, the SAC-VMAT group demonstrated more significant improvements in the dose-volume of normal brain tissue, GI, and MU. Conclusions: In this study, personalized selection of the unequal sub-arc collimator angle ensured the prescribed dose to the PTV, CI, and HI, while significantly reducing the GI, MU, and the dose to normal brain tissue in the VMAT plan for multi-target brain metastases in the cohort of cases with 2-4 target volumes. Particularly as the number of targets increase, the advantages of this method become more pronounced.
作者机构：
[Luo, Song; Li, Xiao-Hua; Chen, Xun; Qi, Lin-Jing; Zhang, Dong-Meng; Chen, X; Li, XH] Univ South China, Sch Nucl Sci & Technol, Hengyang 421001, Peoples R China.;[Chu, PC; Chu, Peng-Cheng] Qingdao Univ Sci & Technol, Sch Math & Phys, Qingdao 266033, Peoples R China.;[Li, Xiao-Hua; Li, XH] Univ South China, Natl Exemplary Base Int Sci, Tech Collaborat Energy & Nucl Safety, Hengyang 421001, Peoples R China.;[Li, Xiao-Hua; Li, XH] Univ South China, Cooperat Innovat Ctr Nucl Fuel Cycle Technol &, Hengyang, Peoples R China.;[Li, Xiao-Hua; Li, XH] Hunan Normal Univ, Key Lab Low Dimens Quantum Struct, Changsha 410081, Hunan, Peoples R China.
通讯机构：
[Chu, PC ] Q;[Chen, X; Li, XH ] U;Univ South China, Sch Nucl Sci & Technol, Hengyang 421001, Peoples R China.;Qingdao Univ Sci & Technol, Sch Math & Phys, Qingdao 266033, Peoples R China.;Univ South China, Natl Exemplary Base Int Sci, Tech Collaborat Energy & Nucl Safety, Hengyang 421001, Peoples R China.
关键词：
alpha decay;half-lives;preformation factors;heavy and superheavy nuclei
摘要：
<jats:title>Abstract</jats:title>
<jats:p> In this study, <jats:italic>α</jats:italic>-particle preformation factors in heavy and superheavy nuclei from <jats:sup>220</jats:sup>Th to <jats:sup>294</jats:sup>Og are investigated. By combing experimental <jats:italic>α</jats:italic> decay energies and half-lives, the <jats:italic>α</jats:italic>-particle preformation factors <jats:inline-formula>
<jats:tex-math><?CDATA $ P_{\alpha} $?></jats:tex-math>
<jats:inline-graphic xmlns:xlink="http://www.w3.org/1999/xlink" xlink:href="cpc_48_4_044105_M3.jpg" xlink:type="simple" />
</jats:inline-formula> are extracted from the ratios between theoretical <jats:italic>α</jats:italic> decay half-lives calculated using the Two-Potential Approach (TPA) and experimental data. We find that the <jats:italic>α</jats:italic>-particle preformation factors exhibit a noticeable odd-even staggering behavior, and unpaired nucleons inhibit <jats:italic>α</jats:italic>-particle preformation. Moreover, we find that both the <jats:italic>α</jats:italic> decay energy and mass number of parent nucleus exhibit considerable regularity with the extracted experimental <jats:italic>α</jats:italic>-particle preformation factors. After considering the major physical factors, we propose a local phenomenological formula with only five valid parameters for <jats:italic>α</jats:italic>-particle preformation factors <jats:inline-formula>
<jats:tex-math><?CDATA $ P_{\alpha} $?></jats:tex-math>
<jats:inline-graphic xmlns:xlink="http://www.w3.org/1999/xlink" xlink:href="cpc_48_4_044105_M4.jpg" xlink:type="simple" />
</jats:inline-formula>. This analytic expression has a clear physical meaning as well as good precision. As an application, this analytic formula is extended to estimate the <jats:italic>α</jats:italic>-particle preformation factors and further predict the <jats:italic>α</jats:italic> decay half-lives for unknown even-even nuclei with <jats:italic>Z</jats:italic> = 118 and 120.</jats:p>
作者机构：
[Li, Xiao-Hua; Guo, Xi; Chen, Xun; Xiang, Dong; Chen, X; Contreras, Miguel Angel Martin] Univ South China Hengyang, Sch Nucl Sci & Technol, China 28,West Changsheng Rd, Hengyang, Hunan, Peoples R China.
通讯机构：
[Chen, X ] U;Univ South China Hengyang, Sch Nucl Sci & Technol, China 28,West Changsheng Rd, Hengyang, Hunan, Peoples R China.
摘要：
Within the framework of the Einstein-Maxwell-dilaton model, which incorporates information on the equation of state and baryon number susceptibility from lattice results, we have conducted a comprehensive analysis of the potential energy, running coupling, and dissociation time for heavy-quark-antiquark pairs using gauge/gravity duality. This study encompasses various systems, including pure gluon systems, 2-flavor systems, 2 + 1-flavor systems, and 2 + 1 + 1-flavor systems under finite temperature and chemical potential. The results reveal that the linear component of the potential energy diminishes as the flavor increases. It is also found that our results are extremely close to the recent lattice results for 2+ + 1-flavors at finite temperature. Moreover, we have thoroughly investigated the dissociation distance and effective running coupling constant of quark-antiquark pairs to gain a comprehensive understanding of their behavior across various flavors. Finally, we have examined real-time dynamics of quark dissociation. The findings indicate that the dissociation time of quark-antiquark pairs is dependent on temperature, chemical potential, and flavor of the systems.
期刊：
International Journal of Modern Physics E,2024年33(08) ISSN：0218-3013
通讯作者：
Li, Ming;Chen, Xun;Li, XH;Wu, XJ
作者机构：
[Li, Ming; Li, Xiao-Hua; Jiang, Jie-Dong; Li, M; Chen, Xun; Liu, Xiao; Chen, X; Li, XH] Univ South China, Sch Nucl Sci & Technol, Hengyang 421001, Peoples R China.;[Wu, Xi-Jun; Wu, XJ] Univ South China, Sch Math & Phys, Hengyang 550001, Peoples R China.
通讯机构：
[Li, M; Chen, X; Li, XH ; Wu, XJ ] U;Univ South China, Sch Nucl Sci & Technol, Hengyang 421001, Peoples R China.;Univ South China, Sch Math & Phys, Hengyang 550001, Peoples R China.
关键词：
Cluster radioactivity;half-life;Geiger-Nuttall law
摘要：
An improved semi-empirical formula for cluster radioactivity half-lives is proposed by incorporating the influences of reduced mass, the blocking effect of unpaired nucleons and mass asymmetry on the basis of the original Tavares formula [Eur. Phys. J. A 49 (2013) 6]. Using this improved semi-empirical formula, the calculated results of the cluster radioactivity half-lives for the daughter nuclei around 208Pb or its neighbors can reproduce the experimental data well with a corresponding root-mean-square deviation sigma= 0.570, which proves the feasibility of this formula to calculate cluster radioactivity half-lives in trans-lead nuclei. The accuracy of the improved semi-empirical formula is improved by approximately 37% compared to its predecessor whose the root-mean-square deviation is 0.902. Meanwhile, the influence of deformation effect for cluster radioactivity is also briefly discussed. In addition, we extend this improved semi-empirical formula to predict the half-lives of 51 possible cluster radioactive candidates whose cluster radioactivity are energetically allowed or observed but not yet quantified in NUBASE2020. For comparison, some empirical and/or semi-empirical formulae are also used.
作者机构：
[Li, Xiao-Hua; Jiang, Jie-Dong; Liu, Xiao; Li, XH] Univ South China, Sch Nucl Sci & Technol, Hengyang 421001, Peoples R China.;[Wu, Xi-Jun; Wu, XJ] Univ South China, Sch Math & Phys, Hengyang 421001, Peoples R China.;[Li, Xiao-Hua; Li, XH] Univ South China, Natl Exemplary Base Int Sci & Tech Collaborat Nuc, Hengyang 421001, Peoples R China.;[Li, Xiao-Hua; Li, XH] Univ South China, Cooperat Innovat Ctr Nucl Fuel Cycle Technol & Eq, Hengyang 421001, Peoples R China.;[Li, Xiao-Hua; Li, XH] Hunan Normal Univ, Key Lab Low Dimens Quantum Struct & Quantum Contr, Changsha 410081, Peoples R China.
通讯机构：
[Li, XH ; Wu, XJ ] U;Univ South China, Sch Nucl Sci & Technol, Hengyang 421001, Peoples R China.;Univ South China, Sch Math & Phys, Hengyang 421001, Peoples R China.;Univ South China, Natl Exemplary Base Int Sci & Tech Collaborat Nuc, Hengyang 421001, Peoples R China.;Univ South China, Cooperat Innovat Ctr Nucl Fuel Cycle Technol & Eq, Hengyang 421001, Peoples R China.
关键词：
cluster radioactivity;half-lives;Coulomb and proximity potential model
摘要：
<jats:title>Abstract</jats:title>
<jats:p>In this study, based on the framework of the Coulomb and proximity potential model (CPPM), we systematically investigate the cluster radioactivity half-lives of 26 trans-lead nuclei by considering the cluster preformation probability, which possesses a simple mass dependence on the emitted cluster according to R. Blendowske and H. Walliser [Phys. Rev. Lett. 61, 1930 (1988)]. Moreover, we investigate 28 different versions of the proximity potential formalisms, which are the most complete known proximity potential formalisms proposed to describe proton radioactivity, two-proton radioactivity, <jats:italic>α</jats:italic> decay, heavy-ion radioactivity, quasi-elastic scattering, fusion reactions, and other applications. The calculated results show that the modified forms of proximity potential 1977, denoted as Prox.77-12, and proximity potential 1981, denoted as Prox.81, are the most appropriate proximity potential formalisms for the study of cluster radioactivity, as the root-mean-square deviation between experimental data and relevant theoretical results obtained is the least; both values are 0.681. For comparison, the universal decay law (UDL) proposed by Qi <jats:italic>et al.</jats:italic> [Phys. Rev. C 80, 044326 (2009)], unified formula of half-lives for <jats:italic>α</jats:italic> decay and cluster radioactivity proposed by Ni <jats:italic>et al.</jats:italic> [Phys. Rev. C 78, 044310 (2008)], and scaling law (SL) in cluster radioactivity proposed by Horoi <jats:italic>et al.</jats:italic> [J. Phys. G 30, 945 (2004)] are also used. In addition, utilizing CPPM with Prox.77-12, Prox.77-1, Prox.77-2, and Prox.81, we predict the half-lives of 51 potential cluster radioactive candidates whose cluster radioactivity is energetically allowed or observed but not yet quantified in NUBASE2020. The predicted results are in the same order of magnitude as those obtained using the compared semi-empirical and/or empirical formulae. At the same time, the competition between <jats:italic>α</jats:italic> decay and cluster radioactivity of these predicted nuclei is discussed. By comparing the half-lives, this study reveals that <jats:italic>α</jats:italic> decay predominates.</jats:p>
摘要：
To develop and assess an automated Sub-arc Collimator Angle Optimization (SACAO) algorithm and Cumulative Blocking Index Ratio (CBIR) metrics for single-isocenter coplanar volumetric modulated arc therapy (VMAT) to treat multiple brain metastases. This study included 31 patients with multiple brain metastases, each having 2 to 8 targets. Initially, for each control point, the MLC blocking index was calculated at different collimator angles, resulting in a two-dimensional heatmap. Optimal sub-arc segmentation and collimator angle optimization were achieved using an interval dynamic programming algorithm. Subsequently, VMAT plans were designed using two approaches: SACAO and the conventional Full-Arc Fixed Collimator Angle. CBIR was calculated as the ratio of the cumulative blocking index between the two plan approaches. Finally, dosimetric and planning parameters of both plans were compared. Normal brain tissue, brainstem, and eyes received better protection in the SACAO group (P < 0.05).Query Notable reductions in the SACAO group included 11.47% in gradient index (GI), 15.03% in monitor units (MU), 15.73% in mean control point Jaw area (A(Jaw,mean)), and 19.14% in mean control point Jaw-X width (W(Jaw-X,mean)), all statistically significant (P < 0.001). Furthermore, CBIR showed a strong negative correlation with the degree of plan improvement. The SACAO method enhanced protection of normal organs while improving transmission efficiency and optimization performance of VMAT. In particular, the CBIR metrics show promise in quantifying the differences specifically in the 'island blocking problem' between SACAO and conventional VMAT, and in guiding the enhanced application of the SACAO algorithm.
期刊：
EUROPEAN PHYSICAL JOURNAL C,2024年84(1):1-14 ISSN：1434-6044
通讯作者：
Xun Chen<&wdkj&>Dong Xiang<&wdkj&>Xiao-Hua Li
作者机构：
[Guo, Xi; Jiang, Jia-Jie; Liu, Xuan; Chen, Xun; Xiang, Dong; Li, Xiao-Hua] School of Nuclear Science and Technology, University of South China, Hengyang, China
通讯机构：
[Xun Chen; Dong Xiang; Xiao-Hua Li] S;School of Nuclear Science and Technology, University of South China, Hengyang, China<&wdkj&>School of Nuclear Science and Technology, University of South China, Hengyang, China<&wdkj&>School of Nuclear Science and Technology, University of South China, Hengyang, China
摘要：
<jats:title>Abstract</jats:title><jats:p>In this paper, we employ gauge/gravity duality to investigate the string breaking and melting of doubly-heavy tetraquark that includes two heavy quarks and two light antiquarks in a holographic model at finite temperature. Firstly, four different configurations of <jats:inline-formula><jats:alternatives><jats:tex-math>$${{\textrm{QQ}}}\bar{{\textrm{q}}}\bar{{\textrm{q}}}$$</jats:tex-math><mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML">
<mml:mrow>
<mml:mtext>QQ</mml:mtext>
<mml:mover>
<mml:mrow>
<mml:mtext>q</mml:mtext>
</mml:mrow>
<mml:mrow>
<mml:mo>¯</mml:mo>
</mml:mrow>
</mml:mover>
<mml:mover>
<mml:mrow>
<mml:mtext>q</mml:mtext>
</mml:mrow>
<mml:mrow>
<mml:mo>¯</mml:mo>
</mml:mrow>
</mml:mover>
</mml:mrow>
</mml:math></jats:alternatives></jats:inline-formula> are studied at different separation distances of the heavy quarks at finite temperatures. At high temperature, <jats:inline-formula><jats:alternatives><jats:tex-math>$${{\textrm{QQ}}}\bar{{\textrm{q}}}\bar{{\textrm{q}}}$$</jats:tex-math><mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML">
<mml:mrow>
<mml:mtext>QQ</mml:mtext>
<mml:mover>
<mml:mrow>
<mml:mtext>q</mml:mtext>
</mml:mrow>
<mml:mrow>
<mml:mo>¯</mml:mo>
</mml:mrow>
</mml:mover>
<mml:mover>
<mml:mrow>
<mml:mtext>q</mml:mtext>
</mml:mrow>
<mml:mrow>
<mml:mo>¯</mml:mo>
</mml:mrow>
</mml:mover>
</mml:mrow>
</mml:math></jats:alternatives></jats:inline-formula> will melt at certain distances and the screening distance has been given for different temperatures. As the temperature continues to increase, some configurations of doubly-heavy tetraquark can not exist. Furthermore, we investigate three decay modes of <jats:inline-formula><jats:alternatives><jats:tex-math>$${{\textrm{QQ}}}\bar{{\textrm{q}}}\bar{{\textrm{q}}}$$</jats:tex-math><mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML">
<mml:mrow>
<mml:mtext>QQ</mml:mtext>
<mml:mover>
<mml:mrow>
<mml:mtext>q</mml:mtext>
</mml:mrow>
<mml:mrow>
<mml:mo>¯</mml:mo>
</mml:mrow>
</mml:mover>
<mml:mover>
<mml:mrow>
<mml:mtext>q</mml:mtext>
</mml:mrow>
<mml:mrow>
<mml:mo>¯</mml:mo>
</mml:mrow>
</mml:mover>
</mml:mrow>
</mml:math></jats:alternatives></jats:inline-formula> and compare the potential energy of <jats:inline-formula><jats:alternatives><jats:tex-math>$${{\textrm{QQ}}}\bar{{\textrm{q}}}\bar{{\textrm{q}}}$$</jats:tex-math><mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML">
<mml:mrow>
<mml:mtext>QQ</mml:mtext>
<mml:mover>
<mml:mrow>
<mml:mtext>q</mml:mtext>
</mml:mrow>
<mml:mrow>
<mml:mo>¯</mml:mo>
</mml:mrow>
</mml:mover>
<mml:mover>
<mml:mrow>
<mml:mtext>q</mml:mtext>
</mml:mrow>
<mml:mrow>
<mml:mo>¯</mml:mo>
</mml:mrow>
</mml:mover>
</mml:mrow>
</mml:math></jats:alternatives></jats:inline-formula> with that of <jats:inline-formula><jats:alternatives><jats:tex-math>$${\textrm{QQq}}$$</jats:tex-math><mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML">
<mml:mtext>QQq</mml:mtext>
</mml:math></jats:alternatives></jats:inline-formula> at finite temperature.</jats:p>
作者机构：
[Zhang, Yu-Peng; Li, Xiao-Hua; Chen, Xun] Univ South China, Sch Nucl Sci & Technol, Hengyang 421001, Peoples R China.;[Watanabe, Akira; Watanabe, A] Univ South China, Sch Math & Phys, Hengyang 421001, Peoples R China.
通讯机构：
[Watanabe, A ] U;Univ South China, Sch Math & Phys, Hengyang 421001, Peoples R China.
摘要：
Differential cross sections of the elastic pion -proton scattering are investigated at very small momentum transfer in a holographic QCD model, considering both the strong and Coulomb interaction in the Regge regime. The strong interaction is described by the Pomeron and Reggeon exchange, and the Coulomb interaction is characterized by the one photon exchange. The two interactions are linked through an interference term and we only need to determine a single adjustable parameter involved in this term. As to the parameters for the strong interaction, we can utilize the values determined in the previous studies. The differential cross sections can be predicted without any additional parameters, and it is shown that our predictions are consistent with the experimental data. We explicitly show the momentum transfer dependence for the interference effect. The energy dependence of the contribution ratios for each component is also discussed.
作者：
Zhang, W. Q.;Yu, X. H.;Liu, Z.;Andreyev, A. N.;Qi, C.;...
期刊：
PHYSICAL REVIEW C,2024年110(4) ISSN：2469-9985
通讯作者：
Liu, Z
作者机构：
[Zhou, X. H.; Fu, X. Y.; Dong, J. M.; Liu, Z.; Yu, X. H.; Li, J. G.; Zhang, W. Q.; Huang, H.] Chinese Acad Sci, Inst Modern Phys, Lanzhou 730000, Peoples R China.;[Zhou, X. H.; Fu, X. Y.; Liu, Z.; Yu, X. H.; Huang, H.] Univ Chinese Acad Sci, Beijing 100049, Peoples R China.;[Andreyev, A. N.] Univ York, Dept Phys, York YO10 5DD, England.;[Andreyev, A. N.] Japan Atom Energy Agcy, Adv Sci Res Ctr ASRC, Tokai, Ibaraki 3191195, Japan.;[Qi, C.] AlbaNova Univ Ctr, KTH, SE-10691 Stockholm, Sweden.
通讯机构：
[Liu, Z ] C;Chinese Acad Sci, Inst Modern Phys, Lanzhou 730000, Peoples R China.;Univ Chinese Acad Sci, Beijing 100049, Peoples R China.
摘要：
Based on the Q(p/alpha) values deduced from the linear extrapolations along isotopic chains and on the universal decay law, the proton- and alpha-decay partial half-lives are calculated for odd-Z, even-N neutron-deficient Bi-Pa isotopes. Eight proton-emission states in five new isotopes are suggested, including the 1/2(+) and 9/2(-) states in Bi-183, the 1/2(+) and 7/2(+) states in 187,189At, the 1/2(+) state in Fr-193, and the 9/2(-) state in Ac-199. The calculated half-lives for the 1/2(+) states in Bi-183 and At-187 are around 100 ns, too short to be studied using the recoil separator setups, which strongly encourages the development of new experimental techniques and devices to search for new submicrosecond proton-emitting nuclei.
期刊：
EUROPEAN PHYSICAL JOURNAL C,2023年83(9):1-9 ISSN：1434-6044
通讯作者：
Chu, PC
作者机构：
[Chu, PC; Liu, He; Chu, Peng-Cheng] Qingdao Univ Technol, Res Ctr Theoret Phys, Sci Sch, Qingdao 266033, Peoples R China.;[Cao, Qian] Qingdao Univ Technol, Sch Informat & Control Engn, Qingdao 266033, Peoples R China.;[Li, Xiao-Hua] Univ South China, Sch Nucl Sci & Technol, Hengyang 421001, Peoples R China.;[Li, Xiao-Hua] Univ South China, Cooperat Innovat Ctr Nucl Fuel Cycle Technol & Equ, Hengyang 421001, Peoples R China.;[Ju, Min] China Univ Petr East China, Coll Sci, Qingdao 266580, Peoples R China.
通讯机构：
[Chu, PC ] Q;Qingdao Univ Technol, Res Ctr Theoret Phys, Sci Sch, Qingdao 266033, Peoples R China.
摘要：
<jats:title>Abstract</jats:title><jats:p>We investigate the thermodynamical properties of color-flavor locked (CFL) quark matter at zero temperature, finite temperature, and strong magnetic field by using quasiparticle model. We find that considering CFL quark phase can significantly change the equation of state (EOS) as well as the properties of quark matter in quark stars (QSs) at finite temperature or under magnetic field within quasiparticle model. In particular, our results have shown that we can provide the large QSs within CFL quark phase from quasiparticle model by satisfying both the upper limit of <jats:inline-formula><jats:alternatives><jats:tex-math>$$\Lambda _{1.4}<800$$</jats:tex-math><mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML">
<mml:mrow>
<mml:msub>
<mml:mi>Λ</mml:mi>
<mml:mrow>
<mml:mn>1.4</mml:mn>
</mml:mrow>
</mml:msub>
<mml:mo><</mml:mo>
<mml:mn>800</mml:mn>
</mml:mrow>
</mml:math></jats:alternatives></jats:inline-formula> for the low-spin priors of 1.4 solar mass pulsars from GW170817 and the new estimates of the mass-radius region from PSR J0740 + 6620, PSR J0030 + 0451, HESS J1731-347, and 4U 1702-429, which cannot be obtained by considering the QSs with SQM within quasiparticle model.</jats:p>
通讯作者：
Jian-Jun Dong<&wdkj&>Xi-Jun Wu<&wdkj&>Xiao-Hua Li
作者机构：
[Luo, Song; Li, Xiao-Hua; Pan, Xiao] Univ South China, Sch Nucl Sci & Technol, Hengyang 421001, Peoples R China.;[Dong, Jian-Jun] HengYang Presch Educ Coll, Sch Primary Educ, Hengyang 421001, Peoples R China.;[Wu, Xi-Jun] Univ South China, Sch Math & Phys, Hengyang 421001, Peoples R China.;[He, Biao] Cent South Univ, Sch Phys & Elect, Changsha 410083, Peoples R China.;[Li, Xiao-Hua] Univ South China, Cooperat Innovat Ctr Nucl Fuel Cycle Technol & Equ, Hengyang 421001, Peoples R China.
通讯机构：
[Jian-Jun Dong; Xi-Jun Wu; Xiao-Hua Li] S;School of Math and Physics, University of South China, Hengyang 421001, China<&wdkj&>School of Primary Education, HengYang Preschool Education College, Hengyang 421001, China<&wdkj&>School of Nuclear Science and Technology, University of South China, Hengyang 421001, China<&wdkj&>Cooperative Innovation Center for Nuclear Fuel Cycle Technology & Equipment, University of South China, Hengyang 421001, China<&wdkj&>Key Laboratory of Low Dimensional Quantum Structures and Quantum Control, Hunan Normal University, Changsha 410081, China
关键词：
alpha-decay energy;heavy and superheavy nuclei;shell correction
摘要：
<jats:title>Abstract</jats:title>
<jats:p>Based on the liquid-drop model and using the first derivative of the normalized Gaussian function to consider the shell correction, a simple <jats:italic>α</jats:italic>-decay energy formula is proposed for heavy and superheavy nuclei. The values of corresponding adjustable parameters are obtained by fitting <jats:italic>α</jats:italic>-decay energies of 209 nuclei ranging from <jats:italic>Z</jats:italic> = 90 to <jats:italic>Z</jats:italic> = 118 with <jats:italic>N</jats:italic> ≥ 140. The calculated results are in good agreement with the experimental data. The average and standard deviations between the experimental data and theoretical results are 0.141 and 0.190 MeV, respectively. For comparison, the reliable formulae proposed by Dong T K <jats:italic>et al</jats:italic> (2010, <jats:italic>Phys. Rev. C</jats:italic>
<jats:bold>82</jats:bold>, 034 320), Dong J M <jats:italic>et al</jats:italic> (2010, <jats:italic>Phys. Rev. C</jats:italic>
<jats:bold>81</jats:bold>, 064 309) and the WS3+ nuclear mass model proposed by Wang N <jats:italic>et al</jats:italic> (2011, <jats:italic>Phys. Rev. C</jats:italic>
<jats:bold>84</jats:bold>, 051 303) are also used. The results indicate that our improved 7-parameter formula is superior to these empirical formulae and is largely consistent with the WS3+ nuclear mass model. In addition, we extend this formula to predict the <jats:italic>α</jats:italic>-decay energies for nuclei with <jats:italic>Z</jats:italic> = 117, 118, 119 and 120. The predicted results of these formulae are basically consistent.</jats:p>
期刊：
EUROPEAN PHYSICAL JOURNAL A,2023年59(11):1-8 ISSN：1434-6001
通讯作者：
Li, XH
作者机构：
[Luo, Song; Li, Xiao-Hua; Qi, Lin-Jing; Zhang, Dong-Meng; Li, XH] Univ South China, Sch Nucl Sci & Technol, Hengyang 421001, Peoples R China.;[Li, Xiao-Hua; Li, XH] Univ South China, Cooperat Innovat Ctr Nucl Fuel Cycle Technol & Equ, Hengyang 421001, Peoples R China.;[Li, Xiao-Hua; Li, XH] Univ South China, Natl Exemplary Base Int Sci & Technol, Collaborat Nucl Energy & Nucl Safety, Hengyang 421001, Peoples R China.;[He, Biao] Cent South Univ, Coll Phys & Elect, Changsha 410083, Peoples R China.;[Chu, Peng-Cheng] Qingdao Univ Technol, Res Ctr Theoret Phys, Sci Sch, Qingdao 266033, Peoples R China.
通讯机构：
[Li, XH ] U;Univ South China, Sch Nucl Sci & Technol, Hengyang 421001, Peoples R China.;Univ South China, Cooperat Innovat Ctr Nucl Fuel Cycle Technol & Equ, Hengyang 421001, Peoples R China.;Univ South China, Natl Exemplary Base Int Sci & Technol, Collaborat Nucl Energy & Nucl Safety, Hengyang 421001, Peoples R China.
摘要：
In the present work, based on Wentzel-Kramers-Brillouin (WKB) theory, considering the cluster preformation probability (
$$P_{c}$$
) in statistical physical way (Eur Phys J A 41:197, 2009), we systematically investigate the cluster radioactivity half-lives of 22 trans-lead nuclei ranging from
$$^{221}$$
Fr to
$$^{242}$$
Cm. For comparison, a universal decay law (UDL) proposed by Qi et al. (Phys Rev C 80:044326, 2009), a model-independent formula for cluster radioactivity half-lives proposed by Balasubramaniam et al. (Phys Rev C 70:017301, 2004) and a general law for the emission of charged particles and exotic cluter radioactivity proposed by Sahu et al. (Nucl Phys A 908:17, 2013) are also used. The calculated results in our work, UDL, Balasubramaniam’s formula as well as Sahu’ s formula are basically consistent and can well reproduce the experimental data. In addition, we extend this model to predict the half-lives for 51 nuclei, whose cluster radioactivity is energetically allowed or observed but yet not quantified in NUBASE2020.
摘要：
<jats:title>Abstract</jats:title>
<jats:p>In this study, based on Wentzel-Kramers-Brillouin theory, we systematically investigate the cluster radioactivity half-lives of 22 nuclei ranging from <jats:inline-formula>
<jats:tex-math><?CDATA $ ^{221} {{\rm{Fr}}}$?></jats:tex-math>
<jats:inline-graphic xmlns:xlink="http://www.w3.org/1999/xlink" xlink:href="cpc_47_9_094103_M1.jpg" xlink:type="simple" />
</jats:inline-formula> to <jats:inline-formula>
<jats:tex-math><?CDATA $^{242} {{\rm{Cm }}}$?></jats:tex-math>
<jats:inline-graphic xmlns:xlink="http://www.w3.org/1999/xlink" xlink:href="cpc_47_9_094103_M2.jpg" xlink:type="simple" />
</jats:inline-formula> using a phenomenological model that considers the screened electrostatic effect of the Coulomb potential. In this model, there are two adjustable parameters, <jats:italic>t</jats:italic> and <jats:italic>g</jats:italic>, which are related to the screened electrostatic barrier and the strength of the spectroscopic factor, respectively. The calculated results indicate that this model can effectively reproduce the experimental data, with a corresponding root-mean-square deviation of 0.660. In addition, we extend this model to predict the half-lives of possible cluster radioactive candidates whose cluster radioactivities are energetically allowed or observed but not yet quantified in the evaluated nuclear properties table NUBASE2020. The predicted results are consistent with those obtained using other theoretical models and/or empirical formulas, including the universal decay law proposed by Qi <jats:italic>et al.</jats:italic> [Phys. Rev. C 80, 044326 (2009)], a semi-empirical model for both <jats:italic>α</jats:italic> decay and cluster radioactivity proposed by Santhosh <jats:italic>et al.</jats:italic> [J. Phys. G 35, 085102 (2008)], and a unified formula for the half-lives of <jats:italic>α</jats:italic> decay and cluster radioactivity proposed by Ni <jats:italic>et al.</jats:italic> [Phys. Rev. C 78, 044310 (2008)].</jats:p>
摘要：
In the present work, the cluster radioactivity preformation probability Pc in the scheme of NpNn for the effective number of the valence particles (holes) in trans-lead nuclei has been systematically investigated. This quantity has been explored in the simplified parametrization of NpNn as well as the multiplication NpNnI of this product with the isospin asymmetry I. The calculations for Pc are both performed in microscopic and model-dependent way. Within the microscopic approach, based on our previous work [Chin. Phys. C 47, 014101 (2023)], Pc is calculated in cluster formation model combined with the exponential relationship of Pc to the & alpha; decay preformation probability P & alpha; when the mass number of the emitted cluster Ac 28. While Ac 28, Pc is obtained through the charge-number dependence of Pc on the decay products proposed by Ren et al. [Phys. Rev. C 70, 034304 (2004)]. In the model-dependent approach, Pc is extracted through the ratios from calculated cluster radioactivity half-lives in the framework of unified fission model proposed by Dong et al. [Eur. Phys. J. A 41, 197 (2009)] to experimental ones. Both of the results show Pc in logarithmic form are linear to NpNn as well as NpNnI. For comparison, the parent-mass-number dependence analytical formula as well as the model proposed by Wei and Zhang [Phys. Rev. C 96, 021601(R) (2017)] are also used. Furthermore, the preformation mechanic for cluster radioactivity has also been discussed.
作者机构：
[Luo, Song; Li, Xiao-Hua; Qi, Lin-Jing; Zhang, Dong-Meng; Gui, Hai-Feng] Univ South China, Sch Nucl Sci & Technol, Hengyang 421001, Peoples R China.;[He, Biao] Cent South Univ, Coll Phys & Elect, Changsha 410083, Peoples R China.;[Wu, Xi-Jun] Univ South China, Sch Math & Phys, Hengyang 421001, Peoples R China.;[Li, Xiao-Hua] Univ South China, Cooperat Innovat Ctr Nucl Fuel Cycle Technol & Equ, Hengyang 421001, Peoples R China.;[Li, Xiao-Hua] Univ South China, Natl Exemplary Base Int Sci & Technol, Collaborat Nucl Energy & Nucl Safety, Hengyang 421001, Peoples R China.
通讯机构：
[He, B ] C;Cent South Univ, Coll Phys & Elect, Changsha 410083, Peoples R China.
摘要：
In the present work, we systematically study the spectroscopic factor of proton radioactivity (Sp) with A > 100 using the deformed two-potential approach (D-TPA). It is found that there is a link between the quadrupole deformation parameter of proton emitter and Sp. Based on this result, we propose a simple analytic formula for estimating the spectroscopic factor of proton radioactivity. With the help of this formula, the calculated half-lives of proton radioactivity can reproduce the experimental data successfully within a factor of 2.77. Furthermore, we extend the D-TPA with this formula for evaluating the spectroscopic factor to predict the proton radioactivity half-lives of 12 proton radioactivity candidates whose radioactivity is energetically allowed or observed but not yet quantified in NUBASE2020. For comparison, the universal decay law for proton radioactivity (UDLP) and the new Geiger-Nuttall law (NG-N) are also used. It turns out that all of the predicted results are basically consistent with each other.
作者机构：
[Luo, Song; Li, Xiao-Hua; Qi, Lin-Jing; Zhang, Dong-Meng] Univ South China, Sch Nucl Sci & Technol, Hengyang 421001, Peoples R China.;[Wu, Xi-Jun] Univ South China, Sch Math & Phys, Hengyang 421001, Peoples R China.;[Liang, Chun-Tian] Tianjin Chengjian Univ, Sch Sci, Tianjin 300384, Peoples R China.;[Li, Xiao-Hua] Univ South China, Cooperat Innovat Ctr Nucl Fuel Cycle Technol & Equ, Hengyang 421001, Peoples R China.;[Li, Xiao-Hua] Hunan Normal Univ, Key Lab Low Dimens Quantum Struct & Quantum Contro, Changsha 410081, Peoples R China.
关键词：
cluster radioactivity;cluster-formation model (CFM);half-lives;preformation probability
摘要：
<jats:title>Abstract</jats:title>
<jats:p>In the present work, based on the Wentzel-Kramers-Brillouin (WKB) theory, considering the cluster preformation probability (<jats:inline-formula>
<jats:tex-math><?CDATA $ P_{c} $?></jats:tex-math>
<jats:inline-graphic xmlns:xlink="http://www.w3.org/1999/xlink" xlink:href="cpc_47_1_014101_M1.jpg" xlink:type="simple" />
</jats:inline-formula>), we systematically investigate the cluster radioactivity half-lives of 22 trans-lead nuclei ranging from <jats:sup>221</jats:sup>Fr to <jats:sup>242</jats:sup>Cm. When the mass number of the emitted cluster <jats:inline-formula>
<jats:tex-math><?CDATA $ A_{c} $?></jats:tex-math>
<jats:inline-graphic xmlns:xlink="http://www.w3.org/1999/xlink" xlink:href="cpc_47_1_014101_M3.jpg" xlink:type="simple" />
</jats:inline-formula>
<jats:inline-formula>
<jats:tex-math><?CDATA $ \lt $?></jats:tex-math>
<jats:inline-graphic xmlns:xlink="http://www.w3.org/1999/xlink" xlink:href="cpc_47_1_014101_M4.jpg" xlink:type="simple" />
</jats:inline-formula> 28, <jats:inline-formula>
<jats:tex-math><?CDATA $P_{c} $?></jats:tex-math>
<jats:inline-graphic xmlns:xlink="http://www.w3.org/1999/xlink" xlink:href="cpc_47_1_014101_Z-20221112161050.jpg" xlink:type="simple" />
</jats:inline-formula> is obtained by the exponential relationship of <jats:inline-formula>
<jats:tex-math><?CDATA $ P_{c} $?></jats:tex-math>
<jats:inline-graphic xmlns:xlink="http://www.w3.org/1999/xlink" xlink:href="cpc_47_1_014101_M5.jpg" xlink:type="simple" />
</jats:inline-formula> to the <jats:italic>α</jats:italic> decay preformation probability (<jats:inline-formula>
<jats:tex-math><?CDATA $ P_{\alpha} $?></jats:tex-math>
<jats:inline-graphic xmlns:xlink="http://www.w3.org/1999/xlink" xlink:href="cpc_47_1_014101_M6.jpg" xlink:type="simple" />
</jats:inline-formula>) proposed by R. Blendowskeis <jats:inline-formula>
<jats:tex-math><?CDATA $ et $?></jats:tex-math>
<jats:inline-graphic xmlns:xlink="http://www.w3.org/1999/xlink" xlink:href="cpc_47_1_014101_M7.jpg" xlink:type="simple" />
</jats:inline-formula>
<jats:inline-formula>
<jats:tex-math><?CDATA $ al. $?></jats:tex-math>
<jats:inline-graphic xmlns:xlink="http://www.w3.org/1999/xlink" xlink:href="cpc_47_1_014101_M8.jpg" xlink:type="simple" />
</jats:inline-formula> [Phys. Rev. Lett. <jats:bold>61</jats:bold>, 1930 (1988)], while <jats:inline-formula>
<jats:tex-math><?CDATA $ P_{\alpha} $?></jats:tex-math>
<jats:inline-graphic xmlns:xlink="http://www.w3.org/1999/xlink" xlink:href="cpc_47_1_014101_M9.jpg" xlink:type="simple" />
</jats:inline-formula> is calculated through the cluster-formation model (CFM). When <jats:inline-formula>
<jats:tex-math><?CDATA $ A_{c} $?></jats:tex-math>
<jats:inline-graphic xmlns:xlink="http://www.w3.org/1999/xlink" xlink:href="cpc_47_1_014101_M10.jpg" xlink:type="simple" />
</jats:inline-formula>
<jats:inline-formula>
<jats:tex-math><?CDATA $ \ge $?></jats:tex-math>
<jats:inline-graphic xmlns:xlink="http://www.w3.org/1999/xlink" xlink:href="cpc_47_1_014101_M11.jpg" xlink:type="simple" />
</jats:inline-formula> 28, <jats:inline-formula>
<jats:tex-math><?CDATA $ P_{c} $?></jats:tex-math>
<jats:inline-graphic xmlns:xlink="http://www.w3.org/1999/xlink" xlink:href="cpc_47_1_014101_Z-20221112161420.jpg" xlink:type="simple" />
</jats:inline-formula> is calculated through the charge-number dependence of <jats:inline-formula>
<jats:tex-math><?CDATA $ P_{c} $?></jats:tex-math>
<jats:inline-graphic xmlns:xlink="http://www.w3.org/1999/xlink" xlink:href="cpc_47_1_014101_M12.jpg" xlink:type="simple" />
</jats:inline-formula> on the decay products proposed by Ren <jats:inline-formula>
<jats:tex-math><?CDATA $ et $?></jats:tex-math>
<jats:inline-graphic xmlns:xlink="http://www.w3.org/1999/xlink" xlink:href="cpc_47_1_014101_M13.jpg" xlink:type="simple" />
</jats:inline-formula>
<jats:inline-formula>
<jats:tex-math><?CDATA $ al. $?></jats:tex-math>
<jats:inline-graphic xmlns:xlink="http://www.w3.org/1999/xlink" xlink:href="cpc_47_1_014101_M14.jpg" xlink:type="simple" />
</jats:inline-formula> [Phys. Rev. C <jats:bold>70</jats:bold>, 034304 (2004)]. The half-lives of cluster radioactivity have been calculated by the density-dependent cluster model [Phys. Rev. C <jats:bold>70</jats:bold>, 034304 (2004)] and by the unified formula of half-lives for alpha decay and cluster radioactivity [Phys. Rev. C <jats:bold>78</jats:bold>, 044310 (2008)]. For comparison, a universal decay law (UDL) proposed by Qi <jats:inline-formula>
<jats:tex-math><?CDATA $ et $?></jats:tex-math>
<jats:inline-graphic xmlns:xlink="http://www.w3.org/1999/xlink" xlink:href="cpc_47_1_014101_M15.jpg" xlink:type="simple" />
</jats:inline-formula>
<jats:inline-formula>
<jats:tex-math><?CDATA $ al. $?></jats:tex-math>
<jats:inline-graphic xmlns:xlink="http://www.w3.org/1999/xlink" xlink:href="cpc_47_1_014101_M16.jpg" xlink:type="simple" />
</jats:inline-formula> [Phys. Rev. C <jats:bold>80</jats:bold>, 044326 (2009)], a semi-empirical model for both <jats:italic>α</jats:italic> decay and cluster radioactivity proposed by Santhosh [J. Phys. G: Nucl. Part. Phys. <jats:bold>35</jats:bold>, 085102 (2008)], and a unified formula of half-lives for alpha decay and cluster radioactivity [Phys. Rev. C <jats:bold>78</jats:bold>, 044310 (2008)] are also used. The calculated results of our work, Ni's formula , and the UDL can well reproduce the experimental data and are better than those of Santhosh's model. In addition, we extend this model to predict the half-lives for 51 nuclei, whose cluster radioactivity is energetically allowed or observed but not yet quantified in NUBASE2020.</jats:p>
作者机构：
[Luo, Song; Li, Xiao-Hua; Chen, Xun; Qi, LJ; Qi, Lin-Jing; Zhang, Dong-Meng] Univ South China, Sch Nucl Sci & Technol, Hengyang 421001, Peoples R China.;[He, Biao] Cent South Univ, Coll Phys & Elect, Changsha 410083, Peoples R China.;[Wu, Xi-Jun] Univ South China, Sch Math & Phys, Hengyang 421001, Peoples R China.;[Li, Xiao-Hua] Univ South China, Cooperat Innovat Ctr Nucl Fuel Cycle Technol & Equ, Hengyang 421001, Peoples R China.;[Li, Xiao-Hua] Univ South China, Natl Exemplary Base Int Sci, Tech Collaborat Nucl Energy & Nucl Safety, Hengyang 421001, Peoples R China.
通讯机构：
[Qi, LJ ] U;Univ South China, Sch Nucl Sci & Technol, Hengyang 421001, Peoples R China.
关键词：
cluster radioactivity;decay energy;Geiger and Nuttall law;half-lives
摘要：
<jats:title>Abstract</jats:title>
<jats:p>In this study, derived from Balasubramaniam's formula [Phys. Rev. C <jats:bold>70</jats:bold>, 017301 (2004)] and further considering the effect of the parent nucleus mass, blocking effect, and effect of reduced mass on cluster radioactivity half-lives, we propose a new Geiger-Nuttall law that is model-independent to systematically evaluate the half-lives of this process for 16 even-even nuclei and 10 odd-<jats:italic>A</jats:italic> nuclei. For comparison, a single universal curve for cluster radioactivity and <jats:italic>α</jats:italic> decay proposed by Poenaru [Phys. Rev. C <jats:bold>83</jats:bold>, 014601 (2011)], a scaling law proposed by Horoi [J. Phys. G: Nucl. Part. Phys. <jats:bold>30</jats:bold>, 945 (2004)], an extension of the Viola-Seaborg formula from <jats:italic>α</jats:italic> decay to cluster radioactivity proposed by Ren <jats:italic>et al.</jats:italic> [Phys. Rev. C <jats:bold>70</jats:bold>, 034304 (2004)], a new semi-empirical formula for exotic cluster decay proposed by Balasubramaniam <jats:italic>et al.</jats:italic> [Phys. Rev. C <jats:bold>70</jats:bold>, 017301 (2004)], and a unified formula for the half-lives of <jats:italic>α</jats:italic> decay and cluster radioactivity proposed by Ni <jats:italic>et al.</jats:italic> [Phys. Rev. C <jats:bold>78</jats:bold>, 044310 (2008)] are also used. The calculated results of our new Geiger-Nuttall law are in good agreement with the experimental half-lives, with the least rms being 0.606, and are better than the compared values. Moreover, we extend this formula to predict the cluster radioactivity half-lives of 51 nuclei whose decay energies are energetically allowed or observed but not yet quantified in NUBASE2020.</jats:p>
摘要：
<jats:title>Abstract</jats:title>
<jats:p>In this study, considering the modified preformation probability <jats:inline-formula>
<jats:tex-math><?CDATA $ P_c $?></jats:tex-math>
<jats:inline-graphic xmlns:xlink="http://www.w3.org/1999/xlink" xlink:href="cpc_47_11_114103_M1.jpg" xlink:type="simple" />
</jats:inline-formula> to be <jats:inline-formula>
<jats:tex-math><?CDATA $\log_{10}P_c= $?></jats:tex-math>
<jats:inline-graphic xmlns:xlink="http://www.w3.org/1999/xlink" xlink:href="cpc_47_11_114103_M2.jpg" xlink:type="simple" />
</jats:inline-formula>
<jats:inline-formula>
<jats:tex-math><?CDATA $ ({A_c-1})/{3}\log_{10}P_\alpha + \,c'$?></jats:tex-math>
<jats:inline-graphic xmlns:xlink="http://www.w3.org/1999/xlink" xlink:href="cpc_47_11_114103_M2-1.jpg" xlink:type="simple" />
</jats:inline-formula>, where <jats:inline-formula>
<jats:tex-math><?CDATA $ P_\alpha $?></jats:tex-math>
<jats:inline-graphic xmlns:xlink="http://www.w3.org/1999/xlink" xlink:href="cpc_47_11_114103_M3.jpg" xlink:type="simple" />
</jats:inline-formula> and <jats:inline-formula>
<jats:tex-math><?CDATA $ c' $?></jats:tex-math>
<jats:inline-graphic xmlns:xlink="http://www.w3.org/1999/xlink" xlink:href="cpc_47_11_114103_M4.jpg" xlink:type="simple" />
</jats:inline-formula> are the <jats:italic>α</jats:italic>-particle preformation probability and an adjustable parameter proposed by Wang <jats:italic>et al. </jats:italic>[Chin. Phys. C <jats:bold>45</jats:bold>, 044111 (2021)], respectively, we extend a new simple model put forward by Bayrak [J. Phys. G <jats:bold>47</jats:bold>, 025102 (2020)] to systematically study the cluster radioactivity half-lives of 28 trans-lead nuclei ranging from <jats:inline-formula>
<jats:tex-math><?CDATA $\rm{^{222}Fr}$?></jats:tex-math>
<jats:inline-graphic xmlns:xlink="http://www.w3.org/1999/xlink" xlink:href="cpc_47_11_114103_M5.jpg" xlink:type="simple" />
</jats:inline-formula> to <jats:inline-formula>
<jats:tex-math><?CDATA $ \rm{^{242}Cm} $?></jats:tex-math>
<jats:inline-graphic xmlns:xlink="http://www.w3.org/1999/xlink" xlink:href="cpc_47_11_114103_M6.jpg" xlink:type="simple" />
</jats:inline-formula>, which is based on the Wentzel-Kramers-Brillouin approximation and Bohr–Sommerfeld quantization condition. For comparison, a universal decay law proposed by Qi <jats:italic>et al.</jats:italic> [Phys. Rev. C <jats:bold>80</jats:bold>, 044326 (2009)], a three-parameter model-independent formula put forward by Balasubramaniam <jats:italic>et al. </jats:italic>[Phys. Rev. C <jats:bold>70</jats:bold>, 017301 (2004)], and the semi-empirical model proposed by Tavares <jats:italic>et al. </jats:italic>[Eur. Phys. J. A <jats:bold>49</jats:bold>, 1 (2013)] are used. Our calculated results reproduce the experimental data well, with a standard deviation of 0.818. Furthermore, we use this model to predict the cluster radioactivity half-lives of 51 possible cluster radioactive candidates whose cluster radioactivities are energetically allowed or observed but not yet quantified in NUBASE2020.</jats:p>
