广西师范大学学报（自然科学版） ›› 2018, Vol. 36 ›› Issue (1): 1-8.doi: 10.16088/j.issn.1001-6600.2018.01.001

• •    下一篇

Weizscker-Skyrme核质量公式的理论预言能力研究

陈梦华,刘敏,王宁*   

  1. 广西师范大学物理科学与技术学院,广西桂林541004
  • 收稿日期:2017-05-27 出版日期:2018-01-20 发布日期:2018-07-17
  • 通讯作者: 王宁(1976—),男,陕西蒲城人,广西师范大学教授,博士。E-mail:wangning@gxnu.edu.cn
  • 基金资助:
    国家自然科学基金(11422548);广西自然科学基金(2015GXNSFDA139004)

Predictive Power of the Weizscker-Skyrme Nuclear Mass Model

CHEN Menghua,LIU Min,WANG Ning*   

  1. College of Physics Science and Technology,Guangxi Normal University,Guilin Guangxi 541004,China
  • Received:2017-05-27 Online:2018-01-20 Published:2018-07-17

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摘要： 本文基于Weizscker-Skyrme(WS4)原子核质量公式,系统地分析了WS4核质量公式理论值与AME2016中实验值的偏差。结果表明,WS4核质量公式的计算结果能够很好地再现最新的实验数据,58个新测原子核质量的均方根偏差为0.543 MeV。WS4核质量公式理论计算结果与实验结果在重核区域符合得很好,为新核素以及超重元素的研究提供了参考,还进一步检验了径向基函数方法可以非常有效地提高WS4核质量公式的计算精确度。

关键词: 原子核质量公式, 理论预言, 径向基函数方法, 超重原子核

Abstract: Based on Weizscker-Skyrme (WS4) nuclear mass formula, the predictive power of the model is investigated. The deviation between the predicted masses with the WS4 model and the experimental data in AME2016 is calculated. The latest experimental data could be well reproduced by the calculated results of the WS4 nuclear mass formula,and the rms deviation of the 58 “new” masses is 0.543 MeV. The predictions of the WS4 nuclear mass formula are in good agreement with the experimental data in the heavy nuclei and superheavy nuclei region,which provides a reliable tool for the study of the new superheavy nuclei. In addition,the radial basis function approach can be used to further improve the accuracy of the WS4 nuclear mass formula.

Key words: nuclear mass formula, predictive power, radial basis function approach, superheavy nuclei

中图分类号: 

  • O571
[1] 周善贵.超重原子核与超重元素[J].物理,2014,43(12):817-825.
[2] NASIROV A K,MANDAGLIO G,GIARDINA G,et al. Effects of the entrance channel and fission barrier in the synthesis of superheavy element Z=120[J].Physical Review C,2011,84(4):044612.
[3] WANG Yanzhao,WANG Shaojing,HOU Zhaoyu,et al. Systematic study of α-decay energies and half-lives of superheavy nuclei[J]. Physical Review C,2015,92(6):064301.
[4] DONG Tiekuang,REN Zhongzhou. New model of binding energies of heavy nuclei with Z≥90[J]. Physical Review C,2005,72(6):064331.
[5] DONG Tiekuang,REN Zhongzhou. Improved version of a binding energy formula for heavy and superheavy nuclei with Z≥90 and N≥140[J]. Physical Review C,2008,77(6):064310.
[6] MLLER P,NIX J R,MYERS W D,et al. Volume and surface symmetry energy coefficient[J].At Data and Nucl Data Tables,1995,59:185-381.
[7] WANG Ning,LIU Min,WU Xizhen. Modification of nuclear mass formula by considering isospin effects[J]. Physical Review C,2010,81(4):044322-1-8.
[8] MO Qiuhong,LIU Min,WANG Ning. Systematic study of shell gaps in nuclei[J]. Physical Review C,2014,90(4):024320.
[9] LIU Min,WANG Ning,DENG Yangge,et al. Further improvements on a global nuclear mass model[J]. Physical Review C,2011,84(1):014333.
[10] WANG Ning,LIANG Zuoying,LIU Min,et al. Mirror nuclei constraint in nuclear mass formula[J]. Physical Review C,2010,82(4):044304.
[11] WANG Ning,LIU Min,WU Xizhen,et al. Surface diffuseness correction in global mass formula[J].Physical Letters B,2014,734(27):215-219.
[12] 王宁,刘敏. Si,S,Ca,Ni同位素中的新幻数[J].科学通报,2015,60(13):1145-1149.
[13] 刘敏,王宁. Weizscker-Skyrme核质量公式[J].广西物理,2012,33(1):1-6.
[14] GORIELY S,SAMYU M,PEARSON J M. Further explorations of Skyrme-Hartree-Fock-Bogoliubov mass formulas. VII. Simultaneous fits to masses and fission barriers[J]. Physical Review C,2007,75(6):064312-1-7.
[15] GORIELY S,CHAMEL N,PEARSON J M. Skyrme-Hartree-Fock-Bogoliubov nuclear mass formulas: crossing the 0.6 MeV accuracy threshold with microscopically deduced pairing[J].Physical Review Letters,2009,102(15): 152503-1-4.
[16] DUFLO J,ZUKER A P. Microscopic mass formulas[J]. Physical Review C,1995,52(1):R23-R27.
[17] GENG Lisheng,TOKI Hiroshi,MENG Jie. Masses,Deformations and charge radii-nuclear ground-state properties in the relativistic mean field model[J]. Progress of Theoretical Physics,2005,113(4): 785-800.
[18] FU G J,JIANG Hui,ZHAO Yumin,et al. Nuclear binding energies and empirical proton-neutron interactions[J]. Physical Review C,2010,82(3):034304.
[19] FU G J,LEI Y,JIANGH,et al. Description and evaluation of nuclear masses based on residual proton-neutron interactions[J]. Physical Review C,2011,84(3):034311.
[20] ORMADN W E. Mapping the proton drip line up to A=70[J]. Physical Review C,1997,55(5):2407-2417.
[21] BAREA J,FRANK A,HIRSCH J G,et al. Garvey-Kelson relations and new nuclear mass tables[J]. Physical Review C,2008,77(4):041304.
[22] KANEKO K,SUN Yang,MIZUSAKI T,et al. Shell-model study for neutron-rich sd-shell nuclei[J]. Physical Review C,2011,83(1):014320.
[23] YUAN Cenxi. Uncertainty decomposition method and its application to the liquid drop model[J]. Physical Review C,2016,93(3):034310.
[24] AUDI G,WANG Meng,WAPSTRA A H,et al. The AME2012 atomic mass evaluation(Ⅰ)[J]. Chinese Physics C,2012,36(12):1287-1602.
[25] HUANG W J,AUDI G,WANG Meng,et al. The AME2016 atomic mass evaluation(Ⅰ) .Evaluation of input data;and adjustment procedures[J]. Chinese Physics C,2017,41(3) :141-484.
[26] WANG Ning,LIU Min,Nuclear mass predictions with a radial basis function approach[J]. Physical Review C,2011,84(5):051303-1-4.
[27] 王宁,刘敏.径向基函数方法在原子核质量预言中的应用[J].广西师范大学学报(自然科学版),2012,30(3):59-63.
[28] NIU Zhongming,ZHU Zhonglai,NIU Yifei,et al. Radial basis function approach in nuclear mass prediction[J]. Physical Review C,2013,88(2):024325.
[29] NIU Zhongming,SUN Baohua,LIANG Haozhao,et al. Improved radial basis function approach with odd-even corrections[J]. Physical Review C,2016,94(5):054315.
[30] WANG Meng,AUDI G,KONDEV F G,et al. The AME2016 atomic mass evaluation(Ⅱ)[J] .Chinese Physics C,2017,41(3):030003.
[31] WANG Meng,AUDI G,WAPSTRA A H,et al. The AME2012 atomic mass evaluation(Ⅱ)[J] .Chinese physics C,2012,36(12):1603-2014.
[32] C＇WIOK S,DOBACZEWSKI J,HEENEN P H,et al. Shell structure of the superheavy elements[J].Nuclear Physics A,1996,611(2/3):211-246.
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