基于剩余质子-中子相互作用来描述和预言A≥100的核质量  

Description and prediction of nuclear masses for A≥100 based on residual proton-neutron interactions

作　　者：焦宝宝 JIAO BaoBao(Department of Physics, University of Shanghai for Science and Technology, Shanghai 200093, Chin)

机构地区：[1]上海理工大学理学院,上海200093

出　　处：《中国科学：物理学、力学、天文学》2018年第5期21-27,共7页Scientia Sinica Physica,Mechanica & Astronomica

摘　　要：剩余质子-中子相互作用对原子核质量和核子对关联的研究具有重要意义.本文对选定核的左上角和右下角相邻原子核的质量以及最后一个质子与中子剩余相互作用(δV_(1p-1n))进行了研究.在已有的奇核δV_(1p-1n)和偶核δV_(1p-1n)两个经验公式的基础上进行改变得到一个新的经验公式,这个经验公式可以同时描述奇核和偶核两种剩余相互作用.分别运用AME2012和AME2016数据库的实验值结合新的经验公式计算得到质量数A≥100的原子核质量分别与AME2012和AME2016数据库中的实验值进行比较.对比结果表明,本文的计算值与AME2012和AME2016数据库中的实验值较吻合(A≥100时,与AME2012比较得到的均方根误差(RMSD)≈138.4 keV;与数据库AME2016比较得到的RMSD≈141 keV).此外,运用本文新的经验公式结合一些已知的核质量(AME2012)预言了一些未知的核质量,对比发现,本文的预言值与AME2012和AME2016的结果也吻合,其中一些预言值与AME2016中的实验值也较接近.由此说明本文计算中质核和重核质量的精确性可与AME2012外推法相媲美.The residual proton-neutron interactions between the last proton and the last neutron（δV1p-1n） are very useful in calculating local mass relations and nucleon-pair correlations. In this paper, after choosing a nuclei, we made an analysis of its neighboring nuclei on the upper left corner and the lower right corner respectively. Based on the two residual protonneutron interactions empirical formulas of even-A（A is the mass number） nuclei and odd-A nuclei, we obtain a new residual proton-neutron interactions empirical formula exhibited in residual proton-neutron interactions of odd-A nuclei and even-A nuclei. We then calculated the nuclear masses for mass number A≥100. The differences between our calculated values and databases show that the RMSDs are small（for A≥100： the root-mean-squared deviation（RMSD） between our calculated values and the AME2012 databases ≈138.4 keV; the RMSD between our calculated values and the AME2016 databases ≈ 141 keV）. With the δV1p-1nformula and the known masses（AME2012）, we have successfully predicted some unknown masses. We note that our predicted masses are close to those values in the AME2012 and AME2016 databases.In addition, some of our predicted values have good accuracy and compared well with experimental values（AME2016）.The result demonstrates that the accuracy of our predicted values for medium and heavy nuclei is comparable to those of the AME2012 extrapolations.

关 键 词：原子核质量 剩余质子-中子相互作用 结合能 

分 类 号：O571[理学—粒子物理与原子核物理]