基于库仑能经验公式及质量模型对库仑置换能的系统学研究  

Systematic study of Coulomb displacement energy based on the Coulomb energy empirical formula and mass model

作　　者：孟宇航 王小保[2] 图雅[1] 董国香[2] MENG YuHang;WANG XiaoBao;TU Ya;DONG GuoXiang(School of Physical Science and Technology,Shenyang Normal University,Shenyang 110034,China;School of Science,Huzhou University,Huzhou 313000,China)

机构地区：[1]沈阳师范大学物理科学与技术学院,沈阳110034 [2]湖州师范学院理学院,湖州313000

出　　处：《中国科学：物理学、力学、天文学》2020年第7期27-36,共10页Scientia Sinica Physica,Mechanica & Astronomica

基　　金：国家自然科学基金(编号:U1732138,11605054,11505056,11305108,11790325,11847315)资助项目。

摘　　要：本文基于原子核结合能,对库仑能经验公式进行了研究.从最简单的经验公式出发,唯象地增加库仑交换项、对关联修正、壳修正等,使库仑能被更好地计算出来.同时,调研了常用质量模型的库仑置换能,它与实验的系统性偏差和理论中强相互作用的同位旋破缺项的缺失有关.对该偏差的研究发现,微观理论的结果有明显系统学行为,有望引入同位旋破缺项等改进,而基于参数拟合的唯象模型系统学特征不明显,可能是模型参数不能包含微观结构信息导致的.In this study,starting from the nuclear binding energy,we studied the empirical formula of the Coulomb energy systematically.Beginning with the simplest empirical formula,we added the Coulomb exchange term,pairing correlation,and shell correction,to calculate the Coulomb energy more precisely.In addition,we investigated the Coulomb displacement energy of widely used mass models.The discrepancies between the calculation results and experimental data might be caused by the missing of the isospin breaking terms of strong interactions in theory.By investigating these discrepancies,we found that the results obtained by microscopic theories presented a distinctive systematical behavior.Thus,these theories can be improved by including isospin breaking terms.However,in the results obtained by phenomenological models,the systematical behavior is unclear.This occurs because it is difficult for the information of the microscopic nuclear structure to be absorbed into the parameters of phenomenological models.

关 键 词：库仑能经验公式 镜像核 库仑置换能 质量模型 

分 类 号：O562[理学—原子与分子物理]