径向基函数方法在预言原子核电荷半径中的应用  

Nuclear Charge Radius Predictions with the Radial Basis Function Approach

作　　者：李涛 姚红 刘敏[1,2] 王宁 Tao LI;Hong YAO;Min LIU;Ning WANG(Department of Physics,Guangxi Normal University,Guilin,541004,Guangxi,China;Guangxi Key Laboratory of Nuclear Physics and Technology,Guilin,541004,Guangxi,China;School of Physics,Beihang University,Beijing 102206,China)

机构地区：[1]广西师范大学物理科学与技术学院,广西桂林541004 [2]广西核物理与核技术重点实验室,广西桂林541004 [3]北京航空航天大学物理学院,北京102206

出　　处：《原子核物理评论》2023年第1期31-35,共5页Nuclear Physics Review

基　　金：国家自然科学基金资助项目(U1867212,11965003);广西自然科学基金资助项目(2022GXNSFBA035528,2019GXNSFDA185011)。

摘　　要：结合径向基函数方法有效地提高了两个全局模型预言原子核电荷半径的精度和能力。利用885个原子核电荷半径实验数据进行留一交叉验证,Skyrme Hartree-Fock-Bogoliubov(HFB25)模型的计算结果与实验测量结果的均方根偏差从0.025 fm降到了0.018 fm,基于Weizsäcker-Skyrme(WS*)核质量模型给出的壳修正能和形变参数提出的四参数公式的计算结果与实验测量结果的均方根偏差从0.022 fm降到了0.017 fm。两个模型结合径向基函数方法预言最新的144个实验值的均方根偏差仅为0.015 fm。通过研究径向基函数方法对HFB25和WS*两个模型在超重区域预言值的修正程度发现,径向基函数方法对于WS*模型在超重区域的修正值大部分可以保持在0.1 fm以内,而对于HFB25模型在超重区域的修正值大部分都超过了0.1 fm,这对于分析模型误差以及进一步改善原子核电荷半径的预言精度非常有用。Accuracy and predictive power of two global models to predict nuclear charge radius are significantly improved combined with the radial basis function(RBF)approach.The root-mean-square(rms)deviation of Skyrme Hartree-fock-Bogoliubov(HFB25)model is reduced from 0.025 to 0.018 fm,using 885 experimental data of the nuclear charge radius to leave-one-out cross validation,the rms deviation of a formula proposed based on the shell correction energies and deformation parameters given by the Weizäcker-Skyrme(WS*)nuclear mass model is reduced from 0.022 to 0.017 fm.For the latest 144 experimental data,the rms deviations of HFB25 and WS*models combined with RBF approach are only 0.015 fm.With the RBF approach,by studying the correction degree of prediction values of HFB25 and WS*models in the superheavy region,it is found that the correction degree of WS*model in the superheavy region can be kept within 0.1 fm,while the correction degree of HFB25 model in the superheavy region is more than 0.1 fm.This is very useful for analyzing model errors and further improving the prediction accuracy of nuclear charge radius.

关 键 词：电荷半径 径向基函数 均方根偏差 超重核 

分 类 号：O571.53[理学—粒子物理与原子核物理]