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Comparative studies on nuclear elastic magnetic form factors between the relativistic and non-relativistic mean-field approaches

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【作者】 李鑫； 王云生； 郭肖勇； 陈美娜； 刘健； 许昌；

【Author】 Xin Li;Yunsheng Wang;Xiaoyong Guo;Meina Chen;Jian Liu;Chang Xu;College of Science, China University of Petroleum (East China);College of Electronic Information and Automation, Tianjin University of Science and Technology;School of Physics and Electronics, Shandong Normal University;Department of Physics and Key Laboratory of Modern Acoustics, Nanjing University;

【机构】 College of Science, China University of Petroleum (East China)； College of Electronic Information and Automation, Tianjin University of Science and Technology； School of Physics and Electronics, Shandong Normal University； Department of Physics and Key Laboratory of Modern Acoustics, Nanjing University；

【摘要】 It is known that elastic magnetic electron scattering can be used to study the magnetic properties of nuclei and determine the outermost-shell single-particle orbitals.In this study,the magnetic form factors | F_M(q)|~2 of odd-A nuclei calculated with relativistic and non-relativistic models are systematically compared.We use the relativistic mean-field(RMF) and Skyrme Hartree-Fock(SHF) models to generate single-particle wave functions and calculate the |F_M(q)|~2 values of selected nuclei under relativistic and non-relativistic frameworks,respectively.Geometric factors are introduced through the spherical limit method to consider the influences of deformation,which improves the agreement between the theoretical results and experimental data.It is shown that both the models have the capability to describe the magnetic form factors in the spherical and deformed cases,and the discrepancies in|F_M(q)|~2 reflect the differences in the descriptions of the single-particle orbital between the two models.

【Abstract】 It is known that elastic magnetic electron scattering can be used to study the magnetic properties of nuclei and determine the outermost-shell single-particle orbitals.In this study,the magnetic form factors | F_M(q)|~2 of odd-A nuclei calculated with relativistic and non-relativistic models are systematically compared.We use the relativistic mean-field(RMF) and Skyrme Hartree-Fock(SHF) models to generate single-particle wave functions and calculate the |F_M(q)|~2 values of selected nuclei under relativistic and non-relativistic frameworks,respectively.Geometric factors are introduced through the spherical limit method to consider the influences of deformation,which improves the agreement between the theoretical results and experimental data.It is shown that both the models have the capability to describe the magnetic form factors in the spherical and deformed cases,and the discrepancies in|F_M(q)|~2 reflect the differences in the descriptions of the single-particle orbital between the two models.

【关键词】 magnetic form factors； single-particle wave function； mean-field model；
【Key words】 magnetic form factors； single-particle wave function； mean-field model；
【基金】 Supported by the National Natural Science Foundation of China (11505292, 11605105, 11822503, 11975167, 12035011);the Shandong Provincial Natural Science Foundation,China (ZR2020MA096);the Fundamental Research Funds for the Central Universities (20CX05013A, 22120210138);the Graduate Innovative Research Funds of China University of Petroleum (East China)(YCX2020104)
  • 【文献出处】 Chinese Physics C ,中国物理C , 编辑部邮箱 ,2022年01期
  • 【分类号】O412.1
  • 【下载频次】6
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