华东师范大学学报（自然科学版） >

2024 , Vol. 2024 >Issue 3: 12 - 26

DOI: https://doi.org/10.3969/j.issn.1000-5641.2024.03.002

原子核与高能物理

重子磁矩的协变手征有效理论研究

  • 周海峰 ,
  • 杨继锋
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  • 华东师范大学 物理与电子科学学院, 上海　200241

收稿日期: 2023-04-08

  网络出版日期: 2024-05-25

基金资助

国家自然科学基金 (11435005)

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Study of baryon magnetic moments in covariant chiral effective theory

  • Haifeng ZHOU ,
  • Jifeng YANG
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  • School of Physics and Electronic Science, East China Normal University, Shanghai　200241, China

Received date: 2023-04-08

  Online published: 2024-05-25

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摘要

在SU(3)协变手征有效理论框架下, 使用扩展的极小减除(extended minimal subtraction,$ {\text{E}}\overline {{\text{MS}}} $)方案, 计算了至次领头阶(next-to-leading order, NLO)的重子质量和重子磁矩的一圈图修正贡献, 并使用实验数据与PACS-CS格点数据组的数据对解析结果进行了数值拟合. 结果表明, 在NLO重子质量和重子磁矩的修正贡献中, $ {\text{E}}\overline {{\text{MS}}} $方案可以给出不错的理论结果和数值拟合的结果; 该结果相较于重重子方法和红外正规化方法的结果更加优秀, 并且与EOMS (extended-on-mass-shell)方案的结果相近.

关键词： 手征有效场论; 扩展的极小减除方案; 重子质量; 重子磁矩; 数值拟合

本文引用格式

周海峰 , 杨继锋 . 重子磁矩的协变手征有效理论研究[J]. 华东师范大学学报（自然科学版）, 2024 , 2024(3) : 12 -26 . DOI: 10.3969/j.issn.1000-5641.2024.03.002

Abstract

In this paper, we calculate the next-to-leading order (NLO) corrections to the baryon mass and magnetic moment using the covariant chiral perturbation theory within the extended minimal subtraction$({\text{E}}\overline {{\text{MS}}})$scheme under SU(3). We also present a comparative analysis of the experimental data and lattice quantum chromodynamics data with the $ {\text{E}}\overline {{\text{MS}}} $ results, and extrapolate it into physical value. We show that $ {\text{E}}\overline {{\text{MS}}} $ provides a reasonable theoretical and numerical result at the NLO, better than those obtained from the heavy-baryon approach and infrared regularization, and close to that obtained by the extended-on-mass-shell (EOMS) scheme.

Key words： covariant chiral effective field theory; extended minimal subtraction scheme; baryon mass; baryon magnetic moment; numerical fitting

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