华东师范大学学报(自然科学版) ›› 2024, Vol. 2024 ›› Issue (3): 12-26.doi: 10.3969/j.issn.1000-5641.2024.03.002

• 原子核与高能物理 • 上一篇    下一篇

重子磁矩的协变手征有效理论研究

周海峰, 杨继锋*()   

  1. 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 出版日期:2024-05-25 发布日期:2024-05-25
  • 通讯作者: 杨继锋 E-mail:jfyang@phy.ecnu.edu.cn
  • 基金资助:
    国家自然科学基金 (11435005)

Study of baryon magnetic moments in covariant chiral effective theory

Haifeng ZHOU, Jifeng YANG*()   

  1. School of Physics and Electronic Science, East China Normal University, Shanghai 200241, China
  • Received:2023-04-08 Online:2024-05-25 Published:2024-05-25
  • Contact: Jifeng YANG E-mail:jfyang@phy.ecnu.edu.cn

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

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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