核子-核子散射协变手征有效场论的两圈图研究

孙进; 杨继锋

doi:10.3969/j.issn.1000-5641.201922008

核子-核子散射协变手征有效场论的两圈图研究

doi: 10.3969/j.issn.1000-5641.201922008

孙进,
杨继锋^,

华东师范大学物理与电子科学学院, 上海　200241

基金项目: 国家自然科学基金(11435005)

详细信息

通讯作者:
杨继锋, 男, 副教授, 硕士生导师, 研究方向为粒子物理与场论. E-mail: jfyang@phy.ecnu.edu.cn

中图分类号: O413.3
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- 被引次数: 0
出版历程
- 收稿日期: 2019-03-25
- 刊出日期: 2020-03-01

A study of nucleon-nucleon scattering in covariant chiral effective field theory at the two-loop level

SUN Jin,
YANG Jifeng^,

School of Physics and Electronic Science, East China Normal University, Shanghai　200241, China

摘要

摘要: 从协变手征有效理论出发, 计算了核子-核子(Nucleon-Nucleon, N-N)散射两圈图振幅. 两圈图是以箱图为骨架并对π介子自能进行修正所得. 在减除时, 采用两种减除方案: $\overline {{\rm{MS}}}$和${\rm{E}}\overline {{\rm{MS}}} \left( {{\rm{Extended}}\;\overline {{\rm{MS}}} } \right)$. 由$\overline {{\rm{MS}}}$得到的振幅严重破坏手征微扰展开的幂次规则, 由${\rm{E}}\overline {{\rm{MS}}}$得到的振幅中仅余非定域“反常”贡献, 剩下的均是满足手征幂次规则的贡献.
- 协变手征有效场论 /
- $\scriptstyle\overline {{\rm{MS}}}$方案 /
- $\scriptstyle{\rm{E}}\overline {{\rm{MS}}}$方案 /
- 手征幂次规则
Abstract: The amplitude of the two-loop level in N-N(nucleon-nucleon) scattering is calculated using covariant chiral effective theory. Based on the skeleton of the box diagram, the two-loop diagram results from the correction of pion self-energy. Two subtraction schemes will be employed for comparison: $\overline {{\rm{MS}}}$ and ${\rm{E}}\overline {{\rm{MS}}}$. The loop amplitude obtained with $\overline {{\rm{MS}}}$ contains terms that violate chiral power counting rules; with ${\rm{E}}\overline {{\rm{MS}}}$, the results are entirely chiral contributions with the exception of non-local “anomalous” ones that must be retained.

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图 1 N-N散射图

Fig. 1 N-N scattering diagram

下载: 全尺寸图片幻灯片

图 2 一种介子自能修正后的箱图

Fig. 2 One pion self-energy corrected box

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图 3 发散子图及其抵消项

Fig. 3 Divergent sub-diagram and counter terms

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