Physics and Electronics

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

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

Received date: 2019-03-25

  Online published: 2020-03-16

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.

Cite this article

SUN Jin , YANG Jifeng . A study of nucleon-nucleon scattering in covariant chiral effective field theory at the two-loop level[J]. Journal of East China Normal University(Natural Science), 2020 , 2020(2) : 90 -97 . DOI: 10.3969/j.issn.1000-5641.201922008

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