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

SUN Jin; YANG Jifeng

doi:10.3969/j.issn.1000-5641.201922008

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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 Sciences), 2020, (2): 90-97. doi: 10.3969/j.issn.1000-5641.201922008

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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 Sciences), 2020, (2): 90-97. doi: 10.3969/j.issn.1000-5641.201922008

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

doi: 10.3969/j.issn.1000-5641.201922008

SUN Jin,
YANG Jifeng^,

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

Received Date: 2019-03-25
Publish Date: 2020-03-01

Abstract

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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References(16)

References

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