Nucleon-nucleon scattering up to next-to-next-to-leading order in manifestly Lorentz-invariant chiral effective field theory: peripheral phases

Abstract

We study the nucleon-nucleon interaction up to next-to-next-to-leading order using time-ordered perturbation theory in the framework of manifestly Lorentz-invariant chiral effective field theory. We present the two-pion exchange contribution at one-loop level, which is consistent with the corresponding non-relativistic expressions in the large-nucleon-mass limit. Using the Born series truncated at one-loop order, we calculate the phase shifts and mixing angles of the partial waves with the angular momentum $l\ge 2$. Comparing with the results of non-relativistic formulation, we find an improved description of the phase shifts for some $D$ waves such as the ${}^3{D}_3$ one. For the other partial waves, both approaches show the globally similar results.

26 pages, 9 figures, matches the published version

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Cited by in corpus (4)

• Reconciling light nuclei and nuclear matter: relativistic $abinitio$ calculations
• Relativistic model-free prediction for neutrinoless double beta decay at leading order
• Nucleon-nucleon scattering up to next-to-leading order in manifestly Lorentz-invariant chiral effective field theory: low phases and the deuteron
• Enhancement of deltaful two-pion exchange nuclear forces