Energy per particle of nuclear and neutron matter from subleading chiral three-nucleon interactions

N. Kaiser
Phys. Rev. C 103, 054002 – Published 6 May 2021

Abstract

From the subleading contributions to the chiral three-nucleon (3N) interaction [published in Phys. Rev. C 77, 064004 (2008) and Phys. Rev. C 84, 054001 (2011)], their first-order contributions to the energy per particle of isospin-symmetric nuclear matter and pure neutron matter are derived in an analytical way. For the variety of short-range and long-range terms that constitute the subleading chiral 3N force the pertinent closed 3-ring, 2-ring, and 1-ring diagrams are evaluated. While 3-ring diagrams vanish by a spin-trace and the results for 2-ring diagrams can be given in terms of elementary functions of the ratio Fermi momentum over pion mass, one ends up in most cases for the closed 1-ring diagrams with one-parameter integrals. The same treatment is applied to the subsubleading chiral three-nucleon interactions as far as these have been constructed up to now.

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  • Received 27 January 2021
  • Accepted 12 April 2021

DOI:https://doi.org/10.1103/PhysRevC.103.054002

©2021 American Physical Society

Physics Subject Headings (PhySH)

Nuclear Physics

Authors & Affiliations

N. Kaiser*

  • Physik-Department T39, Technische Universität München, D-85747 Garching, Germany

  • *nkaiser@ph.tum.de

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Vol. 103, Iss. 5 — May 2021

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