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.
- Received 27 January 2021
- Accepted 12 April 2021
DOI:https://doi.org/10.1103/PhysRevC.103.054002
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