Equation of state of nuclear and neutron matter at third-order in perturbation theory from chiral effective field theory

J. W. Holt and N. Kaiser
Phys. Rev. C 95, 034326 – Published 29 March 2017

Abstract

We compute from chiral two- and three-nucleon interactions the energy per particle of symmetric nuclear matter and pure neutron matter at third-order in perturbation theory including self-consistent second-order single-particle energies. Particular attention is paid to the third-order particle-hole ring diagram, which is often neglected in microscopic calculations of the equation of state. We provide semianalytic expressions for the direct terms from central and tensor model-type interactions that are useful as theoretical benchmarks. We investigate uncertainties arising from the order-by-order convergence in both many-body perturbation theory and the chiral expansion. Including also variations in the resolution scale at which nuclear forces are resolved, we provide new error bands on the equation of state, the isospin-asymmetry energy, and its slope parameter. We find in particular that the inclusion of third-order diagrams reduces the theoretical uncertainty at low densities, while in general the largest error arises from omitted higher-order terms in the chiral expansion of the nuclear forces.

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  • Received 15 December 2016
  • Revised 22 February 2017

DOI:https://doi.org/10.1103/PhysRevC.95.034326

©2017 American Physical Society

Physics Subject Headings (PhySH)

Nuclear Physics

Authors & Affiliations

J. W. Holt1 and N. Kaiser2

  • 1Cyclotron Institute and Department of Physics and Astronomy, Texas A&M University, College Station, Texas 77843, USA
  • 2Physik Department, Technische Universität München, D-85747 Garching, Germany

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Issue

Vol. 95, Iss. 3 — March 2017

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