Toward order-by-order calculations of the nuclear and neutron matter equations of state in chiral effective field theory

F. Sammarruca, L. Coraggio, J. W. Holt, N. Itaco, R. Machleidt, and L. E. Marcucci
Phys. Rev. C 91, 054311 – Published 12 May 2015

Abstract

We calculate the nuclear and neutron matter equations of state from microscopic nuclear forces at different orders in chiral effective field theory and with varying momentum-space cutoff scales. We focus attention on how the order-by-order convergence depends on the choice of resolution scale and the implications for theoretical uncertainty estimates on the isospin asymmetry energy. Specifically we study the equations of state using consistent NLO and N2LO (next-to-next-to-leading order) chiral potentials where the low-energy constants cD and cE associated with contact vertices in the N2LO chiral three-nucleon force are fitted to reproduce the binding energies of H3 and He3 as well as the beta-decay lifetime of H3. At these low orders in the chiral expansion there is little sign of convergence, while an exploratory study employing the N3LO two-nucleon force together with the N2LO three-nucleon force give first indications for (slow) convergence with low-cutoff potentials and poor convergence with higher-cutoff potentials. The consistent NLO and N2LO potentials described in the present work provide the basis for estimating theoretical uncertainties associated with the order-by-order convergence of nuclear many-body calculations in chiral effective field theory.

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  • Received 4 November 2014
  • Revised 8 April 2015

DOI:https://doi.org/10.1103/PhysRevC.91.054311

©2015 American Physical Society

Authors & Affiliations

F. Sammarruca1, L. Coraggio2, J. W. Holt3, N. Itaco2,4, R. Machleidt1, and L. E. Marcucci5,6

  • 1Department of Physics, University of Idaho, Moscow, Idaho 83844, USA
  • 2Istituto Nazionale di Fisica Nucleare, Complesso Universitario di Monte S. Angelo, Via Cintia, I-80126 Napoli, Italy
  • 3Department of Physics, University of Washington, Seattle, Washington 98195, USA
  • 4Dipartimento di Fisica, Università di Napoli Federico II, Complesso Universitario di Monte S. Angelo, Via Cintia, I-80126 Napoli, Italy
  • 5Dipartimento di Fisica “Enrico Fermi”, Università di Pisa, Largo Bruno Pontecorvo 3, I-56127 Pisa, Italy
  • 6Istituto Nazionale di Fisica Nucleare, Sezione di Pisa, Largo Bruno Pontecorvo 3, I-56127 Pisa, Italy

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Issue

Vol. 91, Iss. 5 — May 2015

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