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

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 3H and 3He as well as the beta-decay lifetime of 3H. 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.

9 pages, 6 figures. Accepted for publication in Physical Review C

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• Density-dependent effective baryon-baryon interaction from chiral three-baryon forces
• Constraints on Nuclear Saturation Properties from Terrestrial Experiments and Astrophysical Observations of Neutron Stars
• Relativistic Effects and Three-Nucleon Forces in Nuclear Matter and Nuclei
• Local position-space two-nucleon potentials from leading to fourth order of chiral effective field theory
• Saturation of nuclear matter in the relativistic Brueckner Hatree-Fock approach with a leading order covariant chiral nuclear force
• The relevance of pion-exchange contributions versus contact terms in the chiral effective field theory description of nucleon-nucleon scattering
• Effect of nucleon effective mass and symmetry energy on the neutrino mean free path in a neutron star
• A Bayesian mixture model approach to quantifying the empirical nuclear saturation point
• Hot and Dense Matter Equation of State Probability Distributions for Astrophysical Simulations
• Constraining the nonanalytic terms in the isospin-asymmetry expansion of the nuclear equation of state
• Reconciling light nuclei and nuclear matter: relativistic $abinitio$ calculations
• Isoscalar Giant Monopole Resonance in Spherical Nuclei as a Nuclear Matter Incompressibility Indicator
• Estimates and power counting in uniform matter with softened interactions
• Isospin-Asymmetry Dependence of the Thermodynamic Nuclear Equation of State in Many-Body Perturbation Theory
• Properties of hyperons in nuclear matter from chiral hyperon-nucleon interactions at next-to-next-to-leading order
• Isospin breaking from diquark clustering
• An overview of symmetric nuclear matter properties from chiral interactions up to fourth order of the chiral expansion