From asymmetric nuclear matter to neutron stars: a functional renormalization group study

Abstract

A previous study of nuclear matter in a chiral nucleon-meson model is extended to isospin-asymmetric matter. Fluctuations beyond mean-field approximation are treated in the framework of the functional renormalization group. The nuclear liquid-gas phase transition is investigated in detail as a function of the proton fraction in asymmetric matter. The equations of state at zero temperature of both symmetric nuclear matter and pure neutron matter are found to be in good agreement with realistic many-body computations. We also study the density dependence of the pion mass in the medium. The question of chiral symmetry restoration in neutron matter is addressed; we find a stabilization of the phase with spontaneously broken chiral symmetry once fluctuations are included. Finally, neutron star matter including beta equilibrium is discussed. The model satisfies the constraints imposed by the existence of two-solar-mass neutron stars.

12 pages, 11 figures, to appear in Phys. Rev. C, references added, figure 5 added

References in corpus (13)

• Shapiro delay measurement of a two solar mass neutron star
• A Massive Pulsar in a Compact Relativistic Binary
• Exact evolution equation for the effective potential
• The Phase Structure of the Polyakov--Quark-Meson Model
• Hyperon Puzzle: Hints from Quantum Monte Carlo Calculations
• Constraints on the Symmetry Energy Using the Mass-Radius Relation of Neutron Stars
• Experimental status of the $\pi \pi$ isoscalar S wave at low energy: $f_0(600)$ pole and scattering length
• In-medium chiral condensate beyond linear density approximation
• Non-perturbative thermal flows and resummations
• Perturbation theory and non-perturbative renormalization flow in scalar field theory at finite temperature
• Critical temperature for the nuclear liquid-gas phase transition (from multifragmentation and fission)
• Chiral condensate in neutron matter
• Functional renormalization group approach to neutron matter

Cited by in corpus (4)

• Functional renormalization group studies of nuclear and neutron matter
• Functional renormalization group study of the Quark-Meson model with $\omega$ meson
• Impact of finite density on spectroscopic parameters of decuplet baryons
• Isospin-Asymmetry Dependence of the Thermodynamic Nuclear Equation of State in Many-Body Perturbation Theory