Variational Theory of Hot Nucleon Matter

Abstract

We develop a variational theory of hot nuclear matter in neutron stars and supernovae. It can also be used to study charged, hot nuclear matter which may be produced in heavy-ion collisions. This theory is a generalization of the variational theory of cold nuclear and neutron star matter based on realistic models of nuclear forces and pair correlation operators. The present approach uses microcanonical ensembles and the variational principle obeyed by the free energy. In this paper we show that the correlated states of the microcanonical ensemble at a given temperature $T$ and density $\rho$ can be orthonormalized preserving their diagonal matrix elements of the Hamiltonian. This allows for the minimization of the free energy without corrections from the nonorthogonality of the correlated basis states, similar to that of the ground state energy. Samples of the microcanonical ensemble can be used to study the response, and the neutrino luminosities and opacities of hot matter. We present methods to orthonormalize the correlated states that contribute to the response of hot matter.

References in corpus (4)

• The equation of state for nucleon matter and neutron star structure
• Spin-Isospin Structure and Pion Condensation in Nucleon Matter
• Quantum Monte Carlo Calculations of Neutron Matter
• Neutron matter at zero temperature with auxiliary field diffusion Monte Carlo

Cited by in corpus (22)

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• Liquid-gas phase transition in nuclear matter from realistic many-body approaches
• Variational Theory of Hot Nucleon Matter II : Spin-Isospin Correlations and Equation of State of Nuclear and Neutron Matter
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• Probing the Nuclear Symmetry Energy with Heavy-Ion Reactions Induced by Neutron-Rich Nuclei
• Nuclear matter at high density: Phase transitions, multiquark states, and supernova outbursts
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• Structure Factors for Hot Neutron Matter from Ab Initio Lattice Simulations with High-Fidelity Chiral Interactions
• Numerical Study of Stellar Core Collapse and Neutrino Emission Using the Nuclear Equation of State Obtained by the Variational Method
• Nuclei in Core-Collapse Supernovae Engine
• Latent heat of nuclear matter
• Effects of nuclear matter and composition in core-collapse supernovae and long-term proto-neutron star cooling
• Recent progress on the accurate determination of the equation of state of neutron and nuclear matter
• Spinodal Instability at the Onset of Collective Expansion in Nuclear Collisions
• Isospin-Asymmetry Dependence of the Thermodynamic Nuclear Equation of State in Many-Body Perturbation Theory