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Title: 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.

Authors:
;  [1]
  1. Department of Physics, University of Illinois at Urbana-Champaign, 1110 W. Green Street, Urbana, Illinois 61801 (United States)
Publication Date:
OSTI Identifier:
20995169
Resource Type:
Journal Article
Resource Relation:
Journal Name: Physical Review. C, Nuclear Physics; Journal Volume: 75; Journal Issue: 3; Other Information: DOI: 10.1103/PhysRevC.75.035802; (c) 2007 The American Physical Society; Country of input: International Atomic Energy Agency (IAEA)
Country of Publication:
United States
Language:
English
Subject:
73 NUCLEAR PHYSICS AND RADIATION PHYSICS; FREE ENERGY; GROUND STATES; HAMILTONIANS; HEAVY ION REACTIONS; LUMINOSITY; MATRIX ELEMENTS; NEUTRINOS; NEUTRON STARS; NUCLEAR FORCES; NUCLEAR MATTER; NUCLEONS; OPACITY; STATISTICAL MODELS; VARIATIONAL METHODS

Citation Formats

Mukherjee, Abhishek, and Pandharipande, V. R.. Variational theory of hot nucleon matter. United States: N. p., 2007. Web. doi:10.1103/PHYSREVC.75.035802.
Mukherjee, Abhishek, & Pandharipande, V. R.. Variational theory of hot nucleon matter. United States. doi:10.1103/PHYSREVC.75.035802.
Mukherjee, Abhishek, and Pandharipande, V. R.. Thu . "Variational theory of hot nucleon matter". United States. doi:10.1103/PHYSREVC.75.035802.
@article{osti_20995169,
title = {Variational theory of hot nucleon matter},
author = {Mukherjee, Abhishek and Pandharipande, V. R.},
abstractNote = {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.},
doi = {10.1103/PHYSREVC.75.035802},
journal = {Physical Review. C, Nuclear Physics},
number = 3,
volume = 75,
place = {United States},
year = {Thu Mar 15 00:00:00 EDT 2007},
month = {Thu Mar 15 00:00:00 EDT 2007}
}