skip to main content
OSTI.GOV title logo U.S. Department of Energy
Office of Scientific and Technical Information

Title: Equation of State of Symmetric and Asymmetric Nuclear Matter

Abstract

The equation of state (EoS) of nuclear matter (NM) is an important ingredient for studies of physical phenomena in nuclear physics and astrophysics. Accurate determination of the NM incompressibility coefficient, K, which is directly related to the curvature of the EoS, allows us to better determine the EoS near saturation. We present the current status of determining the value of K from experimental data on compression modes in nuclei.

Authors:
;  [1]
  1. Cyclotron Institute, Texas A and M University, College Station, TX 77843 (United States)
Publication Date:
OSTI Identifier:
21054838
Resource Type:
Journal Article
Resource Relation:
Journal Name: AIP Conference Proceedings; Journal Volume: 884; Journal Issue: 1; Conference: 6. Latin American symposium on nuclear physics and applications, Iguazu (Argentina), 3-7 Oct 2005; Other Information: DOI: 10.1063/1.2710602; (c) 2007 American Institute of Physics; Country of input: International Atomic Energy Agency (IAEA)
Country of Publication:
United States
Language:
English
Subject:
73 NUCLEAR PHYSICS AND RADIATION PHYSICS; ASTROPHYSICS; ASYMMETRY; COMPRESSION; EQUATIONS OF STATE; NUCLEAR MATTER; NUCLEI

Citation Formats

Shlomo, Shalom, and Sil, Tapas. Equation of State of Symmetric and Asymmetric Nuclear Matter. United States: N. p., 2007. Web. doi:10.1063/1.2710602.
Shlomo, Shalom, & Sil, Tapas. Equation of State of Symmetric and Asymmetric Nuclear Matter. United States. doi:10.1063/1.2710602.
Shlomo, Shalom, and Sil, Tapas. Mon . "Equation of State of Symmetric and Asymmetric Nuclear Matter". United States. doi:10.1063/1.2710602.
@article{osti_21054838,
title = {Equation of State of Symmetric and Asymmetric Nuclear Matter},
author = {Shlomo, Shalom and Sil, Tapas},
abstractNote = {The equation of state (EoS) of nuclear matter (NM) is an important ingredient for studies of physical phenomena in nuclear physics and astrophysics. Accurate determination of the NM incompressibility coefficient, K, which is directly related to the curvature of the EoS, allows us to better determine the EoS near saturation. We present the current status of determining the value of K from experimental data on compression modes in nuclei.},
doi = {10.1063/1.2710602},
journal = {AIP Conference Proceedings},
number = 1,
volume = 884,
place = {United States},
year = {Mon Feb 12 00:00:00 EST 2007},
month = {Mon Feb 12 00:00:00 EST 2007}
}
  • We present microscopic calculations of light and medium mass nuclei and the equation of state of symmetric and asymmetric nuclear matter using different nucleon-nucleon interactions, including a new Argonne version that has the same spin-isospin structure as local chiral forces at next-to-next-to-leading order. The calculations are performed using auxiliary field diffusion Monte Carlo (AFDMC) combined with an improved variational wave function and sampling technique. The AFDMC method can now be used to successfully calculate the energies of very light to medium mass nuclei as well as the energy of isospin-asymmetric nuclear matter, demonstrating microscopically the quadratic dependence of the energymore » on the symmetry energy.« less
  • Cited by 16
  • Relativistic Dirac-Brueckner calculations, based on a one-boson-exchange interaction, are presented for the equation of state of asymmetric nuclear matter. For decreasing values of the ratio Z/A it is shown that the saturation shifts to lower densities and the compression modulus at saturation drops. however, at high densities for all values of Z/A a stiff equation of state is observed, in contrast to the outcome of supernova calculations. The possibility of the occurrence of a ..pi../sup -/ condensate is discussed.
  • The ratio of pre-equilibrium neutrons to protons from collisions of neutron-rich nuclei is studied as a function of their kinetic energies. This ratio is found to be sensitive to the density dependence of the nuclear symmetry energy, but is independent of the compressibility of symmetric nuclear matter and the in-medium nucleon-nucleon cross sections. The experimental measurement of this ratio thus provides a novel means for determining the nuclear equation of state of asymmetric nuclear matter. {copyright} {ital 1997} {ital The American Physical Society}
  • Systematic calculations of asymmetric nuclear matter have been performed in the framework of the Brueckner-Bethe-Goldstone approach in a wide range of both density and asymmetry parameter. The empirical parabolic law fulfilled by the binding energy per nucleon is confirmed by the present results in all the range of the asymmetry parameter values. The predominant role of the {sup 3}{ital S}{sub 1-}{sup 3}{ital D}{sub 1} component of the {ital NN} interaction is elucidated. A linear variation of the proton and neutron single-particle potentials is found as increasing the neutron excess; a deviation from the phenomenological potentials occurs for highly asymmetric mattermore » as an effect of the self-consistency. The present calculations of the incompressibility predict a strong softening of the equation of state going from symmetric to asymmetric nuclear matter. The proton fraction in equilibrium with neutron matter has been determined from the beta-stability condition and its relevance to the superfluidity of neutron stars has been investigated.« less