Effect of medium dependent binding energies on inferring the temperatures and freeze-out density of disassembling hot nuclear matter from cluster yields

Abstract

We explore the abundance of light clusters in asymmetric nuclear matter at subsaturation density. With increasing density, binding energies and wave functions are modified due to medium effects. The method of Albergo, Costa, Costanzo and Rubbino (ACCR) for determining the temperature and free nucleon density of a disassembling hot nuclear source from fragment yields is modified to include, in addition to Coulomb effects and flow, also effects of medium modifications of cluster properties, which become of importance when the nuclear matter density is above 10${}^{-3}$ fm${}^{-3}$. We show how the analysis of cluster yields, to infer temperature and nucleon densities, is modified if the shifts in binding energies of in medium clusters are included. While, at low densities, the temperature calculated from given yields changes only modestly if medium effects are taken into account, larger discrepancies are observed when the nucleon densities are determined from measured yields.

17 pages, 2 figures

References in corpus (6)

• Cluster Formation and The Virial Equation of State of Low-Density Nuclear Matter
• Relativistic model for nuclear matter and atomic nuclei with momentum-dependent self-energies
• Light nuclei quasiparticle energy shift in hot and dense nuclear matter
• Experimental determination of the symmetry energy of a low density nuclear gas
• Appearance of Light Clusters in Post-bounce Evolution of Core-Collapse Supernovae
• Low densities in asymmetric nuclear matter

Cited by in corpus (12)

• Symmetry energy of dilute warm nuclear matter
• Laboratory Tests of Low Density Astrophysical Equations of State
• Experimental Determination of In-Medium Cluster Binding Energies and Mott Points in Nuclear Matter
• The Nuclear Matter Symmetry Energy at $0.03\le \rho /{\rho }_0\le 0.2$
• Light nuclei in supernova envelopes: a quasiparticle gas model
• The equation of state and symmetry energy of low density nuclear matter
• "Tomography" of the cluster structure of light nuclei via relativistic dissociation
• Density determinations in heavy ion collisions
• Composition of nuclear matter with light clusters and Bose-Einstein condensation of $\alpha$ particles
• Clustering in nuclei at finite temperature
• Nuclear matter properties, phenomenological theory of clustering at the nuclear surface, and symmetry energy
• Clustering in relativistic dissociation of ${}^9$be, ${}^9$c, ${}^{10}$c and ${}^{12}$n nuclei