Light nuclei quasiparticle energy shifts in hot and dense nuclear matter

2008/10/25 by G. Röpke · 11 citations
Physics and Astronomy · #Astronomical and nuclear sciences #Nuclear physics research studies #Quantum Chromodynamics and Particle Interactions #nucl-th

paper · pdf · doi:10.1103/physrevc.79.014002

published as Phys.Rev.C79:014002,2009

arxiv created 2008/10/25 · openalex publication_date 2009/01/20 · arxiv updated 2009/12/01 · openalex created_date 2019/05/29 · openalex updated_date 2026/07/28

Abstract

Nuclei in dense matter are influenced by the medium. In the cluster mean-field approximation, an effective Schr"odinger equation for the A-particle cluster is obtained accounting for the effects of the correlated medium such as self-energy, Pauli blocking, and Bose enhancement. Similar to the single-baryon states (free neutrons and protons), the light elements (2\ensuremath\leqslantA\ensuremath\leqslant4, internal quantum state \ensuremathν) are treated as quasiparticles with energies E_A,\ensuremathν(P;T,n_n,n_p). These energies depend on the center-of-mass momentum P, as well as temperature T and the total densities n_n, n_p of neutrons and protons, respectively. No \ensuremathβ equilibrium is considered so that n_n, n_p (or the corresponding chemical potentials \ensuremathμ_n, \ensuremathμ_p) are fixed independently. For the single-nucleon quasiparticle energy shift, different approximate expressions such as Skyrme or relativistic mean-field approaches are well known. Treating the A-particle problem in appropriate approximations, results for the cluster quasiparticle shifts are given. Properties of dense nuclear matter at moderate temperatures in the subsaturation density region considered here are influenced by the composition. This in turn is determined by the cluster quasiparticle energies, in particular the formation of clusters at low densities when the temperature decreases and their dissolution due to Pauli blocking as the density increases. Our finite-temperature Green function approach covers different limiting cases: the low-density region where the model of nuclear statistical equilibrium and virial expansions can be applied and the saturation-density region where a mean-field approach is possible.

Citations

• Relativistic model for nuclear matter and atomic nuclei with momentum-dependent self-energies

Cited by

• Expected impact from weak reactions with light nuclei in corecollapse supernova simulations
• Open problems in α particle condensation
• Density determinations in heavy ion collisions
• Symmetry Energy of Dilute Warm Nuclear Matter
• Cluster-liquid transition in finite, saturated fermionic systems
• Ionization potential depression and Pauli blocking in degenerate plasmas at extreme densities
• Equation of Motion Method for strongly correlated Fermi systems and Extended RPA approaches
• Description of light clusters in relativistic nuclear models
• Dependence of weak interaction rates on the nuclear composition during stellar core collapse
• Clusterized nuclear matter in the (proto-)neutron star crust and the symmetry energy
• Probing QCD critical fluctuations from light nuclei production in relativistic heavy-ion collisions