Cluster virial expansion for nuclear matter within a quasiparticle statistical approach

Abstract

Correlations in interacting many-particle systems can lead to the formation of clusters, in particular bound states and resonances. Systematic quantum statistical approaches allow to combine the nuclear statistical equilibrium description (law of mass action) with mean-field concepts. A chemical picture, which treats the clusters as distinct entities, serves as an intuitive concept to treat the low-density limit. Within a generalized Beth-Uhlenbeck approach, the quasiparticle virial expansion is extended to include arbitrary clusters, where special attention must be paid to avoid inconsistencies such as double counting. Correlations are suppressed with increasing density due to Pauli blocking. The contribution of the continuum to the virial coefficients can be reduced by considering clusters explicitly and introducing quasiparticle energies. The cluster-virial expansion for nuclear matter joins known benchmarks at low densities with those near saturation density.

18 pages, 6 figures, 2 tables

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• Dynamics of clusters and fragments in heavy-ion collisions
• Supernova neutrinos and nucleosynthesis
• Nuclear Equation of state for Compact Stars and Supernovae
• Nuclear matter equation of state including few-nucleon correlations $(A\le 4)$
• Generalized Beth--Uhlenbeck approach to mesons and diquarks in hot, dense quark matter
• Constraining supernova equations of state with equilibrium constants from heavy-ion collisions
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• Effects of the liquid-gas phase transition and cluster formation on the symmetry energy
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• Phenomenological quark-hadron equations of state with first-order phase transitions for astrophysical applications
• The equation of state and symmetry energy of low density nuclear matter
• Densities and energies of nuclei in dilute matter
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• Medium modifications for light and heavy nuclear clusters in simulations of core collapse supernovae -- Impact on equation of state and weak interactions
• Fermi liquid, clustering, and structure factor in dilute warm nuclear matter
• Composition of nuclear matter with light clusters and Bose-Einstein condensation of $\alpha$ particles
• Structure formation during phase transitions in strongly interacting matter
• Second virial coefficients of light nuclear clusters and their chemical freeze-out in nuclear collisions
• Medium effects on freeze-out of light clusters at NICA energies
• Density of States of a Coupled-Channel System
• Scalar quanta in Fermi liquids: zero sounds, instabilities, Bose condensation, and a metastable state in dilute nuclear matter
• Towards a new quark-nuclear matter EoS for applications in astrophysics and heavy-ion collisions
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• Inhomogeneous condensates in dilute nuclear matter and BCS-BEC crossovers
• A unified quark-nuclear matter equation of state from the cluster virial expansion within the generalized Beth-Uhlenbeck approach
• Virialized equation of state for warm and dense stellar plasmas in proto-neutron stars and Supernova matter
• Isotopic equilibrium constants for very low-density and low-temperature nuclear matter
• Quantum statistical calculation of cluster abundances in hot dense matter
• Neutrino-Neutron Scattering Opacities in Supernova Matter
• Implementation of Cluster expansion for hot QCD matter
• Speed of sound of QCD matter at chiral crossover
• Composite Fermions in Medium: Extending the Lipkin Model