Conventional and Unconventional Pairing and Condensates in Dilute Nuclear Matter

Abstract

This contribution will survey recent progress toward an understanding of diverse pairing phenomena in dilute nuclear matter at small and moderate isospin asymmetry, with results of potential relevance to supernova envelopes and proto-neutron stars. Application of {\it ab initio} many-body techniques has revealed a rich array of temperature-density phase diagrams, indexed by isospin asymmetry, which feature both conventional and unconventional superfluid phases. At low density there exist a homogeneous translationally invariant BCS phase, a homogeneous LOFF phase violating translational invariance, and an inhomogeneous translationally invariant phase-separated BCS phase. The transition from the BCS to the BEC phases is characterized in terms of the evolution, from weak to strong coupling, of the pairing gap, condensate wave function, and quasiparticle occupation numbers and spectra. Additionally, a schematic formal analysis of pairing in neutron matter at low to moderate densities is presented that establishes conditions for the emergence of both conventional and unconventional pairing solutions and encompasses the possibility of dineutron formation.

v2: minor changes, 19 pages, 10 figures. Contribution presented by J. W. Clark at XVIII International Conference on Recent Progress in Many-Body Theories, August 16-21, 2015, Niagara Falls, NY USA

References in corpus (4)

• Light nuclei in supernova envelopes: a quasiparticle gas model
• BCS-BEC crossovers and unconventional phases in dilute nuclear matter
• Phase diagram of dilute nuclear matter: Unconventional pairing and the BCS-BEC crossover
• BCS-BEC Crossover and Thermodynamics in Asymmetric Nuclear Matter with Pairings in Isospin I=0 and I=1 Channels

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• Proton fraction in neutron star matter: Dynamical mean-field approach
• Toward electrodynamics of unconventional phases of dilute nuclear matter