BCS-BEC crossover in nuclear matter with the relativistic Hartree-Bogoliubov theory

Abstract

Based on the relativistic Hartree-Bogoliubov theory, the influence of the pairing interaction strength on the di-neutron correlations and the crossover from superfluidity of neutron Cooper pairs in the ${}^1{S}_0$ channel to Bose-Einstein condensation of di-neutron pairs is systematically investigated in the nuclear matter. The bare nucleon-nucleon interaction Bonn-B is taken in the particle-particle channel with an effective factor to simulate the medium effects and take into account the possible ambiguity of pairing force, and the effective interaction PK1 is used in the particle-hole channel. If the effective factor is larger than 1.10, a di-neutron BEC state appears in the low-density limit, and if it is smaller than 0.85, the neutron Cooper pairs are found totally in the weak coupling BCS region. The reference values of several characteristic quantities which characterize the BCS-BEC crossover are obtained respectively from the dimensionless parameter $1/(k_{\mathrm{Fn}}a)$ with $a$ the scattering length and $k_{\mathrm{Fn}}$ the neutron Fermi momentum, the zero-momentum transfer density correlation function D(0) and the effective chemical potential ${\nu }_{\mathrm{n}}$.

8 pages, 4 figures, 2 tables, Accepted Thursday Jun 14, 2012 for Physical Review C

References in corpus (7)

• Relativistic Continuum Hartree Bogoliubov Theory for Ground State Properties of Exotic Nuclei
• Observation of Bose-Einstein Condensation of Molecules
• Screening Effects in Superfluid Nuclear and Neutron Matter within Brueckner Theory
• Coexistence of BCS and BEC-like pair structures in halo nuclei
• BCS-BEC crossover of neutron pairs in symmetric and asymmetric nuclear matter
• BCS-BEC Crossover and Thermodynamics in Asymmetric Nuclear Matter with Pairings in Isospin I=0 and I=1 Channels
• Correlation functions for a di-neutron condensate in asymmetric nuclear matter

Cited by in corpus (10)

• Unified neutron star EOSs and neutron star structures in RMF models
• BCS-BEC crossovers and unconventional phases in dilute nuclear matter
• Phase diagram of dilute nuclear matter: Unconventional pairing and the BCS-BEC crossover
• Unified nuclear matter EOSs constrained by the in-medium balance in density-dependent covariant density functionals
• Quarkyonic matter and quarkyonic stars in an extended RMF model
• Dineutron correlations and BCS-BEC crossover in nuclear matter with the Gogny pairing force
• Effects of inner crusts on $g$-mode oscillations in neutron stars
• Properties and microscopic structures of dense stellar matter in RMF models
• Unified treatment for in-medium light and heavy clusters with RMF models
• Pion-mediated Cooper pairing of neutrons: beyond the bare vertex approximation