BCS-BEC crossover of neutron pairs in symmetric and asymmetric nuclear matter

Abstract

We propose new types of density dependent contact pairing interaction which reproduce the pairing gaps in symmetric and neutron matter obtained by a microscopic treatment based on the nucleon-nucleon interaction. These interactions are able to simulate the pairing gaps of either the bare interaction or the interaction screened by the medium polarization effects. It is shown that the medium polarization effects cannot be cast into the density power law function usually introduced together with the contact interaction and require the introduction of another isoscalar term. The BCS-BEC crossover of neutrons pairs in symmetric and symmetric nuclear matter is studied by using these contact interactions. It is shown that the bare and screened pairing interactions lead to different features of the BCS-BEC crossover in symmetric nuclear matter. For the screened pairing interaction, a two-neutron BEC state is formed in symmetric matter at $k_{Fn}\sim 0.2$ fm${}^{-1}$ (neutron density ${\rho }_n/{\rho }_0\sim 10^{-3}$). Contrary the bare interaction does not form the BEC state at any neutron density.

References in corpus (26)

• Neutron Star Cooling
• Mean-field description of ground-state properties of drip-line nuclei: Pairing and continuum effects
• Microscopic HFB+QRPA predictions of dipole strength for astrophysics applications
• Influence of Induced Interactions on the Superfluid Transition in Dilute Fermi Gases
• Cluster Formation and The Virial Equation of State of Low-Density Nuclear Matter
• Renormalization group approach to neutron matter: quasiparticle interactions, superfluid gaps and the equation of state
• Further explorations of Skyrme-Hartree-Fock-Bogoliubov mass formulas. II: Role of the effective mass
• Pairing correlations in nuclei on the neutron-drip line
• Spatial structure of neutron Cooper pair in low density uniform matter
• Screening Effects in Superfluid Nuclear and Neutron Matter within Brueckner Theory
• Coexistence of BCS and BEC-like pair structures in halo nuclei
• Effective density dependent pairing forces in the T=1 and T=0 channels
• From the Bogoliubov-de Gennes equations for superfluid fermions to the Gross-Pitaevskii equation for condensed bosons
• The physics of dense hadronic matter and compact stars
• Low densities in nuclear and neutron matters and in the nuclear surface
• Pairing in low-density Fermi gases
• Generic strong coupling behavior of Cooper pairs in the surface of superfluid nuclei
• Nuclear fragmentation: sampling the instabilities of binary systems
• ${}^1{S}_0$ superfluid phase--transition in neutron matter with realistic nuclear potentials and modern many--body theories
• Pair condensation and bound states in fermionic systems
• Pairing Matrix Elements and Pairing Gaps with Bare, Effective and Induced Interactions
• Nuclear Superfluidity and Cooling Time of Neutron-Star Crust
• Pairing in nuclear systems with effective Gogny and V_low-k interactions
• Low densities in asymmetric nuclear matter
• On the specific heat of a fermionic atomic cloud in the unitary regime
• Super-Symmetry transformation for excitation processes

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• BCS-BEC Crossover in Symmetric Nuclear Matter at Finite Temperature: Pairing Fluctuation and Pseudogap
• BEC-BCS Crossover in Neutron Matter with Renormalization Group based Effective Interactions
• BCS-BEC crossover in nuclear matter with the relativistic Hartree-Bogoliubov theory
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• Screening and anti-screening of the pairing interaction in low-density neutron matter
• Dineutron correlations in quasi two-dimensional systems in a simplified model and possible relation to neutron-rich nuclei
• A theory of finite-temperature Bose-Einstein condensates in neutron stars
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• Beyond mean-field calculation for pairing correlation
• Three-body crossover from a Cooper triple to bound trimer state in three-component Fermi gases near a triatomic resonance
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• ${}^1{S}_0$ pairing in neutron matter
• Odd-even staggering in neutron drip line nuclei
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• Nuclear superfluidity in isospin asymmetric matter within the Skyrme model
• Strongly interacting matter in extreme magnetic fields
• Pairing effects on neutron matter equation of state and symmetry energy at subsaturation densities
• Two-neutron correlations in microscopic wave functions of He-6, He-8 and C-12
• Collective excitation and stability of flow-induced gapless Fermi superfluids
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• Pairing correlations in exotic nuclei
• Effects of dilute neutron matter on the neutron star crust equation of state
• Efectos del campo magnético en un gas de bosones vectoriales neutros: aplicaciones astrofísicas
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• Enhanced moments of inertia for rotation in neutron-rich nuclei
• Models for Pairing Phenomena
• Nuclear systems under extreme conditions: isospin asymmetry and strong B-fields