Nuclear Superfluidity and Specific Heat in the Inner Crust of Neutron Stars

Abstract

We analyse the temperature dependence of pairing correlations in the inner crust matter of neutron stars. The study is done in a finite-temperature HFB approach and by using a zero range pairing force adjusted to the pairing properties of infinite neutron matter. Within the same approach we investigate how the specific heat of the inner crust depends on temperature, matter inhomogeneity, and the assumption used for the pairing force. It is shown that in a physical relevant range of densities the pairing properties of inner crust matter depend significantly on temperature. The finite-temperature HFB calculations show also that the specific heat is rather sensitive to the presence of nuclear clusters inside the inner crust. However, the most dramatic change of the specific heat is determined by the scenario used for the neutron matter superfluidity.

5 pages, 5 figures

References in corpus (3)

• Renormalization group approach to neutron matter: quasiparticle interactions, superfluid gaps and the equation of state
• Superfluid Properties of the Inner Crust of Neutron Stars
• Screening Effects on ${}^1{S}_0$ Pairing in Neutron Matter

Cited by in corpus (35)

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• Superfluidity in nuclear systems and neutron stars
• Unified treatment of sub-saturation stellar matter at zero and finite temperature
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• On the validity of the Wigner-Seitz approximation in neutron star crust
• Effective mass of free neutrons in neutron star crust
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• Pairing in exotic neutron rich nuclei around the drip line and in the crust of neutron stars
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• Pairing interactions and the vanishing pairing correlations in hot nuclei
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• Nuclear Superfluidity and Cooling Time of Neutron-Star Crust
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• Suppression, persistence and reentrance of superfluidity in overflowing nuclear systems
• Effect of temperature on the effective mass and the neutron skin of nuclei
• Collective excitations in the neutron star inner crust
• Systematic analysis of inner crust composition using the extended Thomas-Fermi approximation with pairing correlations
• Temperature dependence of the volume and surface contributions to the nuclear symmetry energy within the coherent density fluctuation model
• Wigner-Seitz cells in neutron star crust with finite range interactions
• Nuclei embedded in an electron gas
• Finite-size effects and collective vibrations in the inner crust of neutron stars
• Nonextensive thermal sources of cosmic rays?
• Finite temperature pairing re-entrance in drip-line ${}^{48}$Ni nucleus
• Heat capacity of low density neutron matter: from quantum to classical regimes
• Anderson-Bogoliubov phonon in inner crust of neutron stars: Dipole excitation in spherical Wigner-Seitz cell
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• Effects of Finite Temperature and Pairing Correlations in Multi-$\Lambda$ Hypernuclei
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• In-medium nucleon-nucleon cross sections from relativistic ab initio calculations
• Phase transitions in the inner crust of neutron stars within the superfluid band theory: Competition between ${}^1{\text{S}}_0$ pairing and spin polarization under finite temperature and magnetic field