Finite-size effects and collective vibrations in the inner crust of neutron stars

Abstract

We study the linear response of the inner crust of neutron stars within the Random Phase Approximation, employing a Skyrme-type interaction as effective interaction. We adopt the Wigner-Seitz approximation, and consider a single unit cell of the Coulomb lattice which constitutes the inner crust, with a nucleus at its center, surrounded by a sea of free neutrons. With the use of an appropriate operator, it is possible to analyze in detail the properties of the vibrations of the surface of the nucleus and their interaction with the modes of the sea of free neutrons, and to investigate the role of shell effects and of resonant states.

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Cited by in corpus (8)

• Superfluidity in nuclear systems and neutron stars
• Linear response of homogeneous nuclear matter with energy density functionals
• Linear Response Theory with finite-range interactions
• Pairing properties and specific heat of the inner crust of a neutron star
• Anderson-Bogoliubov phonon in inner crust of neutron stars: Dipole excitation in spherical Wigner-Seitz cell
• Coexistence of Anderson-Bogoliubov phonon and quadrupole cluster vibration in neutron star inner crust
• Pressure and chemical potentials in the inner crust of a cold neutron star within Hartree-Fock and extended Thomas-Fermi methods
• Pairing properties of the inner crust of neutron stars at finite temperature