Nuclear response for the Skyrme effective interaction with zero-range tensor terms. III. Neutron matter and neutrino propagation

Abstract

The formalism of the linear response for the Skyrme energy density functional including tensor terms derived in articles [1,2] for nuclear matter is applied here to the case of pure neutron matter. As in article [2] we present analytical results for the response function in all channels, the Landau parameters and the odd-power sum rules. Special emphasis is given to the inverse energy weighted sum rule because it can be used to detect non physical instabilities. Typical examples are discussed and numerical results shown. Moreover, as a direct application, neutrino propagation in neutron matter is investigated through its neutrino mean free path at zero temperature. This quantity turns out to be very sensitive to the tensor terms of the Skyrme energy density functional.

References in corpus (7)

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• Spin Polarized Asymmetric Nuclear Matter and Neutron Star Matter Within the Lowest Order Constrained Variational Method
• Nuclear response for the Skyrme effective interaction with zero range tensor terms
• Chiral effective field theory calculations of neutrino processes in dense matter
• Spin polarized neutron matter within the Dirac-Brueckner-Hartree-Fock approach
• Unified approach to structure factors and neutrino processes in nucleon matter
• Ferromagnetic instabilities in neutron matter at finite temperature with the Gogny interaction

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• Fitting Skyrme functionals using linear response theory
• Collective Modes in a Superfluid Neutron Gas within the Quasiparticle Random-Phase Approximation
• Effect of three-body forces on response functions in infinite neutron matter
• Linear response theory in asymmetric nuclear matter for Skyrme functionals including spin-orbit and tensor terms
• Spin instabilities of infinite nuclear matter and effective tensor interactions
• Spin-isospin Response in Finite Nuclei from an Extended Skyrme Interaction
• Tools for incorporating a D-wave contribution in Skyrme energy density functionals
• Superfluid properties of the inner crust of neutron stars. II. Wigner-Seitz cells at finite temperature
• Static response, collective frequencies and ground state thermodynamical properties of spin saturated two-component cold atoms and neutron matter
• Nuclear matter response function with a central plus tensor Landau interaction
• Nuclear response functions with finite range Gogny force: tensor terms and instabilities
• Collective Modes in the Superfluid Inner Crust of Neutron Stars
• Linear response theory in asymmetric nuclear matter for Skyrme functionals including spin-orbit and tensor terms II: Charge Exchange
• Perturbed nuclear matter studied within Density Functional Theory with a finite number of particles
• New Skyrme parametrizations to describe finite nuclei and neutron star matter with realistic effective masses. II. Adjusting the spin-dependent terms