Spin response of a normal Fermi liquid with noncentral interactions

TL;DR

This paper analyzes the spin response of a normal Fermi liquid with noncentral interactions, deriving a response function that is relevant for neutrino properties in dense matter, and finds the relaxation time approximation to be reliable.

Contribution

It provides a new closed-form expression for the spin-density response function considering intermediate collision regimes in Fermi liquids.

Findings

Relaxation time approximation is reliable for neutrino property calculations.

Derived a closed expression for the spin-density response function.

Applicable to dense matter conditions relevant in astrophysics.

Abstract

We consider the spin response of a normal Fermi liquid with noncentral interactions under conditions intermediate between the collisionless and hydrodynamic regimes. This problem is of importance for calculations of neutrino properties in dense matter. By expressing the deviation of the quasiparticle distribution function from equilibrium in terms of eigenfunctions of the transport equation under the combined influence of collisions and an external field, we derive a closed expression for the spin-density--spin-density response function and compare its predictions with that of a relaxation time approximation. Our results indicate that the relaxation time approximation is reliable for neutrino properties under astrophysically relevant conditions.