# Linear response theory in asymmetric nuclear matter for Skyrme functionals including spin-orbit and tensor terms II: Charge Exchange

## TL;DR

This paper develops a formalism for linear response theory in asymmetric nuclear matter using Skyrme functionals with spin-orbit and tensor terms, focusing on charge exchange excitations at various conditions.

## Contribution

It introduces a comprehensive formalism for charge exchange response functions in asymmetric nuclear matter with advanced Skyrme functionals, including spin-orbit and tensor effects.

## Key findings

- Analysis of spin strength functions at different densities and temperatures
- Response functions derived from algebraic equations for various conditions
- Insights into isospin-flip excitations in asymmetric nuclear matter

## Abstract

We present the formalism of linear response theory both at zero and finite temperature in the case of asymmetric nuclear matter excited by an isospin flip probe. The particle-hole interaction is derived from a general Skyrme functional that includes spin-orbit and tensor terms. Response functions are obtained by solving a closed algebraic system of equations. Spin strength functions are analyzed for typical values of density, momentum transfer, asymmetry and temperature.