# Nuclear response at zero and finite temperature

## TL;DR

This paper advances the theoretical description of nuclear responses at zero and finite temperatures by developing a formalism based on two-time particle-hole propagators, incorporating high-order correlations and thermal effects.

## Contribution

It introduces a finite-temperature extension of the nuclear response theory using $ph\otimes phonon$ configurations, based on the equation of motion method with bare nucleon-nucleon interactions.

## Key findings

- Finite-temperature response functions for medium-mass nuclei are computed.
- The developed formalism captures high-order correlations and thermal effects.
- Numerical implementation demonstrates the applicability to nuclear multipole responses.

## Abstract

We present some recent developments on the nuclear many-body problem, such as the treatment of high-order correlations and finite temperature in the description of in-medium two-nucleon propagators. In this work we discuss two-time propagators of the particle-hole type, which describe the response of finite nuclei to external probes without nucleon transfer. The general theory is formulated in terms of the equation of motion method for these propagators with the only input from the bare nucleon-nucleon interaction. The numerical implementation was performed on the basis of the effective mason-nucleon Lagrangian in order to study the energy-dependent kernels of different complexity. The finite-temperature extension of the theory with $ph\otimes phonon$ configurations is applied to a study of the multipole response of medium-mass nuclei.