A Stochastic Mean-Field Approach For Nuclear Dynamics

TL;DR

This paper introduces a stochastic mean-field model for nuclear dynamics that captures fluctuations and dissipation, aligning with quantum fluctuation-dissipation principles, and improves upon traditional mean-field approaches.

Contribution

It presents a novel microscopic stochastic framework that extends mean-field theory to include fluctuations and dissipation in nuclear dynamics.

Findings

The model reproduces dispersion of one-body observables consistent with variational methods.

Derives a generalized Langevin equation for collective variables.

Incorporates one-body dissipation and fluctuation mechanisms.

Abstract

We propose a microscopic stochastic approach to improve description of nuclear dynamics beyond the mean-field approximation at low energies. It is shown that, for small amplitude fluctuations, the proposed model gives a result for the dispersion of a one-body observable that is identical to the result obtained previously through a variational approach. Furthermore, by projecting the proposed stochastic mean-field evolution on a collective path, a generalized Langevin equation is derived for collective variable, which incorporate one-body dissipation and one-body fluctuation mechanism in accordance with quantal fluctuation-dissipation relation.