Monte Carlo simulation of the nuclear medium: Fermi gases, nuclei and the role of Pauli potentials

TL;DR

This paper introduces a new Pauli potential for semiclassical Fermi gas simulations that better reproduces key physical properties and effectively models correlations in finite nuclei.

Contribution

A novel Pauli potential is proposed that improves the simulation of Fermi gases and nuclei by accurately reproducing kinetic energy, momentum distribution, and correlation functions.

Findings

The new Pauli potential matches kinetic energy and momentum distribution well.

It effectively reproduces two-body correlation functions.

It enables modeling of finite nuclei with realistic binding energies.

Abstract

The role of Pauli potentials in the semiclassical simulation of Fermi gases at low temperatures is investigated. An alternative Pauli potential to the usual bivariate Gaussian form by Dorso et al. is proposed. This new Pauli potential allows for a simultaneous good reproduction of not only the kinetic energy per particle but also the momentum distribution and the two-body correlation function. The reproduction of the binding energies in finite nuclei in the low and medium mass range is also analyzed. What is found is that given a reasonable short-range atractive nuclear interaction one can include correlation effects in a suitable chosen density dependent Pauli potential.