Feshbach Resonances and Limiting Thermodynamics of Strongly Correlated Nucleons

TL;DR

This paper develops a finite temperature model for strongly correlated nucleons, exploring how Feshbach resonances and bound states influence the thermodynamics of proton-neutron systems, especially near the universal or unitary limit.

Contribution

It introduces a new finite temperature model incorporating isospin symmetries to analyze the effects of Feshbach resonances on nuclear thermodynamics.

Findings

Identification of a universal thermodynamic limit in strongly correlated nucleons.

Effective range emerges as a key scale in the unitary limit.

Analysis of how bound states affect the equation of state.

Abstract

A finite temperature model of strongly correlated nucleons with underlying isospin symmetries is developed. The model can be used to study the role of bound states and Feshbach resonances on the thermal properties of a spin 1/2, isospin 1/2 system of protons and neutrons by varying the proton fraction. An analysis of features associated with a universal thermodynamic limit or unitary limit is given. In the limit of very large scattering length, the effective range to quantum thermal wavelength appears as a limiting scale in an interaction energy and equation of state.