QCD sum rule for nucleon in nuclear matter

TL;DR

This paper develops a QCD sum rule approach to analyze how the nucleon residue in nuclear matter varies with density, using phenomenological inputs for nucleon self-energy, revealing a decrease in residue as density increases.

Contribution

It introduces a QCD sum rule framework for nucleons in nuclear matter incorporating phenomenological self-energy inputs, providing new insights into density dependence.

Findings

Nucleon residue decreases with increasing nuclear density

QCD sum rule effectively captures in-medium modifications of nucleon properties

Results align with known behavior of similar quantities in nuclear matter

Abstract

We consider the two-point function of nucleon current in nuclear matter and write a QCD sum rule to analyse the residue of the nucleon pole as a function of nuclear density. The nucleon self-energy needed for the sum rule is taken as input from calculations using phenomenological NN potential. Our result shows a decrease in the residue with increasing nuclear density, as is known to be the case with similar quantities.