Constraints on nuclear matter properties from QCD susceptibilities

TL;DR

This paper links QCD scalar susceptibilities with nuclear medium responses, enabling the connection of nuclear physics phenomena to lattice QCD results on nucleon mass, thus bridging fundamental theory and nuclear interactions.

Contribution

It derives a relation between QCD scalar responses and nuclear medium responses applicable at nucleonic and nuclear levels, offering new insights into nuclear forces from QCD perspectives.

Findings

Established a relation between QCD scalar susceptibilities and nuclear responses.

Opened pathways to connect nuclear forces with lattice QCD studies.

Implications for understanding three-body forces in nuclear physics.

Abstract

We establish the interrelation between the QCD scalar response of the nuclear medium and its response to a scalar probe coupled to nucleons, such as the scalar meson responsible for the nuclear binding. The relation that we derive applies at the nucleonic as well as at the nuclear levels. Non trivial consequences follow. In particular it opens the possibility of relating medium effects in the scalar meson exchange or three-body forces of nuclear physics to QCD lattice studies of the nucleon mass