Self-bound dense objects in holographic QCD

TL;DR

This paper models self-bound dense objects in holographic QCD using the hard wall model, analytically solving PDEs to explore density and chiral condensate profiles, and relating them to nuclear structures.

Contribution

It provides an analytical approach to describe spherically symmetric dense objects and nucleon density profiles within holographic QCD, incorporating the effects of confinement scale changes.

Findings

Density profiles resemble those of nuclei

Confinement scale varies from nucleon to nucleus

Analytical solutions for PDEs in the hard wall model

Abstract

We study a self-bound dense object in the hard wall model. We consider a spherically symmetric dense object which is characterized by its radial density distribution and non-uniform but spherically symmetric chiral condensate. For this we analytically solve the partial differential equations in the hard wall model and read off the radial coordinate dependence of the density and chiral condensate according to the AdS/CFT correspondence. We then attempt to describe nucleon density profiles of a few nuclei within our framework and observe that the confinement scale changes from a free nucleon to a nucleus. We briefly discuss how to include the effect of higher dimensional operator into our study. We finally comment on possible extensions of our work.