Soap bubble hadronic states in a QCD-motivated Nambu-Jona-Lasinio model

TL;DR

This paper explores the theoretical possibility of stable 'soap bubble' hadronic states formed by fermions bound to domain walls in a QCD-inspired Nambu-Jona-Lasinio model, using an approximate Ginzburg-Landau approach.

Contribution

It introduces a novel concept of soap bubble hadronic states stabilized by fermion pressure within a Nambu-Jona-Lasinio framework.

Findings

Demonstrates fermion binding to domain walls

Shows stabilization of bubble-like structures by fermion pressure

Suggests new possible hadronic states

Abstract

Inhomogeneous solutions of the gap equation in the mean field approach to Nambu-Jona-Lasinio model are studied. An approximate Ginzburg-Landau-like gap equation is obtained and the domain wall solution is found. Binding of fermions to the domain wall is demonstrated. Compact domain wall with bound fermions is studied and stabilisation by fermion pressure is demonstrated which opens a possibility for existence of "soap bubble" hadronic states.