Fermions on deformed thick branes

TL;DR

This paper studies how fermions can be localized on deformed thick branes with internal structures, analyzing resonances and chiral properties to understand fermion behavior in higher-dimensional models.

Contribution

It demonstrates the conditions for fermion localization and resonance formation on deformed branes with internal structures, including the realization of Dirac fermions.

Findings

Resonances with both chiralities were found.

The spectra for left and right chiralities are correlated.

Dirac fermions are successfully realized on the brane.

Abstract

In this work we investigate the issue of fermion localization and resonances in $(4,1)$-deformed branes constructed with one scalar field coupled with gravity. Such models provide us branes with internal structures that turns the gravitational interaction more effective for fermions aside the brane, increasing their lifetime. The coupling between the scalar field and spinors is a necessary condition for fermions to be localized on such branes. After performing a chiral decomposition of the five-dimensional spinor we found resonances with both chiralities. The correspondence between the spectra for left and right chirality is guaranteed and Dirac fermions are realized on the brane.