Localization of massive and massless fermion on two field brane

TL;DR

This paper investigates how fermions, both massive and massless, can be localized on a multi-wall brane in a braneworld model, analyzing resonance spectra and the effects of Yukawa coupling.

Contribution

It introduces a polynomial superpotential for constructing multi-wall branes and explores fermion localization and resonance behavior in this setup.

Findings

Resonance spectrum increases with higher Yukawa coupling values.

Multi-wall branes simplify the field equations for fermion localization.

Both massive and massless fermions can be localized on the brane.

Abstract

In this paper we study fermion localization and resonances on a special type of braneworld model supporting brane splitting. In such models one can construct multi-wall branes which cause considerable simplification in field equations. We use a polynomial superpotential to construct this brane. The suitable Yukawa coupling between the background scalar field and localized fermion is determined. The massive fermion resonance spectrum is obtained. The number of resonances is increased for higher values of Yukawa coupling.