Analytical solutions for fermions on a thick brane with a piecewise and smooth warp factor

TL;DR

This paper derives analytical solutions for fermion localization in Randall-Sundrum models, identifying special scalar-fermion couplings that produce discrete massive modes and resonances, advancing understanding of fermion behavior in warped extra dimensions.

Contribution

It provides new analytical solutions for fermion localization, including conditions for discrete modes and resonances, in thick brane models with warp factors.

Findings

Existence of special scalar-fermion couplings leading to localized massive modes

Analytical identification of resonance structures in certain models

Enhanced understanding of fermion behavior in warped geometries

Abstract

In this paper we study analytical solutions for fermion localization in Randall-Sundrum (RS) models. We show that there exist special couplings between scalar fields and fermions giving us discrete massive localizable modes. Besides this we obtain resonances in some models by analytical methods.