Eur. Phys. J. C (2011) 71: 1790
https://doi.org/10.1140/epjc/s10052-011-1790-3

Regular Article - Theoretical Physics

Fermions on deformed thick branes

¹ Instituto Federal de Educação, Ciência e Tecnologia do Ceará (IFCE), Campus Juazeiro do Norte, 63040-000, Juazeiro do Norte, Ceará, Brazil
² Instituto Federal do Maranhão, Campus Monte Castelo, São Luís, Maranhão, Brazil
³ Departamento de Física, Universidade Federal do Ceará, C.P. 6030, 60455-760, Fortaleza, Ceará, Brazil

^* e-mail: carlos@fisica.ufc.br

Received: 16 July 2011
Revised: 10 October 2011
Published online: 15 November 2011

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.