Resonances on deformed thick branes

Understand

In this work we investigate the issue of gravity and fermion localization and resonances in $(4,1)$-branes constructed with one scalar field coupled with gravity in deformed models.

• Such models give solutions for the scalar field that is the usual kink solution in the extra dimension for a parameter $p=1$ and deformations with a two-kink profile for odd $p>1$.
• Gravity is localized and resonant modes are found for small values of $p$.
• The coupling between the scalar field and spinors is a necessary condition for fermions to be localized on such branes.