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arXiv · 0901.3543

Fermion localization and resonances on two-field thick branes

C. A. S. Almeida·M. M. Ferreira Jr.·A. R. Gomes·R. Casana
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Abstract

We consider $(4,1)$-dimensional branes constructed with two scalar fields $ϕ$ and $χ$ coupled to a Dirac spinor field by means of a general Yukawa coupling. The equation of motion for the coefficients of the chiral decomposition of the spinor in curved spacetime leads to a Schödinger-like equation whose solutions allow to obtain the masses of the fermionic modes. The simplest Yukawa coupling $\barΨϕχΨ$ is considered for the Bloch brane model and fermion localization is studied. We found resonances for both chiralities and related their appearance to branes with internal structure.

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C. A. S. Almeida, M. M. Ferreira Jr., A. R. Gomes, R. Casana. 2009-07-05. Fermion localization and resonances on two-field thick branes. https://doi.org/10.1103/physrevd.79.125022

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