Fermion Resonances on a Thick Brane with a Piecewise Warp Factor

Abstract

In this paper, we mainly investigate the problems of resonances of massive KK fermions on a single scalar constructed thick brane with a piecewise warp factor matching smoothly. The distance between two boundaries and the other parameters are determined by one free parameter through three junction conditions. For the generalized Yukawa coupling $η\barΨϕ^{k}Ψ$ with odd $k=1,3,5,...$, the mass eigenvalue $m$, width $Γ$, lifetime $τ$, and maximal probability $P_{max}$ of fermion resonances are obtained. Our numerical calculations show that the brane without internal structure also favors the appearance of resonant states for both left- and right-handed fermions. The scalar-fermion coupling and the thickness of the brane influence the resonant behaviors of the massive KK fermions.

V3: 15 pages, 7 figures, published version