Fermion Resonances on Multi-field Thick Branes

Details Fermion Resonances on Multi-field Thick Branes Fermion Resonances on Multi-field Thick Branes

2009-09-12

arxiv.org/abs/0909.2312v1

JHEP0910:091,2009

Physics

High Energy Physics

High Energy Physics - Theory

30 pages, 17 figures, to appear in JHEP

Scientific paper

10.1088/1126-6708/2009/10/091

Motivated by the recent work on the fermion resonances on scalar-constructed thick branes (arXiv:0901.3543 and arXiv:0904.1785), we extend the idea to multi-scalar generated thick branes and complete previous work. The fermion localization and resonances on the three-field and two-field thick branes are investigated. With the Numerov method, our numerical results show that the resonance states also exist in the brane besides the single-field thick branes and the two-field thick branes in the former cases. This interesting phenomenon is related to the internal structure of the brane and the coupling of fermions and scalars. We find that the Kaluza-Klein chiral decomposition of massive fermion resonances is the parity-chiral decomposition. For the couplings $\eta\bar{\Psi}\phi^{k}\chi\rho\Psi$ and $\eta\bar{\Psi}\phi^{k}\chi\rho\Psi$ for three-field and two-field models with odd positive $k$, respectively, the number of the resonant states decreases with $k$. This result is opposite to the one obtained in the single-field de Sitter thick brane (arXiv:0904.1785).

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