Fermion Localization and Degenerate Resonances on Brane Array
Abstract
In this work, we consider the multi-wall braneworld arisen from multi-scalar fields, and investigate the localization and resonances of spin-1/2 fermion on the multi-walls. We build two analytic multi-wall solutions with a polynomial superpotential and a modified sine-Gordon superpotential respectively. The massless fermion is the only bound state and localized between the two outermost sub-branes. The factors affecting the number of massive resonant fermions are analyzed. What interesting is that all the fermion resonant states are non-degenerate for the cases of single- and two-walls, however, doubly-degenerate fermion resonant states emerge for the cases of three- and four-walls. This novel phenomenon could be potentially interesting in phenomenology.
Cite
@article{arxiv.1901.11253,
title = {Fermion Localization and Degenerate Resonances on Brane Array},
author = {Qun-Ying Xie and Zhen-Hua Zhao and Jie Yang and Ke Yang},
journal= {arXiv preprint arXiv:1901.11253},
year = {2020}
}
Comments
21 pages, 45 figures, added the lifetime estimation of resonances, version accepted to CQG