Fermion localization and degenerate resonances on brane array

Abstract

In this work, we consider the multi-wall braneworld arisen from multiscalar 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.

Thick branes with inner structure in mimetic f(R) gravity

“…Besides, Figs. 15 and 17 show that the masses of some KK resonances are very close, which is similar to the result in [29], where the doubly degenerate phenomenon happens. Comparing the effective potential with that in Ref.…”

“…Comparing the effective potential with that in Ref. [29], we can see that they both have substructure, and this sub-structure is the main reason of this phenomenon.…”

“…21b, 23b, and 25b we find that the mass squarem 2 of the first odd parity KK resonance and the first even parity KK resonance are very close. One could also regard this as doubly degenerate [29].…”

“…In the thick brane world scenario, the brane is usually generated by a canonical scalar field [19][20][21][22][23][24]. Furthermore, various kinds of thick branes generated by multi-scalar fields were also investigated widely [25][26][27][28][29]. For more details of thick brane worlds and extra dimensions, see the review papers [30][31][32].…”

Gravitational resonances on f(T)-branes

“…In this paper, we are interested in thick brane models. In most of these models, branes are generated dynamically by one or more background scalar fields [30][31][32][33][34][35]. Various matter fields and gravity in the higher-dimensional spacetime should have the ability to explain the physics in the four-dimensional spacetime.…”