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arXiv · 2304.04479

Evolution of Fermion Resonance in Thick Brane

Chun-Chun Zhu·Qin Tan·Yu-Peng Zhang·Yu-Xiao Liu
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Abstract

In this work, we investigate numerical evolution of massive Kaluza-Klein (KK) modes of a Dirac field on a thick brane. We deduce the Dirac equation in five-dimensional spacetime, and obtain the time-dependent evolution equation and Schr\"odinger-like equation of the extra-dimensional component. We use the Dirac KK resonances as the initial data and study the corresponding dynamics. By monitoring the decay law of the left- and right-chiral KK resonances, we compute the corresponding lifetimes and find that there could exist long-lived KK modes on the brane. Especially, for the lightest KK resonance with a large coupling parameter and a large three momentum, it will have an extremely long lifetime.

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Chun-Chun Zhu, Qin Tan, Yu-Peng Zhang, Yu-Xiao Liu. 2023-04-10. Evolution of Fermion Resonance in Thick Brane. https://doi.org/10.1088/1572-9494%2Fad745d

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