Evolution of Fermion Resonance in Thick Brane
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arXiv
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| Main Authors: | , , , |
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| Format: | Preprint |
| Published: |
2023
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| _version_ | 1866909567594528768 |
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| author | Zhu, Chun-Chun Tan, Qin Zhang, Yu-Peng Liu, Yu-Xiao |
| author_facet | Zhu, Chun-Chun Tan, Qin Zhang, Yu-Peng Liu, Yu-Xiao |
| contents | 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 Schrödinger-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. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2304_04479 |
| institution | arXiv |
| publishDate | 2023 |
| record_format | arxiv |
| spellingShingle | Evolution of Fermion Resonance in Thick Brane Zhu, Chun-Chun Tan, Qin Zhang, Yu-Peng Liu, Yu-Xiao High Energy Physics - Theory 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 Schrödinger-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. |
| title | Evolution of Fermion Resonance in Thick Brane |
| topic | High Energy Physics - Theory |
| url | https://arxiv.org/abs/2304.04479 |