Stable bi-frequency spinor modes as Dark Matter candidates
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arXiv
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| Main Authors: | , , , |
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| Format: | Preprint |
| Published: |
2024
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| _version_ | 1866917012540751872 |
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| author | Comech, Andrew Kulkarni, Niranjana Boussaïd, Nabile Cuevas-Maraver, Jesús |
| author_facet | Comech, Andrew Kulkarni, Niranjana Boussaïd, Nabile Cuevas-Maraver, Jesús |
| contents | We show that spinor systems with scalar self-interaction, such as the Dirac--Klein--Gordon system with Yukawa coupling or the Soler model, generically have bi-frequency solitary wave solutions. We develop the approach to stability properties of such waves and use the radial reduction to show that indeed the (linear) stability is available for a wide range of parameters. We show that only bi-frequency modes can be dynamically stable and suggest that stable bi-frequency modes can serve as storages of the Dark Matter. The approach is based on linear stability results of one-frequency solitary waves in (3+1)D Soler model, which we obtain as a by-product. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2501_04027 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | Stable bi-frequency spinor modes as Dark Matter candidates Comech, Andrew Kulkarni, Niranjana Boussaïd, Nabile Cuevas-Maraver, Jesús Analysis of PDEs High Energy Physics - Theory Mathematical Physics Quantum Physics 35B32, 35B35, 35C08, 35Q41, 37K40, 37N20, 65L07, 81Q05 We show that spinor systems with scalar self-interaction, such as the Dirac--Klein--Gordon system with Yukawa coupling or the Soler model, generically have bi-frequency solitary wave solutions. We develop the approach to stability properties of such waves and use the radial reduction to show that indeed the (linear) stability is available for a wide range of parameters. We show that only bi-frequency modes can be dynamically stable and suggest that stable bi-frequency modes can serve as storages of the Dark Matter. The approach is based on linear stability results of one-frequency solitary waves in (3+1)D Soler model, which we obtain as a by-product. |
| title | Stable bi-frequency spinor modes as Dark Matter candidates |
| topic | Analysis of PDEs High Energy Physics - Theory Mathematical Physics Quantum Physics 35B32, 35B35, 35C08, 35Q41, 37K40, 37N20, 65L07, 81Q05 |
| url | https://arxiv.org/abs/2501.04027 |