Stable bi-frequency spinor modes as Dark Matter candidates

• URL: http://arxiv.org/abs/2501.04027v2
• Date: Mon, 24 Feb 2025 03:56:26 GMT
• Title: Stable bi-frequency spinor modes as Dark Matter candidates
• Authors: Andrew Comech, Niranjana Kulkarni, Nabile Boussaïd, Jesús Cuevas-Maraver,
• Abstract summary: We show that spinor systems with scalar self-interaction, such as the Dirac-Klein-Gordon system with Yukawa coupling, generically have bi-frequency solitary wave solutions.<n>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.
• Score: 0.0
• License: http://creativecommons.org/licenses/by/4.0/
• Abstract: 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.

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