稳定的双频率旋量模式作为暗物质候选者
Stable bi-frequency spinor modes as Dark Matter candidates
AI总结：
本文证明具有标量自相互作用的旋量系统普遍存在双频率孤立波解，并利用径向约化验证其线性稳定性，提出稳定的双频率模式可作为暗物质存储载体。
摘要：
我们证明，具有标量自相互作用的旋量系统，例如带有汤川耦合的狄拉克-克莱因-戈登系统或索勒模型，通常具有双频率孤立波解。我们发展了这类波的稳定性分析方法，并利用径向约化表明，在广泛的参数范围内，（线性）稳定性确实成立。我们证明只有双频率模式才能动态稳定，并建议稳定的双频率模式可以作为暗物质的存储载体。该方法基于我们作为副产品获得的（3+1）维索勒模型中单频率孤立波的线性稳定性结果。
英文摘要：
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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