费米子孤子星
Fermion soliton stars
AI总结：
本文通过汤川耦合的实标量场与费米子相互作用，在广义相对论中无近似地发现了静态球对称的费米子孤子星解，并系统研究了其质量-半径关系及最大致密度，指出其可能具有天体物理意义。
摘要：
通过汤川耦合与费米子耦合的实标量场可以规避阻止孤子解存在的无定理。我们首次在广义相对论框架下无近似地研究该模型，发现了描述费米子孤子星的静态球对称解。汤川耦合为费米子提供了有效质量，这是自引力相对论解存在的关键。我们系统地研究了这一新解族，并给出了它们的质量-半径图和最大致密度，其最大致密度接近（但小于）相应的史瓦西光子球。最后，我们讨论了基础理论参数范围，在这些范围内该理论可能具有有趣的天体物理意义，包括对于标准简并中子气体和电子气体分别产生的致密（亚）太阳质量和超大质量费米子孤子星。
英文摘要：
A real scalar field coupled to a fermion via a Yukawa term can evade no-go theorems preventing solitonic solutions. For the first time, we study this model within General Relativity without approximations, finding static and spherically symmetric solutions that describe fermion soliton stars. The Yukawa coupling provides an effective mass for the fermion, which is key to the existence of self-gravitating relativistic solutions. We systematically study this novel family of solutions and present their mass-radius diagram and maximum compactness, which is close to (but smaller than) that of the corresponding Schwarzschild photon sphere. Finally, we discuss the ranges of the parameters of the fundamental theory in which the latter might have interesting astrophysical implications, including compact (sub)solar and supermassive fermion soliton stars for a standard gas of degenerate neutrons and electrons, respectively.
机构、总结、中文摘要均由AI分析而来，可能存在错误，请以论文正文为准。
