论文标题
相对论自我造的最大质量与排斥或有吸引力的$ |φ|^4 $自我交往
Maximum mass of relativistic self-gravitating Bose-Einstein condensates with repulsive or attractive $|φ|^4$ self-interaction
论文作者
论文摘要
我们得出了相对论自我磨碎的bose-Einstein凝结物的最大质量的近似分析表达，并具有排斥性或有吸引力的$ |φ|^4 $自我相互作用。这种表达在非相对论的玻色子星的一般相对论最大质量之间插值，托马斯 - 弗米极限中具有排斥性自我相互作用的玻色子恒星的一般相对论最大质量和具有吸引力的自我交互的牛顿稀释轴恒星的最大最大质量[P.H. Chavanis，物理。修订版D {\ bf 84}，043531（2011）]。我们从简单的考虑因素中获得公式的一般结构，并确定数值系数，以便在特定限制中恢复最大质量的确切渐近表达。结果，我们的公式应提供相对论玻色子星的最大质量的相关近似值，以实现自我交互参数的任何值（正和负）。我们讨论了系统以上最大质量之上的演变，并考虑将结果应用于暗物质光环和充气簇。我们还对玻色子恒星和玻色恒星冷凝液的暗物质光晕进行了简短的综述，并指出了与扩展基本颗粒模型的类比。
We derive an approximate analytical expression of the maximum mass of relativistic self-gravitating Bose-Einstein condensates with repulsive or attractive $|φ|^4$ self-interaction. This expression interpolates between the general relativistic maximum mass of noninteracting bosons stars, the general relativistic maximum mass of bosons stars with a repulsive self-interaction in the Thomas-Fermi limit, and the Newtonian maximum mass of dilute axion stars with an attractive self-interaction [P.H. Chavanis, Phys. Rev. D {\bf 84}, 043531 (2011)]. We obtain the general structure of our formula from simple considerations and determine the numerical coefficients in order to recover the exact asymptotic expressions of the maximum mass in particular limits. As a result, our formula should provide a relevant approximation of the maximum mass of relativistic boson stars for any value (positive and negative) of the self-interaction parameter. We discuss the evolution of the system above the maximum mass and consider application of our results to dark matter halos and inflaton clusters. We also make a short review of boson stars and Bose-Einstein condensate dark matter halos, and point out analogies with models of extended elementary particles.
