论文标题
牛仔裤的牛仔布拉迪乌斯关系的自我磨碎的bose-Einstein冷凝水和暗物质粒子的典型参数
Jeans mass-radius relation of self-gravitating Bose-Einstein condensates and typical parameters of the dark matter particle
论文作者
论文摘要
我们研究了牛顿重力中Bose-Einstein凝结深色物质的牛仔裤质量 - 拉迪乌斯的关系。我们在一般层面上表明，它类似于Bose-Einstein凝结暗物质光环的质量 - 拉迪乌斯的关系[P.H. Chavanis，物理。修订版D {\ bf 84}，043531（2011）]。随着宇宙的扩展，具有排斥性自我交往的玻色子从托马斯 - 费尔米制度从托马斯 - 费尔米制度发展到非互动制度。在托马斯 - 弗米（Thomas-Fermi）状态下，牛仔裤半径保持大致恒定，而牛仔裤质量则减少。在非互动状态下，牛仔裤半径增加，而牛仔裤质量则减少。随着宇宙的扩展，具有吸引力的自我交织的玻色子从非倾向制度转变为非互动制度。在非驱车状态下，牛仔裤半径和牛仔裤的质量增加。在非互动状态下，牛仔裤半径增加，而牛仔裤质量则减少。该过渡发生在最大牛仔裤质量上，与玻色 - 因斯坦冷凝液的最大质量相似，暗物质晕圈具有吸引人的自我交流。我们使用暗物质光环的质量关系和``最低光环''的观察证据（典型的半径$ r \ sim 1 \，{\ rm kpc} $以及典型的质量$ $ m \ sim 10^8 \，m _ {\ odot} $ boss $ m $ m $ $ $ $ $ $ a___________
We study the Jeans mass-radius relation of Bose-Einstein condensate dark matter in Newtonian gravity. We show at a general level that it is similar to the mass-radius relation of Bose-Einstein condensate dark matter halos [P.H. Chavanis, Phys. Rev. D {\bf 84}, 043531 (2011)]. Bosons with a repulsive self-interaction generically evolve from the Thomas-Fermi regime to the noninteracting regime as the Universe expands. In the Thomas-Fermi regime, the Jeans radius remains approximately constant while the Jeans mass decreases. In the noninteracting regime, the Jeans radius increases while the Jeans mass decreases. Bosons with an attractive self-interaction generically evolve from the nongravitational regime to the noninteracting regime as the Universe expands. In the nongravitational regime, the Jeans radius and the Jeans mass increase. In the noninteracting regime, the Jeans radius increases while the Jeans mass decreases. The transition occurs at a maximum Jeans mass which is similar to the maximum mass of Bose-Einstein condensate dark matter halos with an attractive self-interaction. We use the mass-radius relation of dark matter halos and the observational evidence of a ``minimum halo'' (with typical radius $R\sim 1\, {\rm kpc}$ and typical mass $M\sim 10^8\, M_{\odot}$) to constrain the mass $m$ and the scattering length $a_s$ of the dark matter particle.
