发表机构
RUDN University（俄罗斯人民友谊大学）
机构由 AI 辅助整理，请以论文原文为准。AI 中文总结
本文研究非最小爱因斯坦-杨-米尔斯黑洞周围标量云的寿命，发现非最小耦合和规范电荷对寿命的影响并非单调，存在反转和交叉现象，且不普遍延长云存活时间。
AI 中文摘要
我们计算了渐近平坦的非最小爱因斯坦-杨-米尔斯黑洞周围的中性规范单态标量以及带电标量二重态和三重态的准束缚态。对于中性单极子，主要结果是寿命对非最小耦合响应的反转：弱束缚云比在相应的赖斯纳-诺德斯特伦几何中衰减得更慢，而增加场质量则将抑制吸收转变为增强吸收。弱束缚行为趋近于视界面积定律，但该定律本身并不能确定有限质量排序。在代表性耦合下，偶极和四极宽度反而显著减小，而它们的能级能量变化很小。双侧积分和独立的任意精度连分数检查同时验证了实频率和更小的虚部。我们恢复了史瓦西和赖斯纳-诺德斯特伦极限，测试了类氢束缚和低频吸收标度，并区分了势阱的消失与准束缚极点的消失。精确的视界域分析确定了黑洞参数范围，正势论证排除了典型测试标量的指数增长模式。磁性的吴-杨联络将带电多重态量子化为量子化的单极子扇区，而没有电频率偏移。它们的最低通道在采样的束缚区域内表现出十二个定位的寿命交叉点以及非整数弱束缚衰减幂。在固定总角动量的三重态内，带电态反而可能比中性态衰减快数百倍。这些比较表明，规范电荷和非最小耦合都不能普遍延长云的存活时间。
英文摘要
We calculate quasi-bound states of neutral gauge-singlet scalars and charged scalar doublets and triplets around the asymptotically flat, nonminimal Einstein--Yang--Mills black hole. For neutral monopoles, the principal result is a reversal in the lifetime response to the nonminimal coupling: weakly bound clouds decay more slowly than on the corresponding Reissner--Nordström geometry, whereas increasing the field mass changes suppression into enhancement of absorption. The weak-binding behavior approaches a horizon-area law, but that law alone does not determine the finite-mass ordering. At representative couplings, dipole and quadrupole widths instead decrease substantially while their level energies change very little. Two-sided integration and an independent arbitrary-precision continued fraction check both the real frequencies and the much smaller imaginary parts. We recover the Schwarzschild and Reissner--Nordström limits, test hydrogenic binding and the low-frequency absorption scaling, and distinguish the loss of a potential well from the disappearance of a quasi-bound pole. An exact horizon-domain analysis fixes the black-hole parameter range, and a positive-potential argument excludes exponentially growing modes of the canonical test scalars. The magnetic Wu--Yang connection separates the charged multiplets into quantized monopole sectors, without an electric frequency shift. Their lowest channels exhibit twelve located lifetime crossings within the sampled trapping region and noninteger weak-binding decay powers. At fixed total angular momentum within the triplet, charged states can instead decay hundreds of times faster than neutral states. These comparisons show that neither gauge charge nor nonminimal coupling universally prolongs cloud survival.
Comments21 pages, 7 figures
