We investigate the effect of self-interactions on the shape and oscillations of the solitonic core profile of condensed fuzzy dark matter systems without the backdrop of a halo, revealing universal features in terms of an appropriately scaled interaction strength characterizing the crossover between the weakly and strongly interacting regimes. Our semianalytical results are further confirmed by spherically symmetric simulations of the Gross-Pitaevskii-Poisson equations. Inverting our obtained relations, we highlight a degeneracy that could significantly affect constraints on the boson mass in the presence of repulsive boson self-interactions and propose the simultaneous extraction of static and dynamical solitonic features as a way to uniquely constrain both the boson mass and self-interactions.

中文翻译：

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自相互作用模糊暗物质孤子的维氏化轮廓和振荡

我们研究了自相互作用对没有光晕背景的凝聚模糊暗物质系统的孤子核心轮廓的形状和振荡的影响，揭示了适当缩放的相互作用强度方面的普遍特征，表征了弱和强之间的交叉相互作用的制度。我们的半解析结果通过 Gross-Pitaevskii-Poisson 方程的球对称模拟得到进一步证实。反转我们获得的关系，我们强调了在存在排斥玻色子自相互作用的情况下可能显着影响对玻色子质量的约束的简并性，并提出同时提取静态和动态孤子特征作为唯一约束玻色子质量和自相互作用的方法-互动。