Maximum Mass of Boson Star Formed by Self-Interacting Scalar Fields

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We make analytic derivation for maximum masses of stable boson stars formed by scalar fields with any higher order self-interactions and show that those are equivalent to numerical results. It is shown that the contribution of the higher order self-interaction terms to the maximum mass decreases as $(m/M_p)^2$ power.
14 pages, 6 figures

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