The ``Herbst Hamiltonian'' and the mass of boson stars

Physics

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Scientific paper

We present new accurate lower bounds on the ground state of the Hamiltonian √p2+m2-α/r. From these, we obtain a lower bound on the maximum mass of a boson star in the semirelativistic framework, and we compare it to a variational upper bound. We get 0.846 (Gm)-1 < Mmax < 1.439(Gm)-1, where G is Newton's constant and m the boson mass.

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