The "Herbst Hamiltonian" and the mass of boson stars

Raynal, J. C. ; Roy, S. M. ; Singh, V. ; Martin, A. ; Stubbe, J. (1994) The "Herbst Hamiltonian" and the mass of boson stars Physics Letters B, 320 (1-2). pp. 105-109. ISSN 0370-2693

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Official URL: http://linkinghub.elsevier.com/retrieve/pii/037026...

Related URL: http://dx.doi.org/10.1016/0370-2693(94)90831-1

Abstract

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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