Semirelativistic stability of N-boson systems bound by 1/r pair potentials

Physics – High Energy Physics – High Energy Physics - Theory

Scientific paper

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11 pages, considerably enlarged introduction and motivation, remainder of the paper unchanged

Scientific paper

10.1088/1751-8113/41/35/355202

We analyze a system of self-gravitating identical bosons by means of a semirelativistic Hamiltonian comprising the relativistic kinetic energies of the involved particles and added (instantaneous) Newtonian gravitational pair potentials. With the help of an improved lower bound to the bottom of the spectrum of this Hamiltonian, we are able to enlarge the known region for relativistic stability for such boson systems against gravitational collapse and to sharpen the predictions for their maximum stable mass.

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