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

High Energy Physics - Theory 2008-11-26 v3 Astrophysics High Energy Physics - Phenomenology Mathematical Physics math.MP

Abstract

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.

Keywords

Cite

@article{arxiv.hep-th/0602272,
  title  = {Semirelativistic stability of N-boson systems bound by 1/r pair potentials},
  author = {Richard L. Hall and Wolfgang Lucha},
  journal= {arXiv preprint arXiv:hep-th/0602272},
  year   = {2008}
}

Comments

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