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

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.

arXiv comment11 pages, considerably enlarged introduction and motivation, remainder of the paper unchanged

References in corpus (6)

• N-representability is QMA-complete
• Discrete spectra of semirelativistic Hamiltonians from envelope theory
• Relativistic N-boson systems bound by pair potentials V(r_{ij}) = g(r_{ij}^2)
• On existence of mini-boson stars
• Relativistic N-Boson Systems Bound by Oscillator Pair Potentials
• Gravitating semirelativistic N-boson systems

Cited by in corpus (7)

• The quantum N-body problem and the auxiliary field method
• HALL POST INEQUALITIES: review and application to molecules and tetraquarks
• Klein-Gordon lower bound to the semirelativistic ground-state energy
• A semirelativistic treatment of spinless particles subject to the Yukawa potential with arbitrary angular momenta
• A semi-relativistic treatment of spinless particles subject to the nuclear Woods-Saxon potential
• Analytical Solution of two-body spinless Salpeter Equation for Hellmann Potential
• Semirelativistic N-boson systems bound by attractive pair potentials