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

TL;DR

This paper investigates the stability of a system of identical bosons under a semirelativistic Hamiltonian with gravitational pair potentials, providing improved bounds and predictions for maximum stable mass.

Contribution

It introduces an improved lower bound for the spectrum of the Hamiltonian, extending the stability region and refining maximum mass estimates for boson systems.

Findings

Extended the stability region against gravitational collapse.

Provided sharper predictions for maximum stable mass.

Enhanced understanding of semirelativistic boson systems.

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.