2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/206542We 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.11 pages, considerably enlarged introduction and motivation, remainder of the paper unchangedHigh Energy Physics - TheoryAstrophysicsHigh Energy Physics - PhenomenologyMathematical Physicstext