2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/201998In supersymmetric generalizations of the Standard Model, all stable Q-balls are associated with some flat directions. We show that, if the flat direction has both the baryon number and the lepton number, the scalar field inside the Q-ball can deviate slightly from the flat direction in the ground state. We identify the true ground states of such nontopological solitons, including the electrically neutral and electrically charged Q-balls.9 pages, 1 figure, revtexHigh Energy Physics - Phenomenologytext