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The ultrarelativistic jets triggered by neutrino annihilation processes orBlandford-Znajek (BZ) mechanisms in stellar-mass black hole (BH) hyperaccretionsystems are generally considered to power gamma-ray bursts (GRBs). Due to thehigh accretion rate, the central BHs might grow rapidly on a short timescale,providing a new way to understand "the lower mass gap" problem. In this paper,we use the BH hyperaccretion model to investigate BH mass growth based onobservational GRB data. The results show that (i) if the initial BH mass is setas $3~M_\odot$, the neutrino annihilation processes are capable of fueling theBHs to escape the lower mass gap for more than half of long-duration GRBs(LGRBs), while the BZ mechanism is inefficient on triggering BH growths forLGRBs; (ii) the mean BH mass growths in the case of LGRBs without observablesupernova (SN) association are much larger than these in the case of LGRBsassociated with SNe for both mechanisms, which imply that more massiveprogenitors or lower SN explosion energies prevail throughout the former cases;(iii) for the short-duration GRBs, the mean BH mass growths are satisfied withthe mass supply limitation in the scenario of compact object mergers, but thehyperaccretion processes are unable to rescue BHs from the gap in binaryneutron star (NS) mergers or the initial BH mass being $3~M_\odot$ after NS-BHmergers.

Revisiting black hole hyperaccretion in the center of gamma-ray bursts for the lower mass gap