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Recent pulsar timing observations with MeerKAT on the eccentric binarymillisecond pulsar, PSR J0514$-$4002E, reveal a companion with a mass (between$2.09\, M_\odot$ and $2.71\, M_\odot$) in the mass gap, challengingconventional astrophysical scenarios for black hole formation. In this letter,we propose an alternative explanation: PSR J0514$-$4002E exists in a PBH-NSbinary, with the companion potentially being a primordial black hole formedduring the early Universe's first-order phase transition. The associatedstochastic gravitational-wave background generated during this phase transitioncan explain the detected signal from the pulsar timing array and the abundanceof primordial black holes is consistent with constraints from LIGO-Virgo-KAGRA.

Is PSR J0514$-$4002E in a PBH-NS binary?