摘要
<p>511 keV gamma-ray excess from the Galactic center is a long lasting anomaly without satisfying astrophysical explanation. Hawking evaporation of hypothetical primordial black hole (PBH) with mass 1.0 <b>×</b> 10<sup>-17</sup> ≲ <i>M</i><sub>PBH</sub>/<i>M</i><sub>⊙</sub> ≲ 8.0 <b>×</b> 10<sup>-17</sup> and fractional abundance 10<sup>-3</sup> ≲ <i>f</i><sub>PBH</sub> ≲ 1.0, gives rise substantial non-relativistic electrons/positrons annihilating into diphoton, well reproduces the 511 keV line. However, it is obscure of the mechanism behind to form PBH with meteoritical mass in the early Universe. In this work, we investigated the production mechanism of PBHs through a cosmological first-order phase transition induced by quartic effective thermal potential via a scalar field in dark sector. We found the phase transition with vacuum energy, <img align="baseline" alt="Script O" src="https://cdn.images.iop.org/Entities/calO.gif" />(1) ≲ <i>B</i><sup>1/4</sup>/MeV ≲ <img align="baseline" alt="Script O" src="https://cdn.images.iop.org/Entities/calO.gif" /> (100), produces the desired monochromatic PBH mass and abundance fraction. Correlated signatures of gravitational wave and extragalactic gamma-ray, respectively coming from phase transition and black hole evaporation, are within <i>μ</i>Ares and AMEGO/e-ASTROGAM/COSI/XGIS-THESUS projected sensitivities. Finally, we include the PBH mass function from FOPT and found it can not improve the explanation to 511 keV excess.</p>