{ "id": "2312.13459", "version": "v1", "published": "2023-12-20T22:20:18.000Z", "updated": "2023-12-20T22:20:18.000Z", "title": "Prediction of Multiple Features in the Black Hole Mass Function due to Pulsational Pair-Instability Supernovae", "authors": [ "Djuna Croon", "Jeremy Sakstein" ], "comment": "6 pages, 4 figures", "categories": [ "astro-ph.HE", "astro-ph.SR", "gr-qc", "hep-ph" ], "abstract": "Using high-resolution simulations of black hole formation from the direct collapse of massive stars undergoing pulsational pair-instability supernovae (PPISN), we find a new phenomenon which significantly affects the explosion and leads to two peaks in the resulting black hole mass function (BHMF). Lighter stars experiencing the pair-instability can form a narrow shell in which alpha ladder reactions take place, exacerbating the effect of the PPISN. The shell temperature in higher mass stars ($>62 {\\rm M}_\\odot $ at the onset of helium burning for population-III stars with metallicity $Z=10^{-5}$) is too low for this to occur. As a result, the spectrum of black holes $M_{\\rm BH} (M_i)$ exhibits a shoulder feature whereby a large range of initial masses result in near-identical black hole masses. PPISN therefore predict two peaks in the mass function of astrophysical black holes -- one corresponding to the location of the upper black hole mass gap and a second corresponding to the location of the shoulder. This shoulder effect may explain the peak at $35_{-2.9}^{+1.7}{\\rm M}_\\odot$ in the LIGO/Virgo/KAGRA GWTC-3 catalog of merging binary black holes.", "revisions": [ { "version": "v1", "updated": "2023-12-20T22:20:18.000Z" } ], "analyses": { "keywords": [ "black hole mass function", "multiple features", "black hole mass gap", "undergoing pulsational pair-instability supernovae", "stars undergoing pulsational pair-instability" ], "note": { "typesetting": "TeX", "pages": 6, "language": "en", "license": "arXiv", "status": "editable" } } }