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Constraints from gravitational wave detections of binary black hole mergers on the $^{12}\rm{C}\left(\alpha,\gamma\right)^{16}\!\rm{O}$ rate
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abstract
Gravitational wave detections are starting to allow us to probe the physical processes in the evolution of very massive stars through the imprints they leave on their final remnants. Stellar evolution theory predicts the existence of a gap in the black hole mass distribution at high mass due to the effects of pair-instability. Previously, we showed that the location of the gap is robust against model uncertainties, but it does depend sensitively on the uncertain $^{12}\rm{C}\left(\alpha,\gamma\right)^{16}\!\rm{O}$ rate. This rate is of great astrophysical significance and governs the production of oxygen at the expense of carbon. We use the open source MESA stellar evolution code to evolve massive helium stars to probe the location of the mass gap. We find that the maximum black hole mass below the gap varies between $40\rm{M}_\odot$ to $90\rm{M}_\odot$, depending on the strength of the uncertain $^{12}\rm{C}\left(\alpha,\gamma\right)^{16}\!\rm{O}$ reaction rate. With the first ten gravitational-wave detections of black holes, we constrain the astrophysical S-factor for $^{12}\rm{C}\left(\alpha,\gamma\right)^{16}\!\rm{O}$, at $300\rm{keV}$, to $S_{300}>175\rm{\,keV\, barns}$ at 68% confidence. With $\mathcal{O}(50)$ detected binary black hole mergers, we expect to constrain the S-factor to within $\pm10$-$30\rm{\,keV\, barns}$. We also highlight a role for independent constraints from electromagnetic transient surveys. The unambiguous detection of pulsational pair instability supernovae would imply that $S_{300}>79\rm{\,keV\, barns}$. Degeneracies with other model uncertainties need to be investigated further, but probing nuclear stellar astrophysics poses a promising science case for the future gravitational wave detectors.
Forward citations
Cited by 7 Pith papers
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The Stellar Winds Atlas II: Black Hole Formation at Solar Metallicity
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Reconstruction of Primordial Power Spectrum from Gravitational Waves of High-Redshift Black Hole Binaries
Gradient-descent inversion of redshifted BBH mass distributions recovers the PBH mass function and, via regularized Press-Schechter, a candidate O(10^{-2}) bump in the small-scale primordial power spectrum.
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Signatures of a subpopulation of hierarchical mergers in the GWTC-4 gravitational-wave dataset
Using a joint effective-spin and precession-spin model on 155 gravitational-wave events, the authors infer that the hierarchical (second-generation) merger fraction rises sharply above ~46 M_sun and peaks again near 1...
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Searching for binary black hole mergers with deep learning in Advanced LIGO's third observing run
A hybrid matched-filter/deep-learning pipeline recovers 31 known O3 events and reports a new tentative high-mass candidate, with sensitivity comparable to existing searches only for chirp masses above 25 solar masses.
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Inferring the pair-instability mass gap from gravitational wave data
Non-parametric analysis of GWTC-3 finds a transition at roughly 46 solar masses above which the effective spin distribution broadens and becomes consistent with symmetry around zero, consistent with second-generation ...
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Binary Black Hole Phase Space Discovers the Signature of Pair Instability Supernovae Mass Gap
Applying a phase-space overlap method to GWTC-4, the paper claims first-generation black holes are truncated near 45.5 solar masses, but the cutoff follows from the assumed exponential mass prior rather than from the data.
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