Indirect Measurement of the Mg Direct Capture Reaction Rate via (He,d) Spectroscopy
Kaixin Song · Richard Longland🇺🇸 · Caleb Marshall🇺🇸 · Kiana Setoodehnia🇺🇸 · Federico Portillo Chaves · Axel Fraud
The cross section of the reaction is dominated by direct capture at low energies relevant for stellar burning. Such cross sections can be constrained using spectroscopic factors() or asymptotic normalization coefficients(ANCs) from transfer reactions. In this work, the reaction was measured at MeV to extract spectroscopic factors for states with excitation energies in MeV using the Enge split-pole spectrograph at the Triangle Universities Nuclear Laboratory. A new non-resonant astrophysical S factor and the direct capture reaction rate for the reaction are calculated and presented based on this measurement. The new rate at GK is 43 smaller than in previous studies. Rigorous treatments of uncertainties are presented using a Bayesian Markov Chain Monte Carlo (MCMC) method. Sources of uncertainties for computing the direct capture cross section are also discussed in detail.