Investigating ²³Na(p,γ)²⁴Mg sodium destruction reaction in Globular Clusters using ²³Na(³He,d) spectroscopy

Current studies had a hard time explaining the Na-O anticorrelation in globular cluster stars. The reaction rates of a sodium destruction reaction ²³Na(p,γ)²⁴Mg play an important role while suffering from large uncertainties in hydrogen burning temperatures. For better understandings of such reaction, we performed a ²³Na(³He,d) experiment in angular range of 5°≤θ_lab≤21° at E(³He)=21MeV using the Enge Split-pole Spectrograph at Triangle Universities Nuclear Laboratory. Energy states below the ²³Na + p threshold in ²⁴Mg were examined. For those states, spectroscopic factors were extracted with rigorous uncertainties using Bayesian MCMC and DWBA method, R-matrix analysis were performed, and direct capture cross sections and reaction rates were calculated. Their impacts on globular cluster nucleosynthesis were further discussed.