New determination of astrophysical ²⁶Mg(p, γ)²⁷Al reaction rate through the ²⁶Mg(⁷Li, ⁶He)²⁷Al transfer reaction

The²⁶Mg ²⁷Al reaction, as part of the Mg-Al cycle, is closely related to the abundance ratio of²⁶Al to²⁷Al in stars. It also has a direct connection to the Mg-Al anti-correlation observed in globular clusters (GCs). Its reaction rate is determined by multiple known and unknown low-energy resonances. In this work, we measured the angular distributions of the proton transfer reaction²⁶Mg(⁷Li⁶He)²⁷Al populating three levels at excitation energies from 8.324 MeV to 8.597 MeV using the HI-13 tandem accelerator and a high-precision magnetic spectrograph. Proton spectroscopic factors were extracted from the angular distributions corresponding to these three states, and the resonance strengths contributing to the reaction rate were updated. At the same time, the latest calculated reaction rate shows that the result for the 52.8 keV resonance significantly increases the total reaction rate at.