Determination of the ~(25)Mg(p,γ)~(26)Al resonance strength at E_(c.m.)=58 keV via shell model calculation

The observation of 26 Al is an useful tool for γ-ray astronomy and in studies of galactic chemical evolution. The most likely mechanism for 26A1 nucleosynthesis is in the hydrogen burning Mg Al cycle, and the 26A1 production reaction 25Mg(p,γ)26Al at the important temperature range below T = 0.2 GK is still not well known. The spectroscopic factor of 58 ke V resonance level in 26A1 is determined with shell model calculation and then used to deduce the resonance strength of the 25Mg(p,γ)26Al reaction. The result provides a reference for the future 25Mg(p,γ)26Al direct measurement at Jinping underground laboratory.