$^{26}$Si(p,γ)$^{27}$P direct proton capture by means of the asymptotic normalization coefficients method for mirror nuclei

Abstract

The Si26(p,γ)P27 reaction might be relevant in understanding the Si26 depletion and Al26 production in stars. The asymptotic normalization coefficients (ANC) for the Si26(p,γ)P27 reaction were extracted earlier from the reanalysis of Mg26(d,p)Mg27 and Mg26(t,d)Mg27 reactions, in which the deduced ANC's show significant discrepancies. In this work, a dedicated (d,p) measurement is presented: the ANC for the Mg27→Mg26+n virtual decay is deduced from the Mg26(d,p)Mg27 reaction populating the ground and the first excited state of Mg27 using the distorted wave Born approximation (DWBA). The charge symmetry properties for mirror nuclei have been used to calculate the ANC for the direct capture Si26+p→P27 populating the ground state of P27. By means of the same formalism, the Γp width for the first excited state has also been deduced. The reaction rate is also updated using recent values for the Γγ/Γp ratio measured by [Sun , Phys. Rev. C 99, 064312 (2019)2469-998510.1103/PhysRevC.99.064312; Sun , Phys. Lett. B 802, 135213 (2020)PYLBAJ0370-269310.1016/j.physletb.2020.135213]