Study of the ${}^{25}$Mg(d,p)${}^{26}$Mg reaction to constrain the ${}^{25}$Al(p,$\gamma$)${}^{26}$Si resonant reaction rates in nova burning conditions

Abstract

The rate of the ${}^{25}$Al($p$,$\gamma$)${}^{26}$Si reaction is one of the few key remaining nuclear uncertainties required for predicting the production of the cosmic $\gamma$-ray emitter ${}^{26}$Al in explosive burning in novae. This reaction rate is dominated by three key resonances ($J^{\pi }=0^{+}$, $1^{+}$ and $3^{+}$) in ${}^{26}$Si. Only the $3^{+}$ resonance strength has been directly constrained by experiment. A high resolution measurement of the ${}^{25}$Mg($d$,$p$) reaction was used to determine spectroscopic factors for analog states in the mirror nucleus, ${}^{26}$Mg. A first spectroscopic factor value is reported for the $0^{+}$ state at 6.256 MeV, and a strict upper limit is set on the value for the $1^{+}$ state at 5.691 MeV, that is incompatible with an earlier (${}^4$He,${}^3$He) study. These results are used to estimate proton partial widths, and resonance strengths of analog states in ${}^{26}$Si contributing to the ${}^{25}$Al($p$,$\gamma$)${}^{26}$Si reaction rate in nova burning conditions.

arXiv commentFinal version accepted and published. 6 pages and 3 figures

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