Measurement of the $\mathrm{^{25}Al(d,n)^{26}Si}$ reaction and impact on the $\mathrm{^{25}Al(p,\gamma)^{26}Si}$ reaction rate

The $\mathrm{^{25}Al(p,\gamma)^{26}Si}$ reaction is part of a reaction network with impact on the observed galactic $^{26}$Al abundance. A new determination of the proton strength of the lowest $\ell=0$ proton-resonance in $^{26}$Si is required to more precisely calculate the thermal reaction rate. To this end, the $\mathrm{^{25}Al(d,n)^{26}Si}$ proton-transfer reaction is measured in inverse kinematics using an in-flight radioactive beam at the RESOLUT facility. Excitation energies of the lowest $^{26}$Si proton resonances are measured and cross sections are determined for the lowest $\ell=0$ resonance associated with the $3^{+}_{3}$ state at 5.92(2) MeV. Coupled reaction channels (CRC) calculations using FRESCO are performed to extract the $\ell=0$ spectroscopic factor for the $3^{+}_{3}$ state. The proton width for the $3^{+}_{3}$ state in $^{26}$Si is determined to be $\Gamma_{p}$=2.19(45) eV and the $(p,\gamma)$ resonance strength for the $3^{+}_{3}$ state is extracted as 26(10) meV. This resonance dominates the $\mathrm{^{25}Al(p,\gamma)^{26}Si}$ reaction rate above 0.2 GK.