Identification of new states in ${}^{26}\mathrm{Si}$ using the ${}^{29}\mathrm{Si}{(}^3\mathrm{He}{,}^6\mathrm{He}{)}^{26}\mathrm{Si}$ reaction and consequences for the ${}^{25}\mathrm{Al}(p,\gamma {)}^{26}\mathrm{Si}$ reaction rate in explosive hydrogen burning environments

We have studied the ${}^{29}\mathrm{Si}{(}^3\mathrm{He}{,}^6\mathrm{He}{)}^{26}\mathrm{Si}$ reaction and have identified new states in ${}^{26}\mathrm{Si}$ at $E_x=5.140\mathrm{}\left(10\right),$ $E_x=5.678\mathrm{}\left(8\right)\mathrm{}\hspace{0.5em}\mathrm{MeV},$ and $E_x=5.945\mathrm{}\left(8\right).$ Based on these measurements and other recent evidence, we suggest spin-parity assignments of $1^{+}$ for the 5.678 MeV state and $3^{+}$ for the 5.945 MeV state, which would account for all the “missing” unnatural parity states in ${}^{26}\mathrm{Si}$ in the excitation energy region important to hydrogen burning in novae. New reaction rates are presented for the ${}^{25}\mathrm{Al}(p,\gamma {)}^{26}\mathrm{Si}$ reaction based on this possible assignment of states.