$\omega \gamma$ for ${}^{19}\mathrm{Ne}(p,\gamma {)}^{20}\mathrm{Na}(2.64\mathrm{}\hspace{0.5em}\mathrm{MeV})$

Recent information concerning the ${}^{20}\mathrm{Na}$ level at 2643 keV is still consistent with a $J^{\pi }$ assignment of $3^{+}.$ We use new experimental information on the mirror $\gamma$-decay width, together with an evaluation of the isospin nonconserving effects, to obtain $\omega \gamma >~16\hspace{0.5em}\mathrm{meV}$ for the ${}^{19}\mathrm{Ne}(p,\gamma )$ reaction which is of interest for the astrophysical rapid-proton capture process.