Searching for resonance states in $^{22}$Ne($p,\gamma$)$^{23}$Na

Background: Significant uncertainties exist in the $^{22}$Ne($p,\gamma$)$^{23}$Na reaction rate due to the possible influence of an unobserved resonance state at $E_\mathrm{x} = 8862$ keV ($E_\mathrm{r,c.m.} = 68$ keV). Purpose: To study excited states in $^{23}$Na above the proton threshold to determine if this resonance state, and other unconfirmed resonance states in $^{23}$Na, exist. Methods: The non-selective proton inelastic scattering reaction at low energies was used to search for excited states in $^{23}$Na above the proton threshold. Protons scattered from various targets were momentum-analysed in the Q3D magnetic spectrograph at the Maier-Leibnitz Laboratorium, Munich, Germany. Results: The resonance states reported at $E_\mathrm{x} = 8862$, $8894$ and $9000$ keV were not observed in the present experiment at any angle. This result, combined with other non-observations of these resonance states in other reactions, results in a strong presumption against the existence of these resonance states. Conclusions: The previously reported resonance states at $E_\mathrm{x} = 8862$, $8894$ and $9000$ keV are unlikely to exist and should be omitted from future evaluations of the $^{22}$Ne($p,\gamma$)$^{23}$Na reaction rates. Indirect studies using low-energy proton inelastic scattering are a simple and yet exceptionally powerful tool in helping to constrain astrophysical reaction rates by providing non-selective information of the excited states of nuclei.