Galactic axions search with a superconducting resonant cavity

To account for the dark-matter content in our Universe, postinflationary scenarios predict for the QCD axion a mass in the range $(10--{10}^{3})\text{ }\text{ }\ensuremath{\mu}\mathrm{eV}$. Searches with haloscope experiments in this mass range require the monitoring of resonant cavity modes with frequency above 5 GHz, where several experimental limitations occur due to linear amplifiers, small volumes, and low quality factors of copper resonant cavities. In this paper, we deal with the last issue, presenting the result of a search for galactic axions using a haloscope based on a $36\text{ }\text{ }{\mathrm{cm}}^{3}$ NbTi superconducting cavity. The cavity worked at $T=4\text{ }\text{ }\mathrm{K}$ in a 2 T magnetic field and exhibited a quality factor ${Q}_{0}=4.5\ifmmode\times\else\texttimes\fi{}{10}^{5}$ for the TM010 mode at 9 GHz. With such values of $Q$, the axion signal is significantly increased with respect to copper cavity haloscopes. Operating this setup, we set the limit ${g}_{a\ensuremath{\gamma}\ensuremath{\gamma}}<1.03\ifmmode\times\else\texttimes\fi{}{10}^{\ensuremath{-}12}\text{ }\text{ }{\mathrm{GeV}}^{\ensuremath{-}1}$ on the axion photon coupling for a mass of about $37\text{ }\text{ }\ensuremath{\mu}\mathrm{eV}$. A comprehensive study of the NbTi cavity at different magnetic fields, temperatures, and frequencies is also presented.