  We report the first experimental results obtained with the new haloscope of
the QUAX experiment located at Laboratori Nazionali di Frascati of INFN (LNF).
The haloscope is composed of a OFHC Cu resonant cavity cooled down to about 30
mK and immersed in a magnetic field of 8 T. The cavity frequency was varied in
a 6 MHz range between 8.831496 and 8.83803 GHz. This corresponds to a
previously unprobed mass range between 36.52413 and 36.5511 $\mu$eV. We don't
observe any excess in the power spectrum and set limits on the axion-photon
coupling in this mass range down to $g_{a\gamma\gamma} < 0.861 \times 10^{-13}$
GeV$^{-1}$ with the confidence level set at $90\%$.
