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A haloscope of the QUAX--$a\gamma$ experiment composed of an oxygen-free highthermal conductivity-Cu cavity inside an 8.1 T magnet and cooled to $\sim200$mK is put in operation for the search of galactic axion with mass$m_a\simeq43~\mu\text{eV}$. The power emitted by the resonant cavity isamplified with a Josephson parametric amplifier whose noise fluctuations are atthe standard quantum limit. With the data collected in about 1 h at the cavityfrequency $\nu_c=10.40176$ GHz, the experiment reaches the sensitivitynecessary for the detection of galactic QCD-axion, setting the $90\%$confidence level limit to the axion-photon coupling$g_{a\gamma\gamma}<0.639\times10^{-13}$ GeV$^{-1}$.

Search for invisible axion dark matter of mass m$_a=43~\mu$eV with the QUAX--$a\gamma$ experiment