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The alpha decay of $^{151}$Eu to the first excited level of $^{147}$Pm($J^\pi = 5/2^+$, $E_{exc}=91.1$ keV) was searched for at the HADES undergroundlaboratory ($\approx 500$ m w.e.). A sample of high purity europium oxide withmass of 303 g and a natural isotopic composition has been measured over 2232.8h with a high energy resolution ultra-low background n-type semi-planar HPGedetector (40 cm$^3$) with sub-micron deadlayer. The new improved half-lifelimit has been set as $T_{1/2} \geq 3.7\times 10^{18}$ yr at 68% C.L.Possibilities to improve the sensitivity of the experiment, which is alreadynear the theoretical predictions, are discussed. New half-life limit for$\alpha$ decay of $^{153}$Eu is also set as $T_{1/2} \geq 5.5\times 10^{17}$yr.

Search for $\alpha$ decay of $^{151}$Eu to the first excited level of $^{147}$Pm using underground $\gamma$-ray spectrometry