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An inelastic $\alpha$-scattering experiment on the unstable $N=Z$,doubly-magic $^{56}$Ni nucleus was performed in inverse kinematics at anincident energy of 50 A.MeV at GANIL. High multiplicity for $\alpha$-particleemission was observed within the limited phase-space of the experimental setup.This observation cannot be explained by means of the statistical-decay model.The ideal classical gas model at $kT$ = 0.4 MeV reproduces fairly well theexperimental momentum distribution and the observed multiplicity of $\alpha$particles corresponds to an excitation energy around 96 MeV. The method ofdistributed $m\alpha$-decay ensembles is in agreement with the experimentalresults if we assume that the $\alpha$-gas state in $^{56}$Ni exists at around$113^{+15}_{-17}$ MeV. These results suggest that there may exist an exoticstate consisting of many $\alpha$ particles at the excitation energy of$113^{+15}_{-17}$ MeV.

Signature of a possible $\alpha$-cluster state in $N=Z$ doubly-magic $^{56}$Ni