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Cross sections of $^{120}$Sn($\alpha$,$\alpha$)$^{120}$Sn elastic scatteringhave been extracted from the $\alpha$ particle beam contamination of a recent$^{120}$Sn($^6$He,$^6$He)$^{120}$Sn experiment. Both reactions are analyzedusing systematic double folding potentials in the real part and smoothlyvarying Woods-Saxon potentials in the imaginary part. The potential extractedfrom the $^{120}$Sn($^6$He,$^6$He)$^{120}$Sn data may be used as the basis forthe construction of a simple global $^6$He optical potential. The comparison ofthe $^6$He and $\alpha$ data shows that the halo nature of the $^6$He nucleusleads to a clear signature in the reflexion coefficients $\eta_L$: the relevantangular momenta $L$ with $\eta_L \gg 0$ and $\eta_L \ll 1$ are shifted tolarger $L$ with a broader distribution. This signature is not present in the$\alpha$ scattering data and can thus be used as a new criterion for thedefinition of a halo nucleus.

Comparison of 120Sn(6He,6He)120Sn and 120Sn(alpha,alpha)120Sn elastic scattering and signatures of the 6He neutron halo in the optical potential