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Results on the production of 4He and 4He¯¯¯¯¯¯ nuclei in Pb-Pb collisions at sNN−−−√=2.76 TeV in the rapidity range ∣y∣<1, using the ALICE detector, are presented in this paper. The rapidity densities corresponding to 0-10% central events are found to be dN/dy4He=(0.8±0.4 (stat)±0.3 (syst))×10−6 and dN/dy4He¯¯¯¯¯¯¯=(1.1±0.4 (stat)±0.2 (syst))×10−6, respectively. This is in agreement with the statistical thermal model expectation assuming the same chemical freeze-out temperature (Tchem = 156 MeV) as for light hadrons. The measured ratio of 4He¯¯¯¯¯¯/4He is 1.4±0.8 (stat)±0.5 (syst).