  From the analysis of light (anti)nuclei multiplicities that were measured
recently by the ALICE collaboration in Pb+Pb collisions at the center-of-mass
collision energy $\sqrt{s_{NN}} =2.76$ TeV there arose a highly non-trivial
question about the excluded volume of composite particles. Surprisingly, the
hadron resonance gas model (HRGM) is able to perfectly describe the light
(anti)nuclei multiplicities under various assumptions. Thus, one can consider
the (anti)nuclei with a vanishing hard-core radius (as the point-like
particles) or with the hard-core radius of proton, but the fit quality is the
same for these assumptions. It is clear, however, that such assumptions are
unphysical. Hence we obtain a formula for the classical excluded volume of
loosely bound light nuclei consisting of A baryons. To implement a new formula
into the HRGM we have to modify the induced surface tension concept to treat
the hadrons and (anti)nuclei on the same footing. We perform a simultaneous
analysis of hadronic and (anti)nuclei multiplicities measured by the ALICE
collaboration. The HRGM with the induced surface tension allows us to verify
different assumptions on the values of hard-core radii and different scenarios
of chemical freeze-out of light (anti)nuclei. It is shown that the
unprecedentedly high quality of fit $\chi^2_{tot}/dof \simeq 0.769$ is
achieved, if the chemical freeze-out temperature of hadrons is about $T_h=150$
MeV, while the one for all (anti)nuclei is $T_A=174-175.2$ MeV.

High Energy Physics - Phenomenology;Nuclear Experiment;Nuclear Theory