  The conventional hadron-resonance gas (HRG) model with the Particle Data
Group (PDG) hadron input, full chemical equilibrium, and the hadron type
dependent eigenvolume interactions is employed to fit the hadron mid-rapidity
yield data of ALICE Collaboration for the most central Pb+Pb collisions. For
the case of point-like hadrons the well-known fit result $T = 154 \pm 2$ MeV is
reproduced. However, the situation changes if hadrons have different
eigenvolumes. In the case when all mesons are point-like while all baryons have
an effective hard-core radius of 0.3 fm the $\chi^2$ temperature dependence of
the $\chi^2$ has a broad minimum in the temperature range of $155-210$ MeV,
with fit quality comparable to the $T \sim 155$ MeV minimum in the
point-particle case. Very similar result is obtained when only baryon-baryon
eigenvolume interactions are considered, with eigenvolume parameter taken from
previous fit to ground state of nuclear matter. Finally, when we apply the
eigenvolume corrections with mass-proportional eigenvolume $v_i \sim m_i$,
fixed to particular proton hard-core radius $r_p$, we observe a second minimum
in the temperature dependence of the $\chi^2$, located at the significantly
higher temperatures. For instance, at $r_p = 0.5$ fm the fit quality is better
than in the point-particle HRG case in a very wide temperature range of
$170-320$ MeV, which gives an uncertainty in the temperature determination from
the fit to the data of 150 MeV. These results show that thermal fits to the
heavy-ion hadron yield data are very sensitive to the modeling of the
short-range repulsion eigenvolume between hadrons, and that chemical freeze-out
temperature can be extracted from the LHC hadron yield data only with sizable
uncertainty.
