  We study the transverse momentum spectra of light nuclei (deuteron,
anti-deuteron and triton) produced in Gold-Gold (Au-Au) collisions in different
centrality bins by the blast wave model with Tsallis statistics. The model
results are in agreement with the experimental data measured by STAR
Collaboration in special transverse momentum ranges. We extracted the kinetic
freezeout temperature, transverse flow velocity and kinetic freezeout volume.
It is observed that kinetic freezeout temperature and transverse flow velocity
increases initially, and then saturates from 14.5-39 GeV, while the kinetic
freezeout volume increase initially up to 19.6 GeV but saturates from 19.6-39
GeV. This may indicate that the phase transition starts in part volume that
ends in the whole volume at 39 GeV and the critical point may exists somewhere
in the energy range of 14.5-39 GeV. The present work observed that the kinetic
freezeout temperature, transverse flow velocity and kinetic freezeout volume
has a decreasing trend from central to peripheral collisions. We found the
freezeout volume of triton is smaller than those of deuteron and anti-deuteron,
which shows that triton freezeout earlier than that of deuteron and
anti-deuteron.
