  We study a one-dimensional multicomponent anyon model that reduces to a
multicomponent Lieb-Liniger gas of impenetrable bosons (Tonks-Girardeau gas)
for vanishing statistics parameter. At fixed component densities, the
coordinate Bethe ansatz gives a family of quantum phase transitions at special
values of the statistics parameter. We show that the ground state energy
changes extensively between different phases. Special regimes are studied and a
general classification for the transition points is given. An interpretation in
terms of statistics of composite particles is proposed.
