  In this paper we calculate the center-of-mass energy of two colliding test
particles near the rotating and non-rotating Horava-Lifshitz black hole. For
the case of slowly rotating KS solution of Horava-Lifshitz black hole we
compare our results with the case of Kerr black holes. We confirm the limited
value of the center-of-mass energy for the static black holes and unlimited
value of the center-of-mass energy for the rotating black holes. Numerically,
we discuss temperature dependence of the center-of-mass energy on the black
hole horizon. We obtain the critical angular momentum of particles. In this
limit the center-of-mass energy of two colliding particles in the neighborhood
of the rotating Horava-Lifshitz black hole could be arbitrarily high. We found
appropriate conditions where the critical angular momentum could have an orbit
outside the horizon. Finally, we obtain center-of-mass energy corresponding to
this circle orbit.
