  Thermal equilibrium rate can play an important role in the energy deposition
of beam to the fuel in fast ignition due to high temperature difference between
projectile ions and background plasma ions. In this study the temperature
equilibration rate of a quasi-monoenergetic deuteron beam with an equimolar
Deuterium-Tritium fusion plasma with a Maxwellian energy distribution is
calculated by kinetic theory equations. In this theory, binary collisions is
described by the Boltzman equation and collective effects is described by the
Lenard-Balescu equation. The obtained results show that at higher background
temperatures, $T_{b}=100 keV$, the ions interactions effect in the temperature
equilibration rate increases because the deuteron beam exchanges most of its
energy with ions plasma
