The reduced adiabatic hyperspherical (RAHS) basis suggested previously is used for the calculation of elastic and spin-flip cross sections in the processes (aμ)F + a → (aμ)F′ + a, a = (p,
d,
t), for collision energies 10−3 ≤ ε ≤ 102 eV. The rapid convergence of the method is demonstrated. A comparison of the obtained results with previous ones is presented.