On the quantum cross sections in dilute gases

The quantal cross section Q(N)qm for collision in dilute gases is given for any order N, where previously in the literature only values up to N=4 were to be found. The quantum-statistical character of Q(N)qm is discussed and calculations are presented for Q(1) through Q(6) for Boltzmann, Fermi–Dirac, and Bose–Einstein cases for 3He–4He, 3He–3He, and 4He–4He using extensive tables of phase shifts.