Continued fraction representation for slow neutron scattering. II

The calculation of slow neutron scattering cross sections for simple classical liquids by means of Mori's continued fraction representation was discussed in a previous article on the basis of the long-time approximation. In the present work it is shown that by going beyond the long-time approximation one can eliminate certain difficulties that arose in the previous work. This new approach yields results equivalent to those found by Kadanoff and Martin, and others, from linear response theory. Numerical calculations are made for liquid argon and compared with available experimental data.