Power law scaling for rotational energy transfer

Abstract

We have applied a new scaling law to several sets of rotational energy transfer cross sections. The new law asserts that the square of the T-matrix depends on the amount of energy transferred as a power law. Two different kinds of angular momentum statistics are assumed, one corresponding to mj being conserved and the other corresponding to mj being completely randomized. Numerical fits are presented which demonstrate that the data follow the power law better than the widely used exponential gap law.