We report accurate coupled-channel quantum calculations of state-to-state a
nd degeneracy-averaged differential cross sections for the rotationally ine
lastic collision Ar Jr HF(v(i) = 0, j(i) = 0, m(i) = 0) --> Ar + HF(v(f) =
0, j(f), m(f)), where v(i), j(i), m(i) and v(f), j(f), m(f) are initial and
final vibrational, rotational, and helicity quantum numbers, respectively.
The calculations have been performed at eight collision energies and assum
e that HF is a rigid rotator. Structure in the differential cross sections
is analyzed using the unrestricted version of nearside-farside (NF) theory.
The NF theory decomposes the partial wave series (PWS) for the helicity sc
attering amplitude into two subamplitudes, one N, the other F. This is the
first application of NF theory to an atom-heteronuclear molecule inelastic
collision. It is demonstrated that the NF technique provides a clear physic
al interpretation of the angular scattering, except sometimes for scatterin
g angles, theta, close to 0 degrees and 180 degrees. It is also shown that
a resummation of the PWS can improve the usefulness of the NF technique, wh
en the N and F cross sections possess small oscillations. The resummation p
rocedure exploits recurrence properties of reduced rotation matrix elements
to extract a factor (alpha + beta cos theta)(-1) from the PWS, where alpha
and beta are constants. Criteria for choosing alpha and beta so as to obta
in a physically meaningful NF decomposition are discussed.