  Reactive and elastic cross-sections, and rate coefficients, have been
calculated for the S(1D)+ D2 (v=0, j=0) reaction using a modified
hyperspherical quantum reactive scattering method. The considered collision
energy ranges from the ultracold regime, where only one partial wave is open,
up to the Langevin regime, where many of them contribute. This work presents
the extension of the quantum calculations, which were compared with the
experimental results in a previous work, down to energies in the cold and
ultracold domains. Results are analyzed and compared with the universal case of
the quantum defect theory by Jachymski et al. [Phys. Rev. Lett. 110, 213202
(2013)]. State-to-state integral and differential cross sections are also shown
covering the ranges of low-thermal, cold and ultracold collision energy
regimes. It is found that at E/k_B T < 1 K there are substantial departures
from the expected statistical behavior, and that dynamical features become
increasingly important with decreasing collision energy, leading to vibrational
excitation.
