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tokens: density. Finally, a summary of our results is given in Section 5 . The transition HD( j 1 ) + X( j 2 ) → HD() + X( j 2 ) is denoted by hereafter. 2 CALCULATION DETAILS The PESs developed for the H 2 –H 2 system can also be applied to the HD + H 2 collisions. Under the Born–Oppenheimer approximation, the H 2 –HD interaction potential is identical to that of H 2 –H 2 . The main difference between H 2 –H 2 and HD–H 2 is that the centre-of-mass of one of the H 2 molecules is displayed from the middle of the interatomic distance to the centre-of-mass of the HD molecule. A coordinate rotation that shifts the centre-of-mass of H 2 to HD similar to that adopted by Sultanov et al. ( 2012 ) is utilized to obtain the H 2 –HD PES from the H 2 –H 2 Patkowski PES. We followed the corrected coordinate rotation approach as described in the appendix of Balakrishnan et al. ( 2018 ). Computations were carried out using the quantum CC method with a mixed-mode OpenMP/MPI version of the non-reactive scattering code molscat (Hutson Green 1994 ) modified by Valiron McBane ( 2008 ) and Walker ( 2013 ), referred to as vrrmm hereafter. Both the HD and H 2 molecules are treated as rigid rotors. The full quantum CC formulation is well documented in Green ( 1975 ). In the scattering calculations, the angular dependence of the interaction PES is expanded as where are radial expansion coefficients and are the bispherical harmonics. (14, 14, 8) quadrature points are used for integration along each of the angular coordinates (θ 1 , θ 2 , φ). As discussed in Balakrishnan et al. ( 2018 ), the leading anisotropic terms on the HD–H 2 potential, A 101 and A 022 , are nearly identical for both the Hinde PES and Patkowski PES. We excluded any terms beyond A 448 , because higher order terms do not make significant contributions and are not included in the PES of Patkowski et al. ( 2008 ). The modified log-derivative Airy propagator of Alexander Manolopoulos ( 1987 ) is applied to integrate the coupled channel equations and the log-derivative matrix propagated to sufficiently large intermolecular separations to yield converged results. The interval from R = 1 a 0 to the asymptotic matching radius R = 60 a 0 with a step size 0.05 a 0 is found to be adequate for the propagation. We also performed several convergence tests to verify the reliability of the computed collision data. Basis sets with [0 ∼ j 1 + 5; j 2 ∼ j 2 + 4] were found to be sufficiently large for collision energies smaller than 20 000 cm −1 . Basis sets [0 ∼ j 1 + 2; j 2 ∼ j 2 + 4] are sufficiently large for collision energies smaller than 1000 cm −1 . Since the full CC calculation is prohibitively expensive at high collision energies, the coupled-state (CS) decoupling approximation (Heil, Green Kouri 1978 ) is used for calculations for collision energies larger than 2000 cm −1 . The total wave function is expanded in the basis in the CC formulation, while in the CS formulation, is chosen to be the basis sets, where