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When the integration over all collision planes (b→,v→) is performed, the if dependence of the probabilities drops so that the integrations over this angle gets to a trivial 2π factor. Note that for convenience in our code, we have instead kept fixed the collision plane and turned the molecule around the z axis to calculate the azimuthal dependences; cf. Fig. 4.
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These integrals do not correspond to cross sections since they exclude the integration over the azimuthal angle but appear in the evaluation of any cross section; cf. Eqs. (17)-(19).
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AB,eq.. Few selective test calculations taking care of the initial vibrational ground-state distribution have been performed and did not show any significative differences in the cross sections.
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