Fig. 2: Comparisons of HD angular distributions, theoretical differential cross sections (DCS), and relative DCSs of reaction pathways.

a, b Comparisons between experimental results and theoretical calculation results of HD angular distribution for specific rovibrational states: a HD (v’ = 3, j’ = 12), (v’ = 4, j’ = 8), and (v’ = 1, j’ = 18); b HD (v’ = 2, j’ = 14), (v’ = 4, j’ = 5), and (v’ = 1, j’ = 17). Experimental data are displayed with hollow circles (EXP). Theoretical results without incorporating the geometric phase are depicted by red lines (NGP), whereas those with the geometric phase included are represented by blue lines (GP). c Theoretical DCS comparison between HD (v’ = 3, j’ = 12) state and the combination of states: the blue line represents the theoretical DCS of the combinational state of (v’ = 3, j’ = 12), (v’ = 4, j’ = 8), and (v’ = 1, j’ = 18) with the inclusion of GP; the purple line represents the theoretical DCS of the (v’ = 3, j’ = 12) state with the inclusion of GP. d Theoretical relative DCSs of path 1 and path 2 for product HD (v’ = 3, j’ = 12).