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We have calculated accurate quantum reactive and elastic cross-sections for the prototypical barrierless reaction D^+ + H_2(v=0, j=0) using the hyperspherical scattering method. The considered kinetic energy ranges from the ultracold to the Langevin regimes. The availability of accurate results for this system allows to test the quantum theory by Jachymski et al. [Phys. Rev. Lett. 110, 213202 (2013)] in a nonuniversal case. The short range reaction probability is rationalized using statistical model assumptions and related to a statistical factor. This provides a means to estimate one of the parameters that characterizes ultracold processes from first principles. Possible limitations of the statistical model are considered.

Despite their long painful history dibaryon searches have recently received new interest, in particular by the recognition that there are more complex quark configurations than just the familiar ̅qq and qqq systems. The "hidden color" aspect makes dibaryons a particularly interesting object in QCD.
A resonance like structure recently observed in double-pionic fusion to deuteron, at M=2.38 GeV with Γ= 70 MeV and (J_p)=0(3+) meanwhile proved to be the so called “inevitable dibaryon” d*(2380). To investigate its structure we have measured its decay branches into the dπ^0 π^0,dπ^+ π^-,ppπ^- π^0,pnπ^0 π^0 and pn channels.
d*(2380) dibaryon is robust enough to survive even in a nuclear surrounding, which may have interesting consequences for nuclear matter under extreme conditions. It has been shown that d* resonance can explain some dilepton yield in heavy-ion collisions (”DLS Puzzle”).
Various theoretical calculations on d* internal structure can be verified by future experiments in MAINZ and JLab. d*(2380) is unique multiquark system where the interplay between six-quark and molecular baryon-baryon components can be actually measured. Further investigations on d* dibaryon SU(3) multiplet companions as well as the mirror partners are expected to be done in near future by COSY, JLab, J-PARC and PANDA facilities.