Search for scaling onset in exclusive reactions with the lightest nuclei

preprint2016arXivOpen access

Abstract

The dimensional scaling of the differential cross sections of binary reactions dσ/dt∼s−(n−2)dσ/d t\sim s^{-(n-2)}, where nn is given by constituent quark counting rules, was predicted for asymptotically high energies s≫mi\sqrt{s}\gg m_i and transferred momenta −t≫mi2-t\gg m_i^2 at t/s=constt/s=const (here ss and tt are the Mandelstam variables and mim_i denotes a hadron mass), but manifested itself at surprisingly moderate energies of few GeV at large fixed cms angles θcm∼90∘θ_{cm}\sim 90^\circ. This behaviour is observed not only in reactions with free hadrons, but with the deuteron and 3He^3He too both for electromagnetic and pure hadronic interactions. One may suppose that observed scaling points out to effective restoration of near-conformal and, probably, chiral symmetry in these processes. A systematical experimental study of the scaling behaviour of the reactions with the deuteron, 3H^3H, 3He^3He, and 4He^4He nuclei is still absent. We consider a possibility to carry out this study in dddd collisions at the JINR Nuclotron.

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