The heavy tetra-quark states after the discovery of tetra-charm states.

Abstract This paper is devoted to the study of exclusive charm and bottom bound states which are suitable, at least partially, for a non-relativistic description. Starting from simple choice quarkonia tetra-quark wave functions we their production cross sections, total widths more interesting decay properties. In particular, compute sections ground state scalar getting results compatible with values appearing in literature. We also lower energy tetra-quarks, rates two $$\mu \bar{\mu }$$ μ ¯ pairs $$q{\bar{q}}\mu q channel. Our on tetra-charm consistent data published by LHCb Collaboration those tetra-bottom show reasonable agreement indications CMS Collaboration. section analyses based interpolations gluon–gluon luminosity grids NNPDF CTEQ Collaborations. The hard amplitude calculations QCD tree approximation. think that careful improvement our method refinement experimental after foreseen increase LHC will make possible valuable tests intermediate energies.