Possible Explanations for the Proposed J/Ψ + J/Ψ and J/Ψ + Ψ(2S) Tetraquark States

Bevelacqua Resources, 7531 Flint Crossing Circle SE, Owens Cross Roads, AL 35763 USA bevelesou@aol.com The recently proposed J/Ψ + J/Ψ and J/Ψ + Ψ(2S) structures are investigated using a first-order tetraquark mass formula. This mass relationship is based on weakly bound J/Ψ(c c-bar) + J/Ψ(c c-bar) and J/Ψ(c c-bar) + Ψ(2S)(c c-bar) meson clusters. The first-order tetraquark mass formula provides a reasonable prediction compared to the two model fits of the ATLAS collaboration. The J/Ψ + J/Ψ tetraquark model predicts a mass of 6.30 GeV/c2 compared with the model fits of 6.41 and 6.65 GeV/c2. Model fits for the J/Ψ + Ψ(2S) tetraquark are 6.96 and 7.22 GeV/c2 in comparison to the first-order model result of 6.88 GeV/c2. Using the first-order mass formula approach, both candidate tetraquarks states have primitive Jπ = 1¯ x 0 x 1¯ = 0+, 1+, 2+ configurations. The model is not sufficiently detailed to refine these assignments. No spin and parity assignments are noted by the ATLAS Collaboration.