Investigation of the stability for fully-heavy bc(h)over-bar(e)over-bar tetraquark states

We study the existence of fully-heavy hidden-flavor bc (b) over bar(c) over bar tetraquark states with various J(PC) = 0(+/-+),0(--), 1(+/-+/-),2(++), by using the moment QCD sum rule method augmented by fundamental inequalities. Using the moment sum rule analyses, our calculation shows that the masses for the S-wave positive parity bc (b) over bar(c) over bar tetraquark states are about 12.2-12.4 GeV in both [(3) over bar (c)]((b) over bar(c) over bar) circle times [(3) over bar (c)]((b) over bar(c) over bar) and [6(c)](bc) circle times [(6) over bar (c)]((b) over bar(c) over bar) color configuration channels. Except for two 0(++) states, such results are below the thresholds T-eta c eta b/T-gamma psi , and T-BcBc, implying that these S-wave positive parity bc (b) over bar(c) over bar tetraquark states are probably stable against the strong interaction. For the P-wave negative parity bc (b) over bar(c) over bar tetraquarks, their masses in the [(3) over bar (c)](bc) circle times [3(c)]((b) over bar(c) over bar) channel are around 12.9-13.2 GeV, while a bit higher in the [6(c)](bc) circle times [(6) over barc]((b) over bar(c) over bar) channel. They can decay into the c (c) over bar + b (b) over bar and c (b) over bar + b (c) over bar final states via the spontaneous dissociation mechanism, including the J/psi gamma, (eta c)gamma, J/psi eta(b), B(c)(+)b(c)(-) channels.

Automated summary

This study investigates the existence of fully-heavy hidden-flavor bc(b) over bar(c) over bar tetraquark states with various J(PC) values, and shows that these states may be stable under certain conditions. The analysis suggests that both S-wave positive parity and P-wave negative parity tetraquark states exhibit specific mass ranges and potential decay channels.