Exclusive decay of P-wave Bottomonium into double J/ψ

Abstract

We calculate the order-v^2 relativistic correction of J/ψ, including electromagnetic correction, to χ_{bJ}-> J/ψJ/ψ, in the framework of NRQCD factorization formula. The relativistic order-v^2 effect is found to increase the lower-order prediction for the decay width by about 10%, while the electromagnetism contribution is very small about 0.2% for χ_{b0} and χ_{b2}. The total branching ratios are predicted to be of order 10^{-5} for χ_{b0,b2}-> J/ψJ/ψ, but 10^{-11} for χ_{b1}-> J/ψJ/ψ, since there is only electromagnetism contribution in this channel. We predict it is possible to observe these reactions in LHC. Finally, we estimate the decay width and branch ratio of χ_{cJ}-> ωω,ϕϕ) in the constituent quark model by our formula at the leading-order of relativistic correction and electromagnetic correction. The obtained branch ratio of χ_{c0,2}-> ϕϕis in agreement with the experimental measurement in the order of magnitude.

16 pages, 2 figures, published version. arXiv admin note: text overlap with arXiv:0912.5498 and arXiv:hep-ph/0611130v2

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Cited by in corpus (10)

• The Physics of the B Factories
• Relativistic Corrections to the Exclusive Decays of C-even Bottomonia into S-wave Charmonium Pairs
• ${\chi }_{QJ}\to {\ell }^{+}{\ell }^{-}$ within and beyond the Standard Model
• Exclusive decay of ${\rm Y}$ into $J/\psi +{\chi }_{c0,1,2}$
• Search for double charmonium decays of the P-wave spin-triplet bottomonium states
• Evidence of ${\rm Y}(1S)\to J/\psi +{\chi }_{c1}$ and search for double-charmonium production in ${\rm Y}(1S)$ and ${\rm Y}(2S)$ decays
• NLO corrections to ${\chi }_{bJ}$ to two-$J/\psi$ exclusive decay processes
• Relativistic corrections to ${\rm Y}$ exclusive decay into double $S-$wave charmonia
• Experimental review of the ${\rm Y}(1S,2S,3S)$ physics at $e^{+}{e}^{-}$ colliders and the LHC
• Analytical calculation of heavy quarkonia production processes in computer