Physics – High Energy Physics – High Energy Physics - Phenomenology
Scientific paper
2011-08-03
Physics
High Energy Physics
High Energy Physics - Phenomenology
16 pages, 2 figures, published version. arXiv admin note: text overlap with arXiv:0912.5498 and arXiv:hep-ph/0611130v2
Scientific paper
10.1103/PhysRevD.84.094031
We calculate the order-v^2 relativistic correction of J/\psi, including electromagnetic correction, to \chi_{bJ}-> J/\psi J/\psi, 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 \chi_{b0} and \chi_{b2}. The total branching ratios are predicted to be of order 10^{-5} for \chi_{b0,b2}-> J/\psi J/\psi, but 10^{-11} for \chi_{b1}-> J/\psi J/\psi, 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 \chi_{cJ}-> \omega\omega,\phi\phi) in the constituent quark model by our formula at the leading-order of relativistic correction and electromagnetic correction. The obtained branch ratio of \chi_{c0,2}-> \phi\phi is in agreement with the experimental measurement in the order of magnitude.
Dong Hairong
Feng Feng
Zhang Juan
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