J/ψ inclusive production in χ<SUB>bJ</SUB>(<EM>nP</EM>) decays

LI Rong; HE Zhi-Guo

doi:10.1088/1674-1137/34/7/001

Chinese Physics C> 2010, Vol. 34> Issue(7) : 929-936 DOI: 10.1088/1674-1137/34/7/001

J/ψ inclusive production in χ_bJ(nP) decays

LI Rong ,
HE Zhi-Guo ^,

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Abstract：
We study J/ψ inclusive production in the decays of P-wave bottomonium χ_bJ(1P,2P) for J=0,1,2. Within the framework of the non-relativistic QCD (NRQCD) factorization method we calculate the contributions coming from four relevant processes including one color-singlet process and three color-octet ones, which are bb(³P_J, 1)→cc(³S₁,8)+c+c, bb(³S₁,8)→cc(³S₁,1)+g+g, bb(³S₁,8)→cc(³S₁,1)+c+c and bb(³S₁,8)→cc(³S₁,8)+g. Our calculation shows that the color-octet processes, especially the gluon fragmentation one, contribute the most in the decays of χ_b0 and χ_b1. However, the J/ψ production in the χ_b2 decay is dominated by the color-singlet process. Furthermore, the gluon fragmentation process gives a δ function in the energy fraction distribution of J/ψ, which can be considered to be another characteristic for its identification. From our estimation the branching ratio for these processes is about 10^－4－10^－5, which indicates that J/ψ inclusive production is detectable at B-factories. Studying these processes would help us to gain a deeper understanding of the color-octet mechanism.

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LI Rong and HE Zhi-Guo. J/ψ inclusive production in χ_bJ(nP) decays[J]. Chinese Physics C, 2010, 34(7): 929-936. doi: 10.1088/1674-1137/34/7/001

LI Rong and HE Zhi-Guo. J/ψ inclusive production in χ_bJ(nP) decays[J]. Chinese Physics C, 2010, 34(7): 929-936. doi: 10.1088/1674-1137/34/7/001 shu

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Received: 2009-06-15
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J/ψ inclusive production in χ_bJ(nP) decays

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J/ψ inclusive production in χbJ(nP) decays

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J/ψ inclusive production in χ_bJ(nP) decays

J/ψ inclusive production in χ_bJ(nP) decays