J/ψ inclusive production in χbJ(nP) decays

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LI Rong and HE Zhi-Guo. J/ψ inclusive production in χbJ(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 χbJ(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
Revised: 2009-08-26
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J/ψ inclusive production in χbJ(nP) decays

    Corresponding author: HE Zhi-Guo,

Abstract: 

We study J/ψ inclusive production in the decays of P-wave bottomonium χbJ(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(3PJ, 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 χb0 and χb1. However, the J/ψ production in the χb2 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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