ηb decay into charmonium in association with cc pair

  • We calculate the inclusive decay rates of ηb into charmonium via double cc pairs for S- and P-wave states ηc, J/ψ and χcJ within the framework of non-relativistic QCD (NRQCD) factorization at leading order in αs. Besides calculating the contributions of the color-singlet channels ηb→cc[2S+1SL(1)]+cc, the effects of cc pair in the color-octet configurations are also considered. We find that ηb→cc[3S1(8)]+cc make a small contribution to Brb→J/ψ(ηc)+cc). While in the ηb→χcJ+cc case, the color octet contributions are significant, for they are of the same αs4 vc5 order as the color-singlet processes. We predict Brb→J/ψ(ηc)+cc)=2.99(2.75)×10-5 for S-wave states J/ψ and ηc, and Brb→χcJ+cc)=(4.37,3.40,2.83)×10-5 (for J=0,1,2) for P-wave states χcJ. In the end, we also find Brb→cccc) is almost saturated by ηb decay into charmonium in association with cc pair from the point of view of duality.

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LI Bai-Qing, LI Rong and HE Zhi-Guo. ηb decay into charmonium in association with cc pair[J]. Chinese Physics C, 2010, 34(5): 521-527. doi: 10.1088/1674-1137/34/5/001
LI Bai-Qing, LI Rong and HE Zhi-Guo. ηb decay into charmonium in association with cc pair[J]. Chinese Physics C, 2010, 34(5): 521-527.  doi: 10.1088/1674-1137/34/5/001 shu
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Received: 2009-06-11
Revised: 2009-06-26
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ηb decay into charmonium in association with cc pair

    Corresponding author: HE Zhi-Guo,

Abstract: 

We calculate the inclusive decay rates of ηb into charmonium via double cc pairs for S- and P-wave states ηc, J/ψ and χcJ within the framework of non-relativistic QCD (NRQCD) factorization at leading order in αs. Besides calculating the contributions of the color-singlet channels ηb→cc[2S+1SL(1)]+cc, the effects of cc pair in the color-octet configurations are also considered. We find that ηb→cc[3S1(8)]+cc make a small contribution to Brb→J/ψ(ηc)+cc). While in the ηb→χcJ+cc case, the color octet contributions are significant, for they are of the same αs4 vc5 order as the color-singlet processes. We predict Brb→J/ψ(ηc)+cc)=2.99(2.75)×10-5 for S-wave states J/ψ and ηc, and Brb→χcJ+cc)=(4.37,3.40,2.83)×10-5 (for J=0,1,2) for P-wave states χcJ. In the end, we also find Brb→cccc) is almost saturated by ηb decay into charmonium in association with cc pair from the point of view of duality.

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