Relativistic corrections to the exclusive decays of C-even bottomonia into S-wave charmonium pairs
- Authors
- Sang, Wen-Long; Rashidin, Reyima; Kim, U-Rae; Lee, Jungil
- Issue Date
- 17-10월-2011
- Publisher
- AMER PHYSICAL SOC
- Citation
- PHYSICAL REVIEW D, v.84, no.7
- Indexed
- SCIE
SCOPUS
- Journal Title
- PHYSICAL REVIEW D
- Volume
- 84
- Number
- 7
- URI
- https://scholar.korea.ac.kr/handle/2021.sw.korea/111364
- DOI
- 10.1103/PhysRevD.84.074026
- ISSN
- 1550-7998
- Abstract
- Within the nonrelativistic quantum chromodynamics (NRQCD) factorization formalism, we compute the relativistic corrections to the exclusive decays of bottomonia with even charge conjugation parity into S-wave charmonium pairs at leading order in the strong coupling constant. Relativistic corrections are resummed for a class of color-singlet contributions to all orders in the charm-quark velocity v(c) in the charmonium rest frame. Almost every process that we consider in this work has negative relativistic corrections ranging from -20 to -35%. Among the various processes, the relativistic corrections of the next-to-leading order in v(c) to the decay rate for chi(b2) -> eta(c)(mS) + eta(c)(nS) with m, n = 1 or 2 are very large. In every case, the resummation of the relativistic corrections enhances the rate in comparison with the next-to-leading-order results. We compare our results with available predictions based on the NRQCD factorization formalism. The NRQCD predictions are significantly smaller than those based on the light-cone formalism by 1 or 2 orders of magnitude.
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