Exploring the Υ(6S)→χbJϕ and Υ(6S)→χbJω hidden-bottom hadronic transitions

Huang, Qi ( School of Physical Science and Technology, Lanzhou University, 730000, Lanzhou, China) ( Research Center for Hadron and CSR Physics, Lanzhou University and Institute of Modern Physics of CAS, 730000, Lanzhou, China) ; Wang, Bo ( School of Physical Science and Technology, Lanzhou University, 730000, Lanzhou, China) ( Research Center for Hadron and CSR Physics, Lanzhou University and Institute of Modern Physics of CAS, 730000, Lanzhou, China) ; Liu, Xiang ( School of Physical Science and Technology, Lanzhou University, 730000, Lanzhou, China) ( Research Center for Hadron and CSR Physics, Lanzhou University and Institute of Modern Physics of CAS, 730000, Lanzhou, China) ; Chen, Dian-Yong ( Department of Physics, Southeast University, 210094, Nanjing, China) ; Matsuki, Takayuki ( Tokyo Kasei University, 1-18-1 Kaga, 173-8602, Itabashi, Tokyo, Japan) ( Theoretical Research Division, Nishina Center, RIKEN, 351-0198, Wako, Saitama, Japan)

17 March 2017

Abstract: In this work, we investigate the hadronic loop contributions to the Υ(6S)→χbJϕ(J=0,1,2) along with Υ(6S)→χbJω(J=0,1,2) transitions. We predict that the branching ratios of Υ(6S)→χb0ϕ , Υ(6S)→χb1ϕ and Υ(6S)→χb2ϕ are (0.68–4.62) ×10-6 , (0.50–3.43) ×10-6 , and (2.22–15.18) ×10-6 , respectively, and those of Υ(6S)→χb0ω , Υ(6S)→χb1ω and Υ(6S)→χb2ω are (0.15–2.81) ×10-3 , (0.63–11.68) ×10-3 , and (1.08–20.02) ×10-3 , respectively. Especially, some typical ratios, which reflect the relative magnitudes of the predicted branching ratios, are given, i.e., for Υ(6S)→χbJϕ transitions, R10ϕ=B[Υ(6S)→χb1ϕ]/B[Υ(6S)→χb0ϕ]≈0.74 , R20ϕ=B[Υ(6S)→χb2ϕ]/B[Υ(6S)→χb0ϕ]≈3.28 , and R21ϕ=B[Υ(6S)→χb2ϕ]/B[Υ(6S)→χb1ϕ]≈4.43 , and for Υ(6S)→χbJω transitions, R10ω=B[Υ(6S)→χb1ω]/B[Υ(6S)→χb0ω]≈4.11 , R20ω=B[Υ(6S)→χb2ω]/B[Υ(6S)→χb0ω]≈7.06 , and R21ω=B[Υ(6S)→χb2ω]/B[Υ(6S)→χb1ω]≈1.72 . With the running of BelleII in the near future, experimental measurement of these two kinds of transitions will be a potential research issue.


Published in: EPJC 77 (2017) 165
Published by: Springer/Società Italiana di Fisica
DOI: 10.1140/epjc/s10052-017-4726-8
License: CC-BY-3.0



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