Search for double charmonium decays of the P-wave spin-triplet bottomonium states

Abstract

Using a sample of 158 million ${\rm Y}(2S)$ events collected with the Belle detector, we search for the first time for double charmonium decays of the $P$-wave spin-triplet bottomonium states (${\rm Y}(2S)\to \gamma {\chi }_{bJ}$, $χ_{bJ} \to \jpsi \jpsi$, $\jpsi \psp$, $\psp \psp$ for J=0, 1, and 2). No significant ${\chi }_{bJ}$ signal is observed in the double charmonium mass spectra, and we obtain the following upper limits, $\BR(χ_{bJ} \to \jpsi \jpsi)<7.1\times 10^{-5}$, $2.7\times 10^{-5}$, $4.5\times 10^{-5}$, $\BR(χ_{bJ} \to \jpsi \psp)<1.2\times 10^{-4}$, $1.7\times 10^{-5}$, $4.9\times 10^{-5}$, $\BR(χ_{bJ} \to \psp \psp)<3.1\times 10^{-5}$, $6.2\times 10^{-5}$, $1.6\times 10^{-5}$ for J=0, 1, and 2, respectively, at the 90% confidence level. These limits are significantly lower than the central values (with uncertainties of 50% to 70%) predicted using the light cone formalism but are consistent with calculations using the NRQCD factorization approach.

arXiv comment7 pages, 4 figures, 1 table

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Cited by in corpus (8)

• Exclusive decay of ${\rm Y}$ into $J/\psi +{\chi }_{c0,1,2}$
• Evidence of ${\rm Y}(1S)\to J/\psi +{\chi }_{c1}$ and search for double-charmonium production in ${\rm Y}(1S)$ and ${\rm Y}(2S)$ decays
• NLO corrections to ${\chi }_{bJ}$ to two-$J/\psi$ exclusive decay processes
• Relativistic corrections to ${\rm Y}$ exclusive decay into double $S-$wave charmonia
• Experimental review of the ${\rm Y}(1S,2S,3S)$ physics at $e^{+}{e}^{-}$ colliders and the LHC
• Factorization, resummation and sum rules for heavy-to-light form factors
• Analytical calculation of heavy quarkonia production processes in computer
• Radiative $B_c$ meson decays $B_c\to \gamma u\bar{d}$