Double charmonium production in exclusive bottomonia decays

Abstract

This paper is devoted to the leading twist exclusive bottomonia decays with double charmonium in the final state. Using models of the twist-2 charmonia distribution amplitudes the widths of these decays are calculated within light cone formalism. In addition, the processes under consideration are studied within nonrelativistic QCD. In our analysis we have found that the production of some of the $P$-wave charmonia mesons with $L_z \neq 0$ is allowed already at the leading twist approximation. This means that the selection rules which predict the suppression of such decays are violated. The mechanism which lies behind this violation is discussed.Comment: Minor changes, some references adde

Implications of LHCb measurements and future prospects

“…Based on the cross-sections and branching ratios given in Ref. [537], 500 (1500) fully reconstructed χ b0 (1P ) (χ b2 (1P )) are expected with the upgraded detector and these decays will be visible at LHCb. In the case of the η b state, several estimates exist, based on values of the branching ratio η b → J /ψJ /ψ ranging from 10 −6 to 10 −8 [538], corresponding to yields of 0.02 to 5 events.…”

The leading twist light-cone distribution amplitudes for the S-wave and P-wave quarkonia and their applications in single quarkonium exclusive productions

“…Many phenomenological applications along this line have been made for exclusive hard production of charmonium [7][8][9][10][11][12][13], exclusive charmonium production in B meson decays [14][15][16][17], etc. All of these applications require the understanding of the LCDAs for quarkonia.…”

Double charmonium production at B-factories and charmonium distribution amplitudes.

“…The answer to this question is given by Brodsky-Huang-Lepage (BHL) [6] by which one writes [3] Now the question arises: if the solution of the Schrödinger equation is known how is it possible to find DA?…”

“…The application of QCD sum rules for the study of DAs was developed by Chernyak and Zhitnitsky [1,9]. The details can be found in papers [3,4,5]. The details can be found in papers [3,4,5].…”