Inclusive decays χ_{b0,2}->ψD\bar D+X and the duality relation

Abstract

In this article we consider the three-particle decays ${\chi }_{b0,2}\to J/\psi c\bar{c}\to J/\psi D\bar{D}+X$. We present the analytical formulae for the differential widths of these decays, the numerical values of their integrated widths and check the duality relation that connects the decays ${\chi }_{b0,2}\to \psi c\bar{c}$ with the two-particle decays ${\chi }_{b0,2}\to J/\psi (c\bar{c})$. We also study the possibility of observing the ${\chi }_{b0,2}\to J/\psi DD+X$ mode at Tevatron and LHC colliders.

8 pages, 3 figures; minor changes