eta b decay into charmonium in association with c(c)over-bar pair

We calculate the inclusive decay rates of rib into charmonium via double c (c) over bar pairs for S- and P-wave states eta c, J/Psi and XcJ within the framework of non-relativistic QCD (NRQCD) factorization at leading order in a. Besides calculating the contributions of the color-singlet channels eta(b)-> c (c) over bar (-)[S-2S+1(L)(1)]+c (c) over bar the effects of c (c) over bar pair) in the color-octet configurations are also considered. We find that eta b -> c (c) over bar (-)[S-3(1)(8)]+c (c) over bar make a small contribution to Br(eta b -> J/Psi(eta(c))+c (c) over bar). While in the eta(b)-> xcJ+c (c) over bar case, the color octet contributions are significant, for they are of the same alpha(4)(s)upsilon(5)(c) order as the color-singlet processes. We predict Br(eta(b)-> J/Psi)(eta(c))+c (c) over bar) = 2.99(2.75) x 10(-5) for S-wave states J/Psi) and eta(c), and Br(eta(b)-> c(c)over bar> (4.37, 3.40, 2.83) x 1.0(-5) (for J= 0, 1, 2) for P-wave states x,i. In the end, we also find Br(eta(b)-> c (c) over bar) is almost saturated by rib decay into charmonium in association with a; pair from the point of view of duality.Physics, NuclearPhysics, Particles & FieldsSCI(E)中国科技核心期刊(ISTIC)1ARTICLE5521-5273