Nonleptonic Bc decay rates from model independent relations

Abstract

Nonleptonic [Formula: see text] decays to [Formula: see text]-wave charmonia and light [Formula: see text], [Formula: see text], and [Formula: see text], [Formula: see text] mesons are analyzed using factorization. The hadronic form factors parametrizing the [Formula: see text] matrix elements are expressed in terms of universal functions at the leading order of an expansion in the relative velocity of the heavy quarks in the [Formula: see text] rest-frame and in [Formula: see text]. Several ratios of branching fractions are evaluated, and when experimental information can be used, single branching fractions are presented. Both the [Formula: see text] and [Formula: see text] charmonia are considered. If the exotic candidate state [Formula: see text] corresponds to [Formula: see text], it should be produced in nonleptonic [Formula: see text] decays with predicted abundances with respect to the other states in the charmonium [Formula: see text] spin four-plet.