Leptonic decay rates of charmoniumSandDstates

Abstract

We calculate the leptonic decay rates of the {sup 3}S{sub 1} and the {sup 3}D{sub 1} states of charmonium including their relativistic and single gluonic radiative corrections within the framework of a nonsingular potential model proposed by Gupta, Johnson, Repko, and Suchyta. We find that the relativistic corrections and the single gluonic radiative corrections are both significant. But single gluonic radiative corrections are significantly smaller than the well-known static limit results. Since we work in a formalism where the quarks are assumed to be on mass shell, there is some ambiguity about treating the infrared divergent part of the radiative correction terms. {copyright} {ital 1997} {ital The American Physical Society}