S. Fleming et I. Maksymyk, HADRONIC J PSI PRODUCTION CALCULATED IN THE NRQCD FACTORIZATION FORMALISM/, Physical review. D. Particles and fields, 54(5), 1996, pp. 3608-3618
The NRQCD factorization formalism of Bodwin, Braaten, and Lepage presc
ribes how to write quarkonium production rates as a sum of products of
short-distance coefficients times nonperturbative long-distance NRQCD
matrix elements. We present a calculation of the inclusive cross sect
ion for hadronic psi production within the framework of the factorizat
ion formalism. Our method applies to the case in which the helicity of
the psi is not measured. In addition to the well-known color-singlet
production mechanisms, there are equally important mechanisms in which
the c (c) over bar pair that forms the J/psi is initially produced in
a color-octet state, in either a S-3(1), S-1(0), P-3(0), or P-3(2) an
gular-momentum configuration. In our presentation, we faithfully follo
w the ''matching'' procedure, thereby shedding light on the NRQCD fact
orization formalism. We determine the short-distance coefficients appe
aring in the factorization formula, and we point out how one may syste
matically include relativistic corrections in these calculations.