${}^1{P}_1$ charmonium state decay into $p\bar{p}$ in QCD models including constituent quark mass corrections

Abstract

Stimulated by the experimental observation, made by the E760 Collaboration at Fermilab, of the ${}^1{P}_1$ state of charmonium resonantly formed in $p\bar{p}$ annihilation, we perform a calculation of the decay width for the ${}^1{P}_1\to p\bar{p}$ process. To this end, we employ a phenomenological model which adds constituent quark mass corrections to the usual massless QCD models for exclusive processes. For massless models, in fact, the process under consideration is forbidden by the so-called helicity selection rules, while it is allowed in our extended model. We find $\Gamma {(}^1{P}_1\to p\bar{p})$ to be in the range $1-10$ eV. We also compare our results with previous, indirect estimates, based on QCD multipole expansion models.

Comments: 17 pages, REVTeX 3.0, 1 postscript figure included. Revised version, to be published in Physical Review D. Brief discussion of the role of other nonperturbative effects and three references added in the introduction; Comparison with QCD multipole expansion model slightly reformulated; Some sentences added in the conclusions; Results unchanged