Phys. Rev. D 64, 036002 (2001) [10 pages]

Power counting and effective field theory for charmonium

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Sean Fleming and I. Z. Rothstein
Department of Physics, Carnegie Mellon University, Pittsburgh, Pennsylvania 15213

Adam K. Leibovich
Theory Group, Fermilab, P.O. Box 500, Batavia, Illinois 60510

Received 18 December 2000; published 2 July 2001

We hypothesize that the correct power counting for charmonia is in the parameter ΛQCD/mc, but is not based purely on dimensional analysis (as is heavy quark effective theory). This power counting leads to predictions which differ from those resulting from the usual velocity power counting rules of non-relativistic QCD (NRQCD). In particular, we show that while ΛQCD/mc power counting preserves the empirically verified predictions of spin symmetry in decays, it also leads to new predictions which include a hierarchy between spin singlet and triplet octet matrix elements in the J/ψ system, a quenching of the net polarization in production at large transverse momentum, and no end point enhancement in radiative decays. We discuss explicit tests which can differentiate between the traditional and new theories of NRQCD.


©2001 The American Physical Society

URL: http://link.aps.org/abstract/PRD/v64/e036002
DOI: 10.1103/PhysRevD.64.036002
PACS: 11.15.Tk

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