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Title: Melosh symmetries of vector-meson decays and a criterion for rapid convergence of semilocal averages. [Amplitude zero, mass splitting, scalar couplings, su(6) groups]

Journal Article · · Phys. Rev., D; (United States)

The rapid t = 0 convergence of the classic superconvergence relation rho..pi.. ..-->.. rho..pi.. and its SU(6) generalizations VM ..-->.. VM (V = vector nonet, M = pseudoscalar or vector nonet) is reexamined. It is suggested that the rapid convergence is due to a zero of the amplitude in t (crossed-channel energy) rather than the rapid falloff of the amplitude with s (''superconvergence'' in s), as is usually assumed. In a separate investigation involving only symmetry arguments, we find that the Melosh-transform parameterization for decays to VV states involves only two undetermined scalar couplings, rather than the four (six) required in related processes involving vector particles, B* ..-->.. B..gamma.. (B* ..-->.. BV) decays, where B is a decuplet or octuplet baryon. A critical discussion is given of the Gilman-Kugler-Meshkov and related prescriptions used to correct SU(6) -symmetric couplings for the effects of mass splitting. (AIP)

Research Organization:
Department of Physics, Temple University, Philadelphia, Pennsylvania 19122
OSTI ID:
7356177
Journal Information:
Phys. Rev., D; (United States), Vol. 14:3
Country of Publication:
United States
Language:
English