Dynamics and SU(3) violation in J/ψ decays

Pasupathy, J. ; Singh, C. A. (1978) Dynamics and SU(3) violation in J/ψ decays Physical Review D - Particles, Fields, Gravitation and Cosmology, 18 (3). pp. 791-805. ISSN 1550-7998

Full text not available from this repository.

Official URL: http://prd.aps.org/abstract/PRD/v18/i3/p791_1

Related URL: http://dx.doi.org/10.1103/PhysRevD.18.791


The strong-interaction part of the amplitude for J/ψ decays into specific final hadronic states is computed by evaluating corrections arising from unitarity to the Okubo-Zweig-Iizuka rule. Dispersion relations for the relevant amplitudes are evaluated keeping only the contributions of charmed-hadron states to the absorptive part and assuming Regge asymptotic behavior for charmed hadrons→ ordinary hadrons. To obtain an estimate of the absolute magnitude of an amplitude such as ψ→ρ π we use SU(4) symmetry for the connected vertices and find a suppression factor of the order of 10-4 for gψ ρ π as compared to gω ρπ. Assuming a mass splitting of 100 MeV for mF-mD and mF-mD leads to dynamical breaking of SU(3) symmetry even if the couplings characterizing connected vertices obey SU(3) symmetry. If the latter circumstance is true, we estimate the ratio of the amplitudes ψ → ρ +π - and ψ→K+K- to be between 1.5 and 2. Such dynamical violation of SU(3) arising from mass splitting between charmed hadrons in the same SU(3) multiplet tends to cancel in ψ →KK- . Related matters such as SU(3) symmetry in the decays of χ states and comparison of ψ '→ψ η , ψ '→ρ π , and ψ →ρ π are also discussed.

Item Type:Article
Source:Copyright of this article belongs to The American Physical Society.
ID Code:58074
Deposited On:31 Aug 2011 12:35
Last Modified:31 Aug 2011 12:35

Repository Staff Only: item control page