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

Journal Article · Tue Aug 01 04:00:00 EDT 1978 · Phys. Rev., D; (United States)

DOI:https://doi.org/10.1103/PhysRevD.18.791· OSTI ID:6691552

Pasupathy, J; Singh, C A

The strong-interaction part of the amplitude for J/psi 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 psi ..-->.. rho..pi.. we use SU(4) symmetry for the connected vertices and find a suppression factor of the order of 10/sup -4/ for g/sub psirhopi/ as compared to g/sub omegarhopi/. Assuming a mass splitting of 100 MeV for m/sub F/ - m/sub D/ and m/sub F/* - m/sub D/* 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 psi ..-->.. rho/sup +/..pi../sup -/ and psi ..-->.. K*/sup +/K/sup -/ 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 psi ..-->.. KK-bar. Related matters such as SU(3) symmetry in the decays of chi states and comparison of psi' ..-->.. psieta, psi' ..-->.. rho..pi.., and psi ..-->.. rho..pi.. are also discussed.

• Research Organization: Center for Theoretical Studies, Indian Institute of Science, Bangalore 560012, India
• OSTI ID: 6691552
• Journal Information: Phys. Rev., D; (United States), Journal Name: Phys. Rev., D; (United States) Vol. 18:3; ISSN PRVDA
• Country of Publication: United States
• Language: English

Related Subjects

645303* -- High Energy Physics-- Particle Invariance Principles & Symmetries-- Applications to Strong Interactions-- (-1987)
72 PHYSICS OF ELEMENTARY PARTICLES AND FIELDS
ALGEBRAIC CURRENTS
AMPLITUDES
ANNIHILATION
BASIC INTERACTIONS
BOSONS
BOUND STATE
CHARM PARTICLES
COMPOSITE MODELS
COUPLING CONSTANTS
CURRENTS
DECAY
DECAY AMPLITUDES
DISPERSION RELATIONS
ELECTROMAGNETIC INTERACTIONS
ELECTRON-POSITRON INTERACTIONS
ELEMENTARY PARTICLES
HADRONS
HAMILTONIANS
INTERACTIONS
LEPTON-LEPTON INTERACTIONS
LIE GROUPS
MASS FORMULAE
MATHEMATICAL MODELS
MATHEMATICAL OPERATORS
MATRIX ELEMENTS
MESON RESONANCES
MESONS
PARTICLE INTERACTIONS
PARTICLE MODELS
POSTULATED PARTICLES
PSI RESONANCES
PSI-3105 RESONANCES
PSI-3695 RESONANCES
QUANTUM NUMBERS
QUANTUM OPERATORS
QUARK MODEL
RESONANCE PARTICLES
SU GROUPS
SU-3 GROUPS
SU-4 GROUPS
SYMMETRY BREAKING
SYMMETRY GROUPS
TRANSITION AMPLITUDES
UNITARITY
VECTOR CURRENTS
VECTOR MESONS