Internal Orbital Angular Momentum and Partial Decay Widths of Baryon Resonances

1 March 1973

journal article
Published by Oxford University Press (OUP) in Progress of Theoretical Physics

Vol. 49 (3) , 934-956
https://doi.org/10.1143/ptp.49.934

Abstract

The partial decay widths to Nπ, Γ_J^Δ(N), of the baryon resonances Δ_J(J^P=3/2⁺,7/2⁺,11/2⁺,…) and N_J(J^P=3/2^-,7/2^-,11/2^-,…) on the leading trajectory (without radial excitation) are analysed by the symmetric quark model. We notice that the internal spatial wave function of the baryon resonance on the leading trajectory is reasonably well expressible as a product of the kinematical factor and the factor depending on the interaction between quarks. For the latter factor, we adopt those of the harmonic oscillator model and some other simple types. The Γ_J, obtained in this way, shows that its J-dependence can be grasped as a result of L (internal orbital angular momentum) excitation of the composite system. The defect of the nonrelativistic approximation applied to the final nucleon emitted by the highly excited resonance is overcome by introducing the “least velocity frame” of the baryons, which improves the agreement with experiment better than the non-relativistic harmonic oscillator model in c.m.s.

Keywords

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