Quark models and the structure of theΔ(1232)resonance
- 1 April 1984
- journal article
- research article
- Published by American Physical Society (APS) in Physical Review D
- Vol. 29 (7), 1417-1423
- https://doi.org/10.1103/physrevd.29.1417
Abstract
We investigate the structure of the resonance within a model which contains pions () interacting with nucleons () and 's. With a (or ) vertex form factor obtained from quark models, we demonstrate explicitly that the perturbation series of scattering converges rapidly. Thus a crossing-symmetric solution to the scattering problem can be obtained reliably by perturbation expansion. We expand the scattering series to fourth order in renormalized coupling constants, and then the (3,3) phase shift is calculated using both and matrices. The contribution is found to be dominant in generating the observed resonance. Our calculation and results are compared with those of the cloudy bag model.
Keywords
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