Year: 2007
Type: article
Abstract: We extend the $1/{N}_{c}$ expansion meson-baryon scattering formalism to cases in which the final state contains more than two particles. We first show that the leading-order large ${N}_{c}$ processes proceed through resonant intermediate states (e.g., $\ensuremath{\rho}N$ or $\ensuremath{\pi}\ensuremath{\Delta}$). We then tabulate linear amplitude expressions for relevant processes and find that the pole structure of baryon resonances can be uniquely identified by their (non)appearance in $\ensuremath{\eta}N$ or mixed partial-wave $\ensuremath{\pi}\ensuremath{\Delta}$ final states. We also show that quantitative predictions of $\ensuremath{\pi}N$ to $\ensuremath{\pi}\ensuremath{\Delta}$ branching ratios predicted at leading order alone do not agree with measurements, but the inclusion of $1/{N}_{c}$ corrections is ample to explain the discrepancies.
Authors: Herry J. Kwee, Richard F. Lebed
Institution: Arizona State University
Language: English
Subfield: Nuclear and High Energy Physics
Field: Physics and Astronomy
Domain: Physical Sciences
Open Access status: green
Funder: National Science Foundation
OpenAlex ID: W2019638211