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RESEARCH PRODUCT

A STUDY OF THE πN SCATTERING DATA WITH JP = 3/2- AND A PROOF OF THE EXISTENCE OF THE N*(1700)

Ju-jun XieE. J. GarzonEulogi Oset

subject

CombinatoricsAngular momentumScatteringResonanceGauge (firearms)Connection (algebraic framework)Unitary stateComplex planeMathematical physicsMathematicsFree parameter

description

Using an interaction extracted from the local hidden gauge Lagrangians and the coupled channels ρN (s-wave), πN (d-wave), πΔ (s-wave) and πΔ (d-wave), we look in the region of [Formula: see text] and we find two resonances dynamically generated which are naturally associated to the N*(1520)(3/2-) and N*(1700)(3/2-). The N*(1700)(3/2-) appears neatly as a pole in the complex plane. The free parameters of the theory are chosen to fit the πN (d-wave) data. The unitary coupled channel approach followed here, in connection with the experimental data, leads automatically to a pole in the 1700 MeV region and makes this second 3/2- resonance unavoidable.

https://doi.org/10.1142/s2010194514600611