The K-matrix approach to the Delta - resonance mass splitting and isospin violation in low-energy pi-N scattering

Details The K-matrix approach to the Delta - resonance mass splitting and isospin violation in low-energy pi-N scattering The K-matrix approach to the Delta - resonance mass splitting and isospin violation in low-energy pi-N scattering

2004-08-17

arxiv.org/abs/hep-ph/0408192v3

Phys.Atom.Nucl.69:1542-1551,2006

Physics

High Energy Physics

High Energy Physics - Phenomenology

13 pages, 8 figures, Phys. At. Nucl. and Yad. Fiz.(2005)

Scientific paper

10.1134/S1063778806090122

The experimental data on pi N scattering in the elastic energy region T_pi < 250 MeV are analyzed within the multichannel K-matrix approach with effective Lagrangians. Isospin invariance is not assumed in this analysis and the physical values for masses of the involved particles are used. The corrections due to pi^+- pi^0 and p-n mass differences are calculated and found to be in a reasonable agreement with the NORDITA results. Analysis shows the good description of the all experimental observables. From the data, new values for mass and width of the Delta^0 and Delta^{++} resonances were obtained. The isospin symmetric version gives phase shifts values close to the new solution for the pi-N elastic scattering amplitude FA02 by the GW group based on the latest experimental data. Our analysis leads to a considerably smaller < 1% isospin violation in the energy interval T_pi ~ 30-70 MeV as compared to 7% in some older analyses, however, it does confirm recent calculations based on chiral perturbation theory.

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