Ghost poles and chiral symmetry in $πN$ scattering
| dc.creator | da Rocha, C. A. | |
| dc.creator | Krein, G. | |
| dc.creator | Wilets, L. | |
| dc.date | 1996-08-27 | |
| dc.date | 1996-09-16 | |
| dc.date.accessioned | 2026-07-07T09:03:19Z | |
| dc.date.available | 2026-07-07T09:03:19Z | |
| dc.description | We solve the Schwinger-Dyson equation for the nucleon propagator in the vacuum using $π$, $σ$, and $ω$ mesons. For bare interaction vertices (Hartree-Fock approximation) we obtain a pair of complex-conjugated poles (ghost poles) and for vertices dressed by phenomenological form-factors these ghosts disappeared. We use these two different approaches to evaluate the scattering lengths and the phase shifts for the $πN$ scattering at threshold. Our results show that only when the form factors are present is possible to obtain a good agreement with the low-energy observables. | |
| dc.description | 6 pages, 4 embedded figures, Latex 2.09, Revtex.sty, epsf.sty. Contribution presented at the 14th International Conference on Particles and Nuclei (PANIC 96), Williamsburg, VA, 22-28 May 1996 | |
| dc.identifier | https://arxiv.org/abs/hep-ph/9608455 | |
| dc.identifier | http://arxiv.org/abs/hep-ph/9608455 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/148966 | |
| dc.subject | High Energy Physics - Phenomenology | |
| dc.subject | Nuclear Theory | |
| dc.title | Ghost poles and chiral symmetry in $πN$ scattering | |
| dc.type | text |