pi pi scattering in a nonlocal Nambu -- Jona-Lasinio model
| dc.creator | Osipov, A. A. | |
| dc.creator | Radzhabov, A. E. | |
| dc.creator | Volkov, M. K. | |
| dc.date | 2006-03-17 | |
| dc.date.accessioned | 2026-07-07T07:06:08Z | |
| dc.date.available | 2026-07-07T07:06:08Z | |
| dc.description | We consider a nonlocal version of the Nambu and Jona-Lasinio model. The nonlocality is contained in the quark-antiquark bilinears of the four-quark vertices as a form factor of the Gaussian type. The model has three parameters which can be fixed in favour of the values of the pion mass, the pion decay constant f_pi, and the current quark mass. The pi pi scattering amplitude is obtained by calculating the quark box and the sigma-pole diagrams, where sigma is the scalar isoscalar meson. It is shown that this amplitude satisfies the well-known Weinberg relation. We obtain the s, p, d wave scattering lengths in all isotopic channels and the s wave slope parameters. The results are in satisfactory agreement with both phenomenological data and the basic requirements of low-energy theorems, thus supporting to the form factor used. | |
| dc.description | 12 pages, 2 figures | |
| dc.identifier | https://arxiv.org/abs/hep-ph/0603130 | |
| dc.identifier | http://arxiv.org/abs/hep-ph/0603130 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/109914 | |
| dc.subject | High Energy Physics - Phenomenology | |
| dc.title | pi pi scattering in a nonlocal Nambu -- Jona-Lasinio model | |
| dc.type | text |