The $N^*(1710)$ as a resonance in the $ππN$ system
| dc.creator | Khemchandani, K. P. | |
| dc.creator | Torres, A. Martínez | |
| dc.creator | Oset, E. | |
| dc.date | 2008-04-29 | |
| dc.date.accessioned | 2026-07-07T11:50:23Z | |
| dc.date.available | 2026-07-07T11:50:23Z | |
| dc.description | We study the $ππN$ system by solving the Faddeev equations, for which the input two-body $t$-matrices are obtained by solving the Bethe-Salpeter equation in the coupled channel formalism. The potentials for the $ππ$, $πN$ sub-systems and their coupled channels are obtained from chiral Lagrangians, which have been earlier used to study resonances in these systems successfully. In this work, we find a resonance in the $ππN$ system with a mass of $1704 - i 375/2$ MeV and with quantum numbers $I=1/2$, $J^π=1/2^+$. We identify this state with the $N^*(1710)$. This peak is found where the energies of the $ππ$ sub-system fall in the region of the $σ$ resonance. We do not find evidence for the Roper resonance in our study indicating a more complex structure for this resonance, nor for any state with total isospin $I=3/2$ or $5/2$. | |
| dc.identifier | https://arxiv.org/abs/0804.4670 | |
| dc.identifier | http://arxiv.org/abs/0804.4670 | |
| dc.identifier | Eur.Phys.J.A37:233-243,2008 | |
| dc.identifier | doi:10.1140/epja/i2008-10625-3 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/203546 | |
| dc.subject | Nuclear Theory | |
| dc.title | The $N^*(1710)$ as a resonance in the $ππN$ system | |
| dc.type | text |