On the nature of the $Λ(1405)$ and $Λ(1670)$ from their $N_c$ behavior in chiral dynamics
| dc.creator | Roca, L. | |
| dc.creator | Hyodo, T. | |
| dc.creator | Jido, D. | |
| dc.date | 2008-04-08 | |
| dc.date.accessioned | 2026-07-07T11:33:32Z | |
| dc.date.available | 2026-07-07T11:33:32Z | |
| dc.description | We study the behavior with the number of colors ($N_c$) of the $Λ(1405)$ and $Λ(1670)$ resonances obtained dynamically within the chiral unitary approach. The leading order meson-baryon interaction, used as the kernel of the unitarization procedure, manifests a nontrivial $N_c$ dependence of the flavor SU(3) representation for baryons. As a consequence, the SU(3) singlet (or $\bar{K}N$) component of the $Λ(1405)$ states remains bound in the large $N_c$ limit, while the other components dissolve into the continuum. Introducing explicit SU(3) breaking, we obtain the $N_c$ dependence of the excitation energy, masses and widths of the physical $Λ(1405)$ and $Λ(1670)$ resonance. The $N_c$ behavior of the decay width is found to be different from the general counting rule for a $qqq$ state, indicating the dynamical origin of these resonances. | |
| dc.description | 29 pages, 8 figures | |
| dc.identifier | https://arxiv.org/abs/0804.1210 | |
| dc.identifier | http://arxiv.org/abs/0804.1210 | |
| dc.identifier | Nucl.Phys.A809:65-87,2008 | |
| dc.identifier | doi:10.1016/j.nuclphysa.2008.05.014 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/197927 | |
| dc.subject | High Energy Physics - Phenomenology | |
| dc.title | On the nature of the $Λ(1405)$ and $Λ(1670)$ from their $N_c$ behavior in chiral dynamics | |
| dc.type | text |