A Faddeev Calculation for Pentaquark $Θ^+$ in Diquark Picture with Nambu-Jona-Lasinio Type Interaction
| dc.creator | Mineo, H. | |
| dc.creator | Tjon, J. A. | |
| dc.creator | Tsushima, K. | |
| dc.creator | Yang, S. N. | |
| dc.date | 2007-04-09 | |
| dc.date | 2007-10-16 | |
| dc.date.accessioned | 2026-07-07T11:40:57Z | |
| dc.date.available | 2026-07-07T11:40:57Z | |
| dc.description | A Bethe-Salpeter-Faddeev (BSF) calculation is performed for the pentaquark $Θ^+$ in the diquark picture of Jaffe and Wilczek in which $Θ^+$ is a diquark-diquark-${\bar s}$ three-body system. Nambu-Jona-Lasinio (NJL) model is used to calculate the lowest order diagrams in the two-body scatterings of ${\bar s}D$ and $D D$. With the use of coupling constants determined from the meson sector, we find that ${\bar s}D$ interaction is attractive while $DD$ interaction is repulsive, and there is no bound $\frac 12^+$ pentaquark state. A bound pentaquark $Θ^+$ can only be obtained with unphysically strong vector mesonic coupling constants. | |
| dc.description | 4 pages, 4 figures | |
| dc.identifier | https://arxiv.org/abs/0704.1072 | |
| dc.identifier | http://arxiv.org/abs/0704.1072 | |
| dc.identifier | Prog.Theor.Phys.Suppl.168:111-114,2007 | |
| dc.identifier | doi:10.1143/PTPS.168.111 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/200373 | |
| dc.subject | Nuclear Theory | |
| dc.subject | High Energy Physics - Phenomenology | |
| dc.title | A Faddeev Calculation for Pentaquark $Θ^+$ in Diquark Picture with Nambu-Jona-Lasinio Type Interaction | |
| dc.type | text |