A Faddeev Calculation for Pentaquark $\Theta^+$ in Diquark Picture with Nambu-Jona-Lasinio Type Interaction
| Autor: | Mineo, H., Tjon, J. A., Tsushima, K., Yang, S. N. |
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| Rok vydání: | 2007 |
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| Zdroj: | Prog.Theor.Phys.Suppl.168:111-114,2007 |
| Druh dokumentu: | Working Paper |
| DOI: | 10.1143/PTPS.168.111 |
| Popis: | A Bethe-Salpeter-Faddeev (BSF) calculation is performed for the pentaquark $\Theta^+$ in the diquark picture of Jaffe and Wilczek in which $\Theta^+$ 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 $\Theta^+$ can only be obtained with unphysically strong vector mesonic coupling constants. Comment: 4 pages, 4 figures |
| Databáze: | arXiv |
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