Faddeev calculation of pentaquark $Θ^+$ in the Nambu-Jona-Lasinio model-based diquark picture

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dc.creatorMineo, H.
dc.creatorTjon, J. A.
dc.creatorTsushima, K.
dc.creatorYang, Shin Nan
dc.date2007-10-01
dc.date2008-04-10
dc.date.accessioned2026-07-07T11:37:40Z
dc.date.available2026-07-07T11:37:40Z
dc.descriptionA 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 in s-wave while $DD$ interaction is repulsive in p-wave. With only the lowest three-body channel considered, we do not find a bound $ \frac 12^+$ pentaquark state. Instead, a bound pentaquark $Θ^+$ with $ \frac 12^-$ is obtained with a unphysically strong vector mesonic coupling constants.
dc.description22 pages, 11 figures, accepted version in Phys. Rev. C. Summary of main changes/corrections: 1. "which only holds at tree level" below the eq. (23) is added. 2. In the last paragraph of p.23 we added a remark that the coupling constant obtained from Lambda mass is different from the estimate as obtained from the meson spectrum
dc.identifierhttps://arxiv.org/abs/0710.0196
dc.identifierhttp://arxiv.org/abs/0710.0196
dc.identifierPhys.Rev.C77:055203,2008
dc.identifierdoi:10.1103/PhysRevC.77.055203
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/199282
dc.subjectHigh Energy Physics - Phenomenology
dc.subjectHigh Energy Physics - Experiment
dc.subjectNuclear Theory
dc.titleFaddeev calculation of pentaquark $Θ^+$ in the Nambu-Jona-Lasinio model-based diquark picture
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