A Faddeev Calculation for Pentaquark Θ+ in Diquark Picture with Nambu-Jona-Lasinio Type Interaction

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-\bars three-body system. Nambu-Jona-Lasinio (NJL) model is used to calculate the lowest order diagrams in the two-body scatterings of \barsD and...

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Bibliographic Details
Published inProgress of theoretical physics. Supplement Vol. 168; pp. 111 - 114
Main Authors Mineo, H., Tjon, J. A., Tsushima, Kazuo, Yang, Shin Nan
Format Journal Article
LanguageEnglish
Published Oxford University Press 01.01.2007
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Summary: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-\bars three-body system. Nambu-Jona-Lasinio (NJL) model is used to calculate the lowest order diagrams in the two-body scatterings of \barsD and DD. With the use of coupling constants determined from the meson sector, we find that \barsD interaction is attractive while DD interaction is repulsive. However, we cannot find a bound ½+ pentaquark state. Instead, a bound pentaquark Θ+ in ½- channel is obtained with unphysically strong vector mesonic coupling constants.
ISSN:0375-9687
DOI:10.1143/PTPS.168.111