Faddeev calculation of pentaquark Theta+ in the Nambu-Jona-Lasinio model-based diquark picture

Mineo, Hirobumi; Tjon, John; Tsushima, Kazuo; Yang, Shin

doi:10.1103/PhysRevC.77.055203

Faddeev calculation of pentaquark Theta+ in the Nambu-Jona-Lasinio model-based diquark picture

Journal Article · Thu May 01 04:00:00 EDT 2008 · Physical Review C

DOI:https://doi.org/10.1103/PhysRevC.77.055203· OSTI ID:955890

Mineo, Hirobumi; Tjon, John; Tsushima, Kazuo; Yang, Shin

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 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 $$\Theta^+$$ with $$ \frac 12^-$$ is obtained with a unphysically strong vector mesonic coupling constants.

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Research Organization:: Thomas Jefferson Lab National Accelerator Facility

Sponsoring Organization:: USDOE

OSTI ID:: 955890

Report Number(s):: JLAB-THY-08-824; arXiv:0710.0196; DOE/OR/23177-0384

Journal Information:: Physical Review C, Journal Name: Physical Review C Vol. 77; ISSN 0556-2813; ISSN PRVCAN

Country of Publication:: United States

Language:: English

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