Faddeev calculation of the pentaquark {theta}{sup +} in the Nambu-Jona-Lasinio model-based diquark picture

Journal Article · Thu May 15 00:00:00 EDT 2008 · Physical Review. C, Nuclear Physics

DOI:https://doi.org/10.1103/PHYSREVC.77.055203· OSTI ID:21190009

Mineo, H ^[1]; Tjon, J A ^[1]; Tsushima, K ^[2]; Yang, S N ^[1]

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1. Department of Physics, National Taiwan University, Taipei 10617, Taiwan (China)
2. National Center for Theoretical Sciences, Taipei, Taipei 10617, Taiwan (China)

A Bethe-Salpeter-Faddeev (BSF) calculation is performed for the pentaquark {theta}{sup +} in the diquark picture of Jaffe and Wilczek in which {theta}{sup +} is a diquark-diquark-s three-body system. The Nambu-Jona-Lasinio (NJL) model is used to calculate the lowest order diagrams in the two-body scatterings of sD and DD. With the use of coupling constants determined from the meson sector, we find that sD interaction is attractive in s-wave while the DD interaction is repulsive in the p-wave. With only the lowest three-body channel considered, we do not find a bound (1/2){sup +} pentaquark state. Instead, a bound pentaquark {theta}{sup +} with (1/2){sup -} is obtained with unphysically strong vector mesonic coupling constants.

• OSTI ID: 21190009
• Journal Information: Physical Review. C, Nuclear Physics, Vol. 77, Issue 5; Other Information: DOI: 10.1103/PhysRevC.77.055203; (c) 2008 The American Physical Society; Country of input: International Atomic Energy Agency (IAEA); ISSN 0556-2813
• Country of Publication: United States
• Language: English

Related Subjects

72 PHYSICS OF ELEMENTARY PARTICLES AND FIELDS
BETHE-SALPETER EQUATION
BOUND STATE
COUPLING CONSTANTS
FADDEEV EQUATIONS
HYPERONS
MESON-MESON INTERACTIONS
MESONS
P WAVES
QUANTUM CHROMODYNAMICS
QUARK MODEL
RESONANCE
S WAVES
SCATTERING
THREE-BODY PROBLEM
TWO-BODY PROBLEM