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

Journal Article · · Physical Review. C, Nuclear Physics
 [1];  [1];  [2];  [1]
  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, Journal Name: Physical Review. C, Nuclear Physics Journal Issue: 5 Vol. 77; ISSN 0556-2813; ISSN PRVCAN
Country of Publication:
United States
Language:
English

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