Published May 2008 | Version v1
Journal article Metadata-only

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

Creators

  • 1. Institute of Applied Mechanics, National Taiwan University, Taipei 10617, Taiwan (China)
  • 2. Institute of Atomic and Molecular Sciences, Academia Sinica, P. O. Box 23-166, Taipei 10617, Taiwan (China)
  • 3. Department of Physics, National Taiwan University, Taipei 10617, Taiwan (China)
  • 4. KVI, University of Groningen (Netherlands)
  • 5. Thomas Jefferson National Accelerator Facility, Theory Center, Mail Stop 12H2, 12000 Jefferson Aveneu, Newport News, Virginia 23606 (United States)
  • 6. Grupo de Fisica Nuclear and IUFFyM, Universidad de Salamanca, E-37008 Salamanca (Spain)
  • 7. National Center for Theoretical Sciences, Taipei, Taipei 10617, Taiwan (China)

Description

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-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)+ pentaquark state. Instead, a bound pentaquark Θ+ with (1/2)- is obtained with unphysically strong vector mesonic coupling constants

Additional details

Identifiers

DOI
10.1103/PhysRevC.77.055203;
arXiv
arXiv:0710.0196v3;

Publishing Information

Journal Title
Physical Review. C, Nuclear Physics
Journal Volume
77
Journal Issue
5
Journal Page Range
p. 055203-055203.12
ISSN
0556-2813
CODEN
PRVCAN

INIS

Country of Publication
United States
Country of Input or Organization
International Atomic Energy Agency (IAEA)
INIS RN
40062271
Subject category
S72: PHYSICS OF ELEMENTARY PARTICLES AND FIELDS;
Descriptors DEI
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
Descriptors DEC
BARYONS; BOSONS; COMPOSITE MODELS; ELEMENTARY PARTICLES; EQUATIONS; FERMIONS; FIELD THEORIES; HADRON-HADRON INTERACTIONS; HADRONS; INTERACTIONS; MANY-BODY PROBLEM; MATHEMATICAL MODELS; PARTIAL WAVES; PARTICLE INTERACTIONS; PARTICLE MODELS; QUANTUM FIELD THEORY; STRANGE PARTICLES

Optional Information

Notes
(c) 2008 The American Physical Society