Published November 2007 | Version v1
Journal article Metadata-only

A Faddeev calculation for pentaquark Θ+ in diquark picture with Nambu-Jona-Lasinio type interaction

Creators

  • 1. Dept. of Physics, National Taiwan Univ., Taipei, Taiwan (China)
  • 2. National Center for Theoretical Sciences, National Taiwan Univ., Taipei, 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-bar three-body system. Nambu-Jona-Lasinio (NJL) model is used to calculate the lowest order diagrams in the two-body scatterings of s-barD and DD. With the use of coupling constants determined from the meson sector, we find that s-barD interaction is attractive while DD interaction is repulsive. However, we cannot find a bound 1/2+ pentaquark state. Instead, a bound pentaquark Θ+ in 1/2- channel is obtained with unphysically strong vector mesonic coupling constants. (author)

Additional details

Publishing Information

Journal Title
Progress of Theoretical Physics, Supplement
Journal Issue
no.168
Journal Page Range
p. 111-114
ISSN
0375-9687

Conference

Title
14. Yukawa international seminar. New frontiers in QCD
Acronym
YKIS 2006
Dates
20 Nov - 8 Dec 2007
Place
Kyoto (Japan)

INIS

Country of Publication
Japan
Country of Input or Organization
Japan
INIS RN
39035391
Subject category
S72: PHYSICS OF ELEMENTARY PARTICLES AND FIELDS;
Resource subtype / Literary indicator
Conference
Descriptors DEI
BETHE-SALPETER EQUATION; BLANKENBECLER-SUGAR EQUATIONS; BOUND STATE; CHIRALITY; COLOR MODEL; COUPLING CONSTANTS; FADDEEV EQUATIONS; LAGRANGIAN FUNCTION; QUANTUM CHROMODYNAMICS; QUARK-QUARK INTERACTIONS; QUARKS; SCATTERING; SOLITONS; SUM RULES; THREE-BODY PROBLEM; TWO-BODY PROBLEM
Descriptors DEC
COMPOSITE MODELS; EQUATIONS; FERMIONS; FIELD THEORIES; FUNCTIONS; INTEGRAL EQUATIONS; INTERACTIONS; MANY-BODY PROBLEM; MATHEMATICAL MODELS; PARTICLE INTERACTIONS; PARTICLE MODELS; PARTICLE PROPERTIES; QUANTUM FIELD THEORY; QUARK MODEL; QUASI PARTICLES

Optional Information

Notes
9 refs., 3 figs.