Color SU(3) symmetry, confinement, stability, clustering and quark mass dependence in the q{sup 4}q system
Abstract
We examine the color SU(3) dynamics of q{sup 4}q system, i.e. of the pentaquark. First we study this system in the model with twobody interaction proportional to the color charges. We construct the potential matrix and show, (1) Confinement: the color singlet qq potential energy rises infinitely with the separation distance, (2) Stability: All colorless states' energies are bounded from below (3) Color singlet clustering: the pentaquark colorsinglet state Hamiltonian turns into a sum of a threequark (baryon) and a quarkantiquark (meson) cluster Hamiltonian, in the limit of asymptotically large separations. We evaluate the four excitation eigenfrequencies of pentaquarks in the harmonic oscillator twobody confining potential and the ground states' dependence on the quarkantiquark mass ratio. We show that the pentaquark is unlikely to bind even with a top antiquark, in contrast to tetraquarks.
 Authors:
 Vinca Institute of Nuclear Sciences, lab 010, P.O. Box 522, 11001 Belgrade (Serbia and Montenegro)
 Publication Date:
 OSTI Identifier:
 20776656
 Resource Type:
 Journal Article
 Resource Relation:
 Journal Name: Physical Review. D, Particles Fields; Journal Volume: 73; Journal Issue: 3; Other Information: DOI: 10.1103/PhysRevD.73.034014; (c) 2006 The American Physical Society; Country of input: International Atomic Energy Agency (IAEA)
 Country of Publication:
 United States
 Language:
 English
 Subject:
 72 PHYSICS OF ELEMENTARY PARTICLES AND FIELDS; BARYONS; COLOR MODEL; DISTANCE; EIGENFREQUENCY; EXCITATION; GROUND STATES; HAMILTONIANS; HARMONIC OSCILLATORS; MESONS; PARTICLE INTERACTIONS; POTENTIAL ENERGY; POTENTIALS; QUARKS; REST MASS; STABILITY; SU3 GROUPS; TWOBODY PROBLEM
Citation Formats
Dmitrasinovic, V. Color SU(3) symmetry, confinement, stability, clustering and quark mass dependence in the q{sup 4}q system. United States: N. p., 2006.
Web. doi:10.1103/PhysRevD.73.034014.
Dmitrasinovic, V. Color SU(3) symmetry, confinement, stability, clustering and quark mass dependence in the q{sup 4}q system. United States. doi:10.1103/PhysRevD.73.034014.
Dmitrasinovic, V. Wed .
"Color SU(3) symmetry, confinement, stability, clustering and quark mass dependence in the q{sup 4}q system". United States.
doi:10.1103/PhysRevD.73.034014.
@article{osti_20776656,
title = {Color SU(3) symmetry, confinement, stability, clustering and quark mass dependence in the q{sup 4}q system},
author = {Dmitrasinovic, V.},
abstractNote = {We examine the color SU(3) dynamics of q{sup 4}q system, i.e. of the pentaquark. First we study this system in the model with twobody interaction proportional to the color charges. We construct the potential matrix and show, (1) Confinement: the color singlet qq potential energy rises infinitely with the separation distance, (2) Stability: All colorless states' energies are bounded from below (3) Color singlet clustering: the pentaquark colorsinglet state Hamiltonian turns into a sum of a threequark (baryon) and a quarkantiquark (meson) cluster Hamiltonian, in the limit of asymptotically large separations. We evaluate the four excitation eigenfrequencies of pentaquarks in the harmonic oscillator twobody confining potential and the ground states' dependence on the quarkantiquark mass ratio. We show that the pentaquark is unlikely to bind even with a top antiquark, in contrast to tetraquarks.},
doi = {10.1103/PhysRevD.73.034014},
journal = {Physical Review. D, Particles Fields},
number = 3,
volume = 73,
place = {United States},
year = {Wed Feb 01 00:00:00 EST 2006},
month = {Wed Feb 01 00:00:00 EST 2006}
}

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