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Title: Baryon-baryon bound state in a 2+1 lattice QCD model with two flavors and strong coupling

Abstract

We consider baryon-baryon bound states in SU(3) lattice QCD with two flavors, 2x2 spin matrices in 2+1 dimensions, and in an imaginary time formulation. For small hopping parameter 0<{kappa}<<1 and large glueball mass, we show the existence of an isospin 3/2 baryon, with asymptotic mass -3ln{kappa} and isolated dispersion curve. Baryon-baryon bound states of isospin zero and one are found with approximate binding energy {kappa}{sup 2}/8 and {kappa}{sup 2}/24, respectively, using a ladder approximation to a Bethe-Salpeter equation. The baryon-baryon interaction associated with the ladder approximation is an energy independent spatial range-one attractive potential with an O({kappa}{sup 2}) strength. The attractive potential does not have a meson exchange interpretation. Six-point gauge field correlations give rise to attraction and counterbalance the Pauli repulsion to give a vanishing zero-range potential. The overall range-one potential results from a complicated interaction between the isospin components of the constituent quarks of the baryons.

Authors:
;  [1]
  1. Departamento de Matematica, ICMC-USP, C.P. 668, 13560-970 Sao Carlos, SP (Brazil)
Publication Date:
OSTI Identifier:
20705775
Resource Type:
Journal Article
Journal Name:
Physical Review. D, Particles Fields
Additional Journal Information:
Journal Volume: 71; Journal Issue: 1; Other Information: DOI: 10.1103/PhysRevD.71.017503; (c) 2005 The American Physical Society; Country of input: International Atomic Energy Agency (IAEA); Journal ID: ISSN 0556-2821
Country of Publication:
United States
Language:
English
Subject:
72 PHYSICS OF ELEMENTARY PARTICLES AND FIELDS; BARYON-BARYON INTERACTIONS; BARYONS; BETHE-SALPETER EQUATION; BINDING ENERGY; BOSON-EXCHANGE MODELS; BOUND STATE; CORRELATIONS; DISPERSION RELATIONS; FLAVOR MODEL; GLUEBALLS; ISOSPIN; LADDER APPROXIMATION; LATTICE FIELD THEORY; MATRICES; POTENTIALS; QUANTUM CHROMODYNAMICS; QUARKS; RESONANCE PARTICLES; REST MASS; SPIN; STRONG-COUPLING MODEL; SU-3 GROUPS

Citation Formats

Faria da Veiga, Paulo A, and O'Carroll, Michael. Baryon-baryon bound state in a 2+1 lattice QCD model with two flavors and strong coupling. United States: N. p., 2005. Web. doi:10.1103/PhysRevD.71.017503.
Faria da Veiga, Paulo A, & O'Carroll, Michael. Baryon-baryon bound state in a 2+1 lattice QCD model with two flavors and strong coupling. United States. https://doi.org/10.1103/PhysRevD.71.017503
Faria da Veiga, Paulo A, and O'Carroll, Michael. Sat . "Baryon-baryon bound state in a 2+1 lattice QCD model with two flavors and strong coupling". United States. https://doi.org/10.1103/PhysRevD.71.017503.
@article{osti_20705775,
title = {Baryon-baryon bound state in a 2+1 lattice QCD model with two flavors and strong coupling},
author = {Faria da Veiga, Paulo A and O'Carroll, Michael},
abstractNote = {We consider baryon-baryon bound states in SU(3) lattice QCD with two flavors, 2x2 spin matrices in 2+1 dimensions, and in an imaginary time formulation. For small hopping parameter 0<{kappa}<<1 and large glueball mass, we show the existence of an isospin 3/2 baryon, with asymptotic mass -3ln{kappa} and isolated dispersion curve. Baryon-baryon bound states of isospin zero and one are found with approximate binding energy {kappa}{sup 2}/8 and {kappa}{sup 2}/24, respectively, using a ladder approximation to a Bethe-Salpeter equation. The baryon-baryon interaction associated with the ladder approximation is an energy independent spatial range-one attractive potential with an O({kappa}{sup 2}) strength. The attractive potential does not have a meson exchange interpretation. Six-point gauge field correlations give rise to attraction and counterbalance the Pauli repulsion to give a vanishing zero-range potential. The overall range-one potential results from a complicated interaction between the isospin components of the constituent quarks of the baryons.},
doi = {10.1103/PhysRevD.71.017503},
url = {https://www.osti.gov/biblio/20705775}, journal = {Physical Review. D, Particles Fields},
issn = {0556-2821},
number = 1,
volume = 71,
place = {United States},
year = {2005},
month = {1}
}