Baryonbaryon bound state in a 2+1 lattice QCD model with two flavors and strong coupling
Abstract
We consider baryonbaryon 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. Baryonbaryon 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 BetheSalpeter equation. The baryonbaryon interaction associated with the ladder approximation is an energy independent spatial rangeone attractive potential with an O({kappa}{sup 2}) strength. The attractive potential does not have a meson exchange interpretation. Sixpoint gauge field correlations give rise to attraction and counterbalance the Pauli repulsion to give a vanishing zerorange potential. The overall rangeone potential results from a complicated interaction between the isospin components of the constituent quarks of the baryons.
 Authors:

 Departamento de Matematica, ICMCUSP, C.P. 668, 13560970 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 05562821
 Country of Publication:
 United States
 Language:
 English
 Subject:
 72 PHYSICS OF ELEMENTARY PARTICLES AND FIELDS; BARYONBARYON INTERACTIONS; BARYONS; BETHESALPETER EQUATION; BINDING ENERGY; BOSONEXCHANGE 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; STRONGCOUPLING MODEL; SU3 GROUPS
Citation Formats
Faria da Veiga, Paulo A, and O'Carroll, Michael. Baryonbaryon 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. Baryonbaryon 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 .
"Baryonbaryon 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 = {Baryonbaryon 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 baryonbaryon 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. Baryonbaryon 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 BetheSalpeter equation. The baryonbaryon interaction associated with the ladder approximation is an energy independent spatial rangeone attractive potential with an O({kappa}{sup 2}) strength. The attractive potential does not have a meson exchange interpretation. Sixpoint gauge field correlations give rise to attraction and counterbalance the Pauli repulsion to give a vanishing zerorange potential. The overall rangeone 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 = {05562821},
number = 1,
volume = 71,
place = {United States},
year = {2005},
month = {1}
}