Baryon-baryon bound states in strongly coupled lattice QCD

Journal Article · Sun Apr 01 00:00:00 EDT 2007 · Physical Review. D, Particles Fields

DOI:https://doi.org/10.1103/PHYSREVD.75.074503· OSTI ID:21020294

Faria da Veiga, Paulo A; O'Carroll, Michael ^[1]

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1. Departamento de Matematica Aplicada e Estatistica, ICMC-USP, C.P. 668, 13560-970 Sao Carlos SP (Brazil)

We determine baryon-baryon bound states in 3+1 dimensional SU(3) lattice QCD with two flavors, 4x4 spin matrices, and in an imaginary-time functional integral formulation. For small hopping parameter, {kappa}>0, and large glueball mass (strong coupling regime), we show the existence of three-quark isospin 1/2 particles (proton and neutron) and isospin 3/2 baryons (delta particles), with asymptotic masses -3ln{kappa} and isolated dispersion curves. We only consider the existence of bound states of total isospin I=0,3. Using a ladder approximation to a lattice Bethe-Salpeter equation, baryon-baryon bound states are found in these two sectors, with asymptotic masses -6ln{kappa} and binding energies of order {kappa}{sup 2}. The dominant baryon-baryon interaction is an energy-independent spatial range-one potential with an O({kappa}{sup 2}) strength. There is also attraction arising from gauge field correlations associated with six overlapping bonds, but it is counterbalanced by Pauli repulsion to give a vanishing zero-range potential. The overall range-one potential results from a quark, antiquark exchange with no meson-exchange interpretation; the repulsive or attractive nature of the interaction does depend on the isospin and spin of the two-baryon state.

• OSTI ID: 21020294
• Journal Information: Physical Review. D, Particles Fields, Vol. 75, Issue 7; Other Information: DOI: 10.1103/PhysRevD.75.074503; (c) 2007 The American Physical Society; Country of input: International Atomic Energy Agency (IAEA); ISSN 0556-2821
• Country of Publication: United States
• Language: English

Related Subjects

72 PHYSICS OF ELEMENTARY PARTICLES AND FIELDS
71 CLASSICAL AND QUANTUM MECHANICS
GENERAL PHYSICS
BARYON-BARYON INTERACTIONS
BETHE-SALPETER EQUATION
BINDING ENERGY
BOSON-EXCHANGE MODELS
BOUND STATE
CORRELATIONS
FLAVOR MODEL
GLUEBALLS
ISOSPIN
LADDER APPROXIMATION
LATTICE FIELD THEORY
MATRICES
NEUTRONS
POTENTIALS
PROTONS
QUANTUM CHROMODYNAMICS
SPIN
STRONG-COUPLING MODEL
SU-3 GROUPS