Determination of the constants of the De Rujula-Georgi-Glashow phenomenological quark-quark interaction from the s-wave baryon spectrum

Journal Article · Sun Jun 01 04:00:00 EDT 1980 · Hadronic J.; (United States)

OSTI ID:6486432

Shanker, R ^[1]; Warke, C S

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1. Tata Inst. of Fundamental Research, Bombay, India

The constants of the De Rujula, Georgi, Glashow phenomenological quark-quark potential are determined from the masses of the octet s-wave baryons. The calculation of the baryon masses is based on variational principles which lead to a 7% variation of the radial wave-function in a SU(3) multiplet. The variational principles lead to Schroedinger equations (different for different baryons) and their subsequent solutions. The constants so determined reproduce accurately the decuplet s-wave baryons' masses and the baryonic magnetic moments with only a small anomalous g factor. The r.m.s. radius of the proton given by the radial wave-function turns out to be rather small: approx. 0.3 FM. The present method gives the results: i) The mass-relations which can be derived in a broken SU(6) scheme are here displaced by 3 corresponding Hamiltonian-operator relations. The noncommutativity of these Hamiltonians implies that the baryonic masses are independent of each other. ii) Pairwise quark confinement leads to the same-type of confinement for the reduced mass of 3 quarks and originates from a central point in between them.

• OSTI ID: 6486432
• Journal Information: Hadronic J.; (United States), Journal Name: Hadronic J.; (United States) Vol. 3:4; ISSN HAJOD
• Country of Publication: United States
• Language: English

Related Subjects

645201 -- High Energy Physics-- Particle Interactions & Properties-Theoretical-- General & Scattering Theory
645400* -- High Energy Physics-- Field Theory
72 PHYSICS OF ELEMENTARY PARTICLES AND FIELDS
BAG MODEL
BARYONS
COMMUTATION RELATIONS
COMPOSITE MODELS
COUPLING CONSTANTS
DATA
DIFFERENTIAL EQUATIONS
ELEMENTARY PARTICLES
EQUATIONS
EXTENDED PARTICLE MODEL
FERMIONS
FIELD THEORIES
FUNCTIONS
HADRONS
HAMILTONIAN FUNCTION
INFORMATION
INTERACTIONS
MAGNETIC MOMENTS
MASS
MATHEMATICAL MODELS
NUMERICAL DATA
PARTIAL DIFFERENTIAL EQUATIONS
PARTICLE INTERACTIONS
PARTICLE MODELS
PARTICLE PROPERTIES
PARTICLE RADII
QUANTUM CHROMODYNAMICS
QUANTUM FIELD THEORY
QUARK MODEL
QUARK-QUARK INTERACTIONS
SCHROEDINGER EQUATION
THEORETICAL DATA
VARIATIONAL METHODS
WAVE EQUATIONS
WAVE FUNCTIONS