The relativistic three-quark bound state problem

Thesis/Dissertation · Wed Jan 01 04:00:00 EST 1992

OSTI ID:7296270

Jean, H C

The relativistic three-body Faddeev equations in momentum space are derived for a general form of dynamics. They are derived from the eigenvalue equation for the three-body mass operator. To solve these equations the two-body wave functions are used as based in the three-body wave functions to eliminate the square root operators containing interactions. The Balian-Brezin method can be used to replace two two-dimensional integrals by one one-dimensional integral to simplify the calculations. To demonstrate the feasibility of these equations a calculation for a system of three light constituent quarks with a Coulomb plus linear confining potential is performed assuming instant form dynamics. The quarks are assumed to be identical, structureless, spinless, and colorless. The convergence of the calculations suggests that calculations including spins or the other dynamic forms will also converge. The accurate light baryon wave functions, which are sums of the Faddeev components, can be used to compute the nucleonic form factors and structure functions.

• Research Organization: Iowa Univ., Iowa City, IA (United States)
• OSTI ID: 7296270
• Country of Publication: United States
• Language: English

Related Subjects

662200* -- Specific Theories & Interaction Models
662440 -- Properties of Other Particles Including Hypothetical Particles-- (1992-)
72 PHYSICS OF ELEMENTARY PARTICLES AND FIELDS
BOUND STATE
ELEMENTARY PARTICLES
ENERGY RANGE
EQUATIONS
FADDEEV EQUATIONS
FERMIONS
FORM FACTORS
FUNCTIONS
MANY-BODY PROBLEM
PARTICLE PROPERTIES
POSTULATED PARTICLES
Pa
Particle Systematics-- (1992-)
QUARKS
RELATIVISTIC RANGE
STRUCTURE FUNCTIONS
THREE-BODY PROBLEM