Behavior of relativistic wave functions near the origin for a QCD potential

Journal Article · Sun Sep 01 00:00:00 EDT 1985 · Phys. Rev. D; (United States)

DOI:https://doi.org/10.1103/PhysRevD.32.1257· OSTI ID:5296067

Durand, L

We determine the behavior of the solution of the relativistic wave equation ((-del/sup 2/+m/sub 1/ /sup 2/)/sup 1/2/+(- del/sup 2/+m/sub 2/ /sup 2/)/sup 1/2/ +V(r)-M)psi(r) = 0 for r..-->..0 for the QCD-inspired running Coulomb potential V(r)approx.-..cap alpha../sub 0//r ln(r/sub 0//r), r<..0 with lambda/sub l/>0 a known constant. The severity of the (power-law) divergence of r/sup -l/R/sub l/ at r = 0 noted previously for a Coulomb potential is therefore reduced (but not eliminated) for the running potential.

• Research Organization: Physics Department, University of WisconsinMadison, Madison, Wisconsin 53706
• OSTI ID: 5296067
• Journal Information: Phys. Rev. D; (United States), Journal Name: Phys. Rev. D; (United States) Vol. 32:5; ISSN PRVDA
• Country of Publication: United States
• Language: English

Related Subjects

645400* -- High Energy Physics-- Field Theory
72 PHYSICS OF ELEMENTARY PARTICLES AND FIELDS
BOUND STATE
COULOMB FIELD
COUPLING CONSTANTS
DIFFERENTIAL EQUATIONS
ELECTRIC FIELDS
EQUATIONS
FIELD THEORIES
FUNCTIONS
INTERACTIONS
PARTIAL DIFFERENTIAL EQUATIONS
PARTICLE INTERACTIONS
QUANTUM CHROMODYNAMICS
QUANTUM FIELD THEORY
QUARK-ANTIQUARK INTERACTIONS
WAVE EQUATIONS
WAVE FUNCTIONS