Solvable light-front model of a relativistic bound state in 1+1 dimensions

Journal Article · Fri Jan 15 00:00:00 EST 1988 · Phys. Rev. D; (United States)

DOI:https://doi.org/10.1103/PhysRevD.37.421· OSTI ID:5582988

Sawicki, M; Mankiewicz, L

The bound-state equation at equal light-front time is investigated in the framework of a scalar field model in one space and one time dimension in the limit of an infinitely massive exchanged boson. Analytic expressions for the bound-state mass and form factor are obtained. In a weak-binding limit the results for mass and wave function coincide with those based on the nonrelativistic Schroedinger equation with delta-type potential. For weakly bound systems the form factor reduces to the proper static limit in the whole domain of momentum transfers. In general, the quality of the static approximation is controlled by a dimensionless parameter (B-bar/m) that characterizes the strength of the binding.

• Research Organization: Institute of Theoretical Physics, Warsaw University, Hoa 69, 00-681 Warsaw, Poland
• OSTI ID: 5582988
• Journal Information: Phys. Rev. D; (United States), Vol. 37:2
• Country of Publication: United States
• Language: English

Related Subjects

72 PHYSICS OF ELEMENTARY PARTICLES AND FIELDS
SCALAR FIELDS
BOUND STATE
BOSONS
COUPLING CONSTANTS
DIRAC EQUATION
ELASTICITY
ELECTROMAGNETIC FORM FACTORS
LAGRANGIAN FUNCTION
MASS
MOMENTUM TRANSFER
QUANTUM MECHANICS
SCHROEDINGER EQUATION
SPACE-TIME
TWO-BODY PROBLEM
TWO-DIMENSIONAL CALCULATIONS
WAVE FUNCTIONS
DIFFERENTIAL EQUATIONS
EQUATIONS
FORM FACTORS
FUNCTIONS
MANY-BODY PROBLEM
MECHANICAL PROPERTIES
MECHANICS
PARTIAL DIFFERENTIAL EQUATIONS
PARTICLE PROPERTIES
TENSILE PROPERTIES
WAVE EQUATIONS
645400* - High Energy Physics- Field Theory