Nonperturbative formulation of relativistic two-particle states in the scalar Yukawa model

Nonperturbative formulation of relativistic two-particle states in the scalar Yukawa model

We investigate a variational approach to the study of two-particle bound states in quantum field theory. The scalar Yukawa model, in which scalar “nucleons” interact via “meson” exchange, is considered. A variational trial state that contains one or two scalar nucleons with any number of mediating s...

Ausführliche Beschreibung

Gespeichert in:
Bibliographische Detailangaben
Veröffentlicht in:Journal of Mathematical Physics 1997-08, Vol.38 (8), p.3908-3924
Hauptverfasser: Darewych, J. W., Shapoval, D. V., Simenog, I. V., Sitenko, A. G.
Format: Artikel
Sprache:eng
Schlagworte:
AXIOMATIC FIELD THEORY
BOUND STATE
INTEGRAL EQUATIONS
MESONS
NUCLEONS
NUMERICAL ANALYSIS
PHYSICS
QUANTUM FIELD THEORY
RELATIVISTIC RANGE
SCALARS
VARIATIONAL METHODS
YUKAWA POTENTIAL
Online-Zugang:Volltext
Tags: Tag hinzufügen
Keine Tags, Fügen Sie den ersten Tag hinzu!
Beschreibung
Zusammenfassung:We investigate a variational approach to the study of two-particle bound states in quantum field theory. The scalar Yukawa model, in which scalar “nucleons” interact via “meson” exchange, is considered. A variational trial state that contains one or two scalar nucleons with any number of mediating scalar mesons is used to derive integral equations for the one- and two-nucleon systems. Numerical solutions of these equations are obtained in 1+1 dimensions. Comparison is made with perturbative and nonrelativistic approximations that have been used in earlier calculations.
ISSN:0022-2488
1089-7658
DOI:10.1063/1.532078