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

Journal Article · Fri Aug 01 04:00:00 EDT 1997 · Journal of Mathematical Physics

DOI:https://doi.org/10.1063/1.532078· OSTI ID:526888

Darewych, J W; Shapoval, D V; Simenog, I V; Sitenko, A G ^[1]

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1. Department of Physics and Astronomy, York University, Toronto, Ontario M3J 1P3 (Canada)

We investigate a variational approach to the study of two-particle bound states in quantum field theory. The scalar Yukawa model, in which scalar {open_quotes}nucleons{close_quotes} interact via {open_quotes}meson{close_quotes} 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. {copyright} {ital 1997 American Institute of Physics.}

• OSTI ID: 526888
• Journal Information: Journal of Mathematical Physics, Journal Name: Journal of Mathematical Physics Journal Issue: 8 Vol. 38; ISSN JMAPAQ; ISSN 0022-2488
• Country of Publication: United States
• Language: English

Related Subjects

66 PHYSICS
AXIOMATIC FIELD THEORY
BOUND STATE
INTEGRAL EQUATIONS
MESONS
NUCLEONS
NUMERICAL ANALYSIS
QUANTUM FIELD THEORY
RELATIVISTIC RANGE
SCALARS
VARIATIONAL METHODS
YUKAWA POTENTIAL