Abstract
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.
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