Abstract
A classical Lorentz-covariant nonlinear model scalar field theory, which admits an exact, closed-form, spatially localized, nonsingular solution, is considered. This solution corresponds to a dynamically unstable extended ‘‘particle’’ of finite positive ‘‘rest mass.’’ An approximate two-particle solution is constructed, and the associated effective two-particle Lagrangian is derived by means of a Rayleigh–Ritz procedure.
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