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Modified Tamm-Dancoff Approach to Charged-Scalar Theory
Phys. Rev. 187, 2129 – Published 25 November, 1969
DOI: https://doi.org/10.1103/PhysRev.187.2129
Abstract
A scheme for truncating the -function equations appropriate to charged-scalar-meson theory is presented and solved in the one- and two-meson approximations. The basis of the truncation scheme is a restriction of the number of mesons occurring in bare intermediate states. The resulting equations are modified so that the same diagrams which account for the dressing of the nucleon also account for meson-nucleon scattering. A meson-nucleon bound state is present, for large enough coupling constant, in the two-meson approximation. It occurs in the channel where the interaction takes place entirely through exchange diagrams. It is found that the masses and cutoff function of the theory can be chosen in such a way that the probability of finding the physical particle as a bare particle decreases in going from the one-meson to the two-meson approximation.
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Omitted endnote