Abstract
We consider the interaction Hamiltonian\((1) (*) H_1 = g\int {d_3 x\bar \psi (x)} \varphi (x) \cdot \varphi (x)\psi (x) + \lambda \int {d_3 x\bar \psi (x)} (\pi (x) \times \varphi (x))\tau \psi (x)\) There is evidence (1,2) that for meson-nucleon scattering (1) represents a large part of theps(ps)s-state interaction for intermediate as well as as weak coupling, providing that λ/g is suitably altered. The first term of (1) has long been known to be diagonalizable in the static nucleon limit (3). The isotopic spin coupling of the second term requires that the isotopic spin variable of the nucleon be left free (non-static) thus complicating the diagonalization. By combining the nucleon spin operator with the meson field operators we have succeeded in diagonalizing (1). The parameters determined by experiment are reasonable. One can examine many formal aspects. The point source limit exists.
Published Version
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