Abstract

Parameter imbedding method for nonlinear parameter integral equation developed in paper I is applied to the BS equation with self–energy graphs discussed in paper II. Numerical algorithm and computer code are presented. An example problem, which can be treated analytically, is run on the computer VAX–8700 in the USTC, China. The numerical results are excellent. The continuous spectrum and the discrete eigenvalues of the model problem are investigated attentively and calculated on nearly the whole closed complex plane by using the numerical code. Several sets of parameters (the mass of the exchanged bosons) and (the bound energy of the bound state) are given. The numerical results exhibit some strong evidences, which make us come to the suggestion that there are no discrete abnormal states in all the cases we considered when the self–energy is included.

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