Abstract
A method to define the Green function of a composite particle and its vertex function for the effective coupling with its constituent particles is proposed, and applied to Zachariasen's soluble model. The eigenvalue equation introduces a cutoff mass, and suppresses the high energy behavior of various quantities. The results are compared with the dispersion-theoretical approach, and the position in bound state problems occupied by the S-matrix theory ifi discussed from the standpoint of Green's function. The dispersion-theoretical calculation of the propagator of bound state seems to be meaningless, but the results are as follows: For the model the Z factor of the bound state vanishes only in the sense =1 , if the cutoff mentioned above is not taken into account, and such a property is not essential to bound state problems. Further, the self energy of the state is infinite. The problem of elementarity also is discussed from a formal point of view.
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