LETTERS TO THE EDITOR represent the ladder approximation is to include an infinite set of radiative corrections to each nucleon line corresponding to the successive emission and reabsorption one at a time of any number of mesons. The properties of these modi6ed propagation functions ave already been discussed in I; they di6'er little from the original unctions if particles (1) and (2) are moving as nearly free particles. If however pair formation has occurred as is characteristic of the pseudoscalar theory even when the nucleons are interacting rather weakly, then the modi6cation of the propagation functions is very large. Accordingly the e8ect will be small only if an adiabatic approximation2 ' is made to the. integral equation which does not involve pair formation. The next contributions to the adiabatic approximation to the equation involve the formation of zero, one, or two nucleon pairs, as is shown in Fig. 2, which will be decreased As FIG. 2 g4 contributions to the potential in the adiabatic approximation. The doubled nucleon lines represent propagation functions modified b y radiative corrections. oie in the nonrelativistic one, region by factors of approximately (1+3g'/16m) and (1+3g'/Svr'), respectively. More generally, the radiative effects tend to
Physical Review – American Physical Society (APS)
Published: Aug 1, 1953
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