Abstract
Eikonal formulae for the production process NN-7NN+mc are studied on the basis of a relativistic field-theoretical model in which the potential between nucleons, pion emission and absorption are all induced by a scalar field A. The functional integral method is used to derive formulae. Within the straight path approximation for the initial particles, it is shown that an exact impact parameter representation for production amplitude can be. obtained, including all internal interactions, in particular, nucleon loops. The amplitude is properly represented with the aid of three variables; i.e., transverse vector and two longitudinal coordinates. The latter two correspond to two moving intermediate nucleons respectively. These variables compose a vector in a four-dimensional space called frame, and a modified rapidity is introduced. Multiple scattering effects by the A field are investigated and a cluster expansion with respect to correlated A-lines is performed for eikonal phase of production amplitude.
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