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Generalization of the distortion operator method

✍ Scribed by B Michalík

Publisher
Elsevier Science
Year
1968
Tongue
English
Weight
864 KB
Volume
50
Category
Article
ISSN
0003-4916

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✦ Synopsis

A set of new objects is introduced into the theory, the nth term of which is called "the distortion operator of nth kind." The distortion operator of 0th kind is identical to the transition (or reaction) operator, the distortion operator of 1st kind is the previously introduced distortion operator. Equations for the new operators are deduced and shown to be nonsingular for all n > 1. The radius and speed of convergence of the Neumann series following from these equations increase with increasing n. The transition and reaction operators are expressed in terms of the distortion operator of the nth kind; in the first approximation of the second distortion approach, unitarity is satisfied (as well as in the first order of the first distortion approach). In the partialwave momentum representation, separable approximations of a given interaction are then obtained. Finally, the convergence when going from the first to the second distortion approach is tested and found to be very rapid.

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