Abstract

An off-shell $t$ matrix is developed for the boundary-condition model in the general case of coupled partial waves. This development is facilitated by the use of a method for solving the Lippmann-Schwinger equation directly for potentials of the square-well type. The $t$ matrix obtained is shown to be unique under some rather mild assumptions as to analyticity and asymptotic behavior. An integral equation of the Lippmann-Schwinger type is obtained for the $t$ matrix in the more realistic problem of boundary condition plus external potential.

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