On the analytic properties of the <Emphasis Type="Italic">S</Emphasis>-matrix for the unknown interactions surrounded by centrifugal and rapidly decreasing potentials |
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Authors: | Vladislav S Olkhovsky |
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Institution: | 1.Institute for Nuclear Research of NASU,Kiev,Ukraine |
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Abstract: | The analytic structure of the non-relativistic unitary and non-unitary S-matrix is investigated for the cases of the unknown interactions with the unknown motion equations inside a sphere of radius
a, surrounded by the centrifugal and rapidly decreasing (exponentially or by the Yukawian law or by the more rapidly decreasing)
potentials. The one-channel case and special examples of many-channel cases are considered. Some kinds of symmetry conditions
are imposed. The Schroedinger equation for r > a for the particle motion and the condition of the completeness of the correspondent wave functions are assumed. The connection
of the obtained results with the usual (temporal) causality is examined. Finally a scientific program is presented as a clear
continuation and extension of the obtained results. |
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Keywords: | |
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