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TheK-matrix in the distorted-wave theory

K-матрица в теории искаженных волн

  • Published:
Il Nuovo Cimento A (1965-1970)

Summary

The form of theK-matrix in the distorted-wave (DW) theory is investigated. A simple, closed and exact formula for the tangent of the phase shifts in the framework of the DW theory is obtained. An improved DW Born approximation (IDWBA) based on this formula is suggested. The usefulness of this exact formula in Padé approximation is mentioned.

Riassunto

Si analizza la forma della matriceK nella teoria dell’onda distorta (DW). Si ottiene una formula semplice, chiusa ed esatta per la tangente degli spostamenti di fase nel contesto della teoria della DW. Si suggerisce un’approssimazione della DW di Born migliorata (IDWBA) basata su questa formula. Si accenna all’utilità di questa formula esatta nell’approssimazione di Padé.

Реэюме

Исследуется форма K-матрицы в теории искаженных волн. Получается простая, эамкнутая, точная формула для тангенса фаэового сдвига в рамках теории искаженных волн. На основе зтой формулы предлагается усоверщенствованное борновское приближение с испольэованием искаженных волн. Отмечается ценность зтой точной формулы в приближении Падз.

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Author notes

  1. A. B. Khalil

    Present address: the Mathematics Department, Faculty of Science, Cairo University, Giza, Egypt

Authors and Affiliations

  1. D.Ph.T., CEN Saclay, BP2, 91190, Gif-sur-Yvette, France

    A. B. Khalil

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  1. A. B. Khalil
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Khalil, A.B. TheK-matrix in the distorted-wave theory. Nuov Cim A 36, 354–366 (1976). https://doi.org/10.1007/BF02724521

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  • DOI: https://doi.org/10.1007/BF02724521

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