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Implications of some less-known scattering approximations in a deuteron-model bound state

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Czechoslovak Journal of Physics B Aims and scope

Abstract

We compare results obtained in potential-model testing for the3S bound state of the deuteron by some scattering approximations which are not familiar in literature. The test concerns: the plane-wave approximation used in the continuous-energy spectrum within the framework of the Gelfand-Levitan formalism, the Brysk approximation modified byMichalík (Czech. J. Phys.B 17 (1967), 757;B 18 (1968), 517) and the Jost method modified bySasakawa (Prog. Theoret. Phys. Suppl. No. 27 (1963), 1). It is pointed out which of these approximations can be preferred in similar model calculations, where the wave-function approach is demanded. In particular cases we also give contributions for the first-order energy shift due to a weak Yukawa perturbation on the deuteron, if its bound state is described by the mentioned approximative wave functions.

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Authors and Affiliations

  1. Faculty of Engineering, Slovak Technical University, Gottwaldovo nám. 17, 880 31, Bratislava, Czechoslovakia

    J. Weiss

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  1. J. Weiss
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Weiss, J. Implications of some less-known scattering approximations in a deuteron-model bound state. Czech J Phys 26, 603–618 (1976). https://doi.org/10.1007/BF01589590

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  • DOI: https://doi.org/10.1007/BF01589590

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