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Bethe salpeter equation with confining kernel; Correct non relativistic limit and the constant to be added to the linear potential

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Zeitschrift für Physik C Particles and Fields

Abstract

After showing that the usual way of performing the non-relativistic limit in the BS equation leads to a divergent result in the case of a confining kernel we perform the limit correctly and find that the well-known linear potential will be necessarily accompanied by a negative constant. Under a rather weak naturalness assumption the constant is uniquely determined from the slope of the linear potential. The resulting relation is in agreement with the phenomenology of meson spectroscopy.

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Authors and Affiliations

  1. Institut für Theoretische Physik, Universität Heidelberg, D-6900, Heidelberg, Germany

    Dieter Gromes

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  1. Dieter Gromes
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Gromes, D. Bethe salpeter equation with confining kernel; Correct non relativistic limit and the constant to be added to the linear potential. Z. Phys. C - Particles and Fields 11, 147–152 (1981). https://doi.org/10.1007/BF01573997

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  • DOI: https://doi.org/10.1007/BF01573997

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