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High energy behaviour for non-relativistic scattering by stationary external metrics and Yang-Mills potentials

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Zeitschrift für Physik C Particles and Fields

Abstract

Using Krein's formula, we establish regularity properties of the total phase schift in the energy. Assuming an asymptotic expansion at high energies, we compute the first fewcoefficiencts. They are shown to be related to the known coefficients in the high temperature expansion of the Gibbs distribution for the same Hamiltonian. Analyzing the sign of the phase shift, we argue that Yang-Mills potentials act repulsively on scalar particles and attractively on spin 1/2 particles, at least for very small and very high energies.

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  1. R. Scharader

    Present address: Freie Universität Berlin, Berlin, Germany

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  1. CERN, Theory Division, CH-1211, Geneva, Switzerland

    R. Scharader

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Scharader, R. High energy behaviour for non-relativistic scattering by stationary external metrics and Yang-Mills potentials. Z. Phys. C - Particles and Fields 4, 27–36 (1980). https://doi.org/10.1007/BF01477304

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  • DOI: https://doi.org/10.1007/BF01477304

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