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Upper bound on total cross sections

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Abstract

It is shown, under certain assumptions, that if the Nth derivative of the absorptive part of an elastic scattering amplitude exists in the interval t 1≤t≤0, then, the total cross section has the asymptotic upper bound \({}_{\sigma T}(S) < s^{1/(N + 1)} \)

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  1. Dept. of Physics Fisk University, 37203, Nashville, Tenn, U.S.A.

    Ronald E. Mickens

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  1. Ronald E. Mickens
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Mickens, R.E. Upper bound on total cross sections. Lett Math Phys 2, 75–78 (1977). https://doi.org/10.1007/BF00420675

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  • DOI: https://doi.org/10.1007/BF00420675

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