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Asymptotic properties of scattering amplitudes that are bounded by the Martin-Froissart bound

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Lettere al Nuovo Cimento (1971-1985)

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References

  1. R. J. Eden andG. D. Kaiser:Phys. Rev. D,3, 2286 (1971);Nucl Phys.,28 B, 253 (1971).

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  2. R. E. Mickens:Lett. Nuovo Cimento,2, 1157 (1971).

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  3. E. Leader:Phys. Lett.,5, 75 (1963);R. J. Eden:Phys. Rev. Lett.,16, 39 (1966);R. E. Mickens:Lett. Nuovo Cimento,1, 521 (1969). The Martin-Froissart bound gives |F(s,t)| <Ds lns, whereD is a constant;s andt are the usual Mandelstam variables.

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  4. R. J. Eden:Rev. Mod. Phys.,43, 15 (1971).

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  5. It is well known that any improvement of the Froissart bound leads to the proof of the Pomeranchuk theorem for constant total cross-sections. (Seee.g.,R. E. Mickens:Lett. Nuovo Cimento,3,428 (1970).) Thus,F(s,t) represents either the particle or antiparticle amplitude and the total cross-sections tend to the same constant limits. Also, since experimentally the ratio ReF(s,0)/ImF(s,0) is either decreasing or constant with energy, we have chosen the form forF(s,0) given in eq.(1).

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  6. T. Kinoshita: inPerspectives in Modern Physics, edited byR. E. Marshak (New York, 1966);R. E. Mickens:Lett. Nuovo Cimento,3, 428 (1970).

  7. R. J. Eden:High-Energy Collisions of Elementary Particles (Cambridge, 1967).

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  1. Physics Department, Fisk University, Nashville, Tenn.

    R. E. Mickens

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  1. R. E. Mickens
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Work supported in part by the National Science Foundation.

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Mickens, R.E. Asymptotic properties of scattering amplitudes that are bounded by the Martin-Froissart bound. Lett. Nuovo Cimento 7, 147–149 (1973). https://doi.org/10.1007/BF02727491

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