Angular Dependence of Scattering at High Energies

George Tiktopoulos; S. B. Treiman

doi:10.1103/PhysRev.167.1437

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Angular Dependence of Scattering at High Energies

George Tiktopoulos and S. B. Treiman

Palmer Physical Laboratory, Princeton University, Princeton, New Jersey

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Phys. Rev. 167, 1437 – Published 25 March, 1968

DOI: https://doi.org/10.1103/PhysRev.167.1437

Abstract

Experimental evidence indicates that for nonforward (and nonbackward) scattering angles $θ$ , differential scattering cross sections fall off exponentially with increasing barycentric energy $\sqrt s$ ; namely, $\frac{d σ}{d Ω} \sim {}_{s \to \infty}e^{- φ (s, cos θ)}$ , where $φ (s, cos θ)$ is a positive quantity increasing as some power of $s$ . From assumptions of boundedness and analyticity in $cos θ$ , we obtain certain constraints on the $cos θ$ dependence of the exponent function $φ (s, cos θ)$ .

References (7)

M. Froissart, Phys. Rev. 123, 1053 (1961)
G. Cocconi, V. T. Cocconi, A. D. Krisch, J. Orear, R. Rubinstein, D. B. Scarl, B. T. Ulrich, W. F. Baker, E. W. Jenkins, and A. L. Read, Phys. Rev. 138, B165 (1965) J. V. Allaby, G. Belletini, G. Cocconi, M. L. Good, A. N. Diddens, G. Mattiae, E. J. Sacharidis, A. Silverman, and A. M. Wetherell, Phys. Letters 23, 389 (1966) [7]
F. Cerulus and A. Martin, Phys. Letters 8, 80 (1964)
C. W. Akerlof, R. H. Hieber, A. D. Krisch, K. W. Edwards, L. G. Ratner, and K. Ruddick, Phys. Rev. Letters 17, 1105 (1966)
G. C. Evans, The Logarithmic Potential (American Mathematical Society Colloquium Publications, New York, 1927), Vol. VI, Chap. II R. Nevanlinna, Eindeutige Analytische Funktionen (Springer-Verlag, Berlin, 1953), Chap. VII, p. 196
Omitted endnote
J. Orear, Phys. Rev. Letters 12, 112 (1964) J. V. Allaby, G. Cocconi, A. N. Diddens, A. Klovning, G. Matthiae, E. J. Sacharidis, and A. M. Wetherell, Phys. Letters 25B, 156 (1967)

[c1] M. Froissart, Phys. Rev. 123, 1053 (1961)

[c2] G. Cocconi, V. T. Cocconi, A. D. Krisch, J. Orear, R. Rubinstein, D. B. Scarl, B. T. Ulrich, W. F. Baker, E. W. Jenkins, and A. L. Read, Phys. Rev. 138, B165 (1965) J. V. Allaby, G. Belletini, G. Cocconi, M. L. Good, A. N. Diddens, G. Mattiae, E. J. Sacharidis, A. Silverman, and A. M. Wetherell, Phys. Letters 23, 389 (1966) [7]

[c3] F. Cerulus and A. Martin, Phys. Letters 8, 80 (1964)

[c4] C. W. Akerlof, R. H. Hieber, A. D. Krisch, K. W. Edwards, L. G. Ratner, and K. Ruddick, Phys. Rev. Letters 17, 1105 (1966)

[c5] G. C. Evans, The Logarithmic Potential (American Mathematical Society Colloquium Publications, New York, 1927), Vol. VI, Chap. II R. Nevanlinna, Eindeutige Analytische Funktionen (Springer-Verlag, Berlin, 1953), Chap. VII, p. 196

[c6] Omitted endnote

[c7] J. Orear, Phys. Rev. Letters 12, 112 (1964) J. V. Allaby, G. Cocconi, A. N. Diddens, A. Klovning, G. Matthiae, E. J. Sacharidis, and A. M. Wetherell, Phys. Letters 25B, 156 (1967)

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Angular Dependence of Scattering at High Energies

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References (7)

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