Prediction of Pion Phase Shifts

D. Atkinson

doi:10.1103/PhysRev.128.1908

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Prediction of Pion Phase Shifts

D. Atkinson

Physics Department, University College, London, W.C.1, England

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Phys. Rev. 128, 1908 – Published 15 November, 1962

DOI: https://doi.org/10.1103/PhysRev.128.1908

Abstract

A method of deducing the pion-pion phase shifts from the pion-nucleon phase shifts is developed. A predominantly attractive $S$ -wave interaction is found. A resonant $P$ wave and an appreciable $D$ wave are also deduced.

References (14)

J. Hamilton and T. D. Spearman, Ann. Phys. (New York) 12, 172 (1961)
H. Y. Tzu (to be published)
G. F. Chew, M. L. Goldberger, F. E. Low, and Y. Nambu. Phys. Rev. 106, 1337 (1957)
W. R. Frazer and J. R. Fulco, Phys. Rev. 117, 1603 (1960)
S. Mandelstam, Phys. Rev. Letters 4, 84 (1960)
S. Mandelstam, Phys. Rev. 112, 1344 (1958)
E. C. Titchmarsh, Theory of Fourier Integrals (Oxford University, Press, New York, 1937), p. 318
S. Ciulli and J. Fischer, Nuclear Phys. 24, 465 (1961)
W. R. Frazer, Phys. Rev. 123, 2180 (1961)
C. Lovelace (to be published)
W. Zimmerman, Nuovo cimento 21, 249 (1961)
E. T. Whittaker and G. N. Watson, Modern Analysis (The Macmillan Company, New York, 1940)
W. S. Woolcock, thesis, 1961 (unpublished)
J. Hamilton, P. Menotti, G. C. Oades, and L. L. J. Vick (to be published)

[c1] J. Hamilton and T. D. Spearman, Ann. Phys. (New York) 12, 172 (1961)

[c2] H. Y. Tzu (to be published)

[c3] G. F. Chew, M. L. Goldberger, F. E. Low, and Y. Nambu. Phys. Rev. 106, 1337 (1957)

[c4] W. R. Frazer and J. R. Fulco, Phys. Rev. 117, 1603 (1960)

[c5] S. Mandelstam, Phys. Rev. Letters 4, 84 (1960)

[c6] S. Mandelstam, Phys. Rev. 112, 1344 (1958)

[c7] E. C. Titchmarsh, Theory of Fourier Integrals (Oxford University, Press, New York, 1937), p. 318

[c8] S. Ciulli and J. Fischer, Nuclear Phys. 24, 465 (1961)

[c9] W. R. Frazer, Phys. Rev. 123, 2180 (1961)

[c10] C. Lovelace (to be published)

[c11] W. Zimmerman, Nuovo cimento 21, 249 (1961)

[c12] E. T. Whittaker and G. N. Watson, Modern Analysis (The Macmillan Company, New York, 1940)

[c13] W. S. Woolcock, thesis, 1961 (unpublished)

[c14] J. Hamilton, P. Menotti, G. C. Oades, and L. L. J. Vick (to be published)

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Prediction of Pion Phase Shifts

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References (14)

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