Causality in the Pion-Proton Scattering

H. L. Anderson; W. C. Davidon; U. E. Kruse

doi:10.1103/PhysRev.100.339

Access by Xinjiang University

Causality in the Pion-Proton Scattering

H. L. Anderson, W. C. Davidon, and U. E. Kruse

Institute for Nuclear Studies, The University of Chicago, Chicago, Illinois

PDF

Phys. Rev. 100, 339 – Published 1 October, 1955

DOI: https://doi.org/10.1103/PhysRev.100.339

Abstract

Dispersion relations applicable to particles with mass and charge have been used for analyzing pion-proton scattering data. In these relations, experimental values of the total cross sections for $π^{+}$ and $π^{-}$ from 0 to 1.9 Bev were used to calculate the real part of the forward scattering amplitudes, and these were compared with the results of phase-shift analyses. With suitable choice of the pion-nucleon coupling constant, good agreement can be obtained for the phase-shift solutions with a resonant behavior for $α_{33}$ .

References (31)

R. Kronig, J. Opt. Soc. Am. 12, 547 (1926)
H. A. Kramers, Atti congr inter fisici Como 2, 545 (1927)
R. Kronig, Physica 12, 543 (1946)
M. L. Goldberger, Phys. Rev. 99, 979 (1955)
R. Karplus and M. Ruderman, Proceedings of the Fifth Annual Rochester Conference (Interscience Publishers, Inc., New York, 1955)
J. Orear, Phys. Rev. 96, 1417 (1954)
G. Puppi, Proceedings of the Fifth Annual Rochester Conference (Interscience Publishers, Inc., New York, 1955)
E. P. Wigner, Phys. Rev. 98, 145 (1955) H. L. Anderson, Proceedings of the Fifth Annual Rochester Conference (Interscience Publishers, Inc., New York, 1955)
Goldberger, Miyazawa, and Oehme, Phys. Rev. 99, 986 (1955)
J. Orear, Phys. Rev. 96, 176 (1954)
Ashkin, Blaser, Feiner, Gorman, and Stern, Phys. Rev. 96, 1104 (1954)
Anderson, Davidon, Glicksman, and Kruse, this issue [Phys. Rev. 100, 279 (1955)]
Anderson, Fermi, Lundby, and Nagle, Phys. Rev. 85, 936 (1952)
Anderson, Fermi, Martin, and Nagle, Phys. Rev. 91, 155 (1953)
H. L. Anderson and M. Glicksman, this issue [Phys. Rev. 100, 268 (1955)]
Bodansky, Sachs, and Steinberger, Phys. Rev. 93, 1367 (1954)
Cool, Clark, and Piccioni, Proceedings of the Fifth Annual Rochester Conference (Interscience Publishers, Inc., New York, 1955)
M. Glicksman, Phys. Rev. 94, 1335 (1954)
R. A. Grandey and A. F. Clark, Phys. Rev. 97, 791 (1955)
Isaacs, Sachs, and Steinberger, Phys. Rev. 85, 803 (1952)
S. J. Leonard and D. H. Stork, Phys. Rev. 93, 568 (1954)
J. J. Lord and A. B. Weaver (private communication)
J. Orear, Phys. Rev. 96, 176 (1954)
J. P. Perry and C. E. Angell, Phys. Rev. 91, 1289 (1953)
G. Puppi, Proceedings of the Fifth Annual Rochester Conference (Interscience Publishers, Inc., New York, 1955)
J. Tinlot and A. Roberts, Phys. Rev. 95, 137 (1954)
L. C. Yuan and S. J. Lindenbaum, Proceedings of the Fifth Annual Rochester Conference Inc., (Interscience Publishers, New York, 1955)
G. Chew, Proceedings of the Fifth Annual Rochester Conference (Interscience Publishers, Inc., New York, 1955)
H. P. Noyes and A. E. Woodruff, Phys. Rev. 94, 1401 (1954)
H. Taft (to be published)
de Hoffmann, Metropolis, Alei, and Bethe, Phys. Rev. 95, 1586 (1954)

[c1] R. Kronig, J. Opt. Soc. Am. 12, 547 (1926)

[c2] H. A. Kramers, Atti congr inter fisici Como 2, 545 (1927)

[c3] R. Kronig, Physica 12, 543 (1946)

[c4] M. L. Goldberger, Phys. Rev. 99, 979 (1955)

[c5] R. Karplus and M. Ruderman, Proceedings of the Fifth Annual Rochester Conference (Interscience Publishers, Inc., New York, 1955)

[c6] J. Orear, Phys. Rev. 96, 1417 (1954)

[c7] G. Puppi, Proceedings of the Fifth Annual Rochester Conference (Interscience Publishers, Inc., New York, 1955)

[c8] E. P. Wigner, Phys. Rev. 98, 145 (1955) H. L. Anderson, Proceedings of the Fifth Annual Rochester Conference (Interscience Publishers, Inc., New York, 1955)

[c9] Goldberger, Miyazawa, and Oehme, Phys. Rev. 99, 986 (1955)

[c10] J. Orear, Phys. Rev. 96, 176 (1954)

[c11] Ashkin, Blaser, Feiner, Gorman, and Stern, Phys. Rev. 96, 1104 (1954)

[c12] Anderson, Davidon, Glicksman, and Kruse, this issue [Phys. Rev. 100, 279 (1955)]

[c13] Anderson, Fermi, Lundby, and Nagle, Phys. Rev. 85, 936 (1952)

[c14] Anderson, Fermi, Martin, and Nagle, Phys. Rev. 91, 155 (1953)

[c15] H. L. Anderson and M. Glicksman, this issue [Phys. Rev. 100, 268 (1955)]

[c16] Bodansky, Sachs, and Steinberger, Phys. Rev. 93, 1367 (1954)

[c17] Cool, Clark, and Piccioni, Proceedings of the Fifth Annual Rochester Conference (Interscience Publishers, Inc., New York, 1955)

[c18] M. Glicksman, Phys. Rev. 94, 1335 (1954)

[c19] R. A. Grandey and A. F. Clark, Phys. Rev. 97, 791 (1955)

[c20] Isaacs, Sachs, and Steinberger, Phys. Rev. 85, 803 (1952)

[c21] S. J. Leonard and D. H. Stork, Phys. Rev. 93, 568 (1954)

[c22] J. J. Lord and A. B. Weaver (private communication)

[c23] J. Orear, Phys. Rev. 96, 176 (1954)

[c24] J. P. Perry and C. E. Angell, Phys. Rev. 91, 1289 (1953)

[c25] G. Puppi, Proceedings of the Fifth Annual Rochester Conference (Interscience Publishers, Inc., New York, 1955)

[c26] J. Tinlot and A. Roberts, Phys. Rev. 95, 137 (1954)

[c27] L. C. Yuan and S. J. Lindenbaum, Proceedings of the Fifth Annual Rochester Conference Inc., (Interscience Publishers, New York, 1955)

[c28] G. Chew, Proceedings of the Fifth Annual Rochester Conference (Interscience Publishers, Inc., New York, 1955)

[c29] H. P. Noyes and A. E. Woodruff, Phys. Rev. 94, 1401 (1954)

[c30] H. Taft (to be published)

[c31] de Hoffmann, Metropolis, Alei, and Bethe, Phys. Rev. 95, 1586 (1954)

Physical Review Journals Archive

Export citation

Export citation

Causality in the Pion-Proton Scattering

Abstract

References (31)

Outline

Information

Filter

Filter

Article Lookup

Enter a citation