Direct and Crossed Watson Terms in Three-Body Final-State Interactions

Anna J. Martin

doi:10.1103/PhysRevD.2.1663

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Direct and Crossed Watson Terms in Three-Body Final-State Interactions

Anna J. Martin^*

Department of Physics, University of Illinois, Urbana, Illinois 61801

^*Present address: Department of Physics, Lafayette College, Easton, Pa. 18042.

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Phys. Rev. D 2, 1663 – Published 15 October, 1970

DOI: https://doi.org/10.1103/PhysRevD.2.1663

Abstract

Three-body final-state interactions are considered for simple cases within the framework of the Khuri-Treiman equation. It is noted that an approximation to partial-wave amplitudes, which consists essentially of the direct- and crossed-channel Watson terms, reproduces the analytic properties of the exact amplitudes to a considerable extent, particularly in the vicinity of the physical region.

References (28)

C. Kacser, Phys. Rev. 132, 2712 (1963)
J. B. Bronzan, Phys. Rev. 134, B687 (1964)
J. B. Bronzan and C. Kacser, Phys. Rev. 132, 2703 (1963)
R. D. Amado and J. V. Noble [Phys. Rev. 185, 1993 (1969)] [7]
[1]
[1]
G. Bonnevay, Nuovo Cimento 30, 1325 (1963)
[1]
[7]
I. J. R. Aitchison, Nuovo Cimento 35, 434 (1964)
C. Schmid, Phys. Rev. 154, 1363 (1967)
[7] [2,11] I. J. R. Aitchison, Nuovo Cimento 51A, 249 (1967) ibid.51A, 271 (1967) [4] C. Lovelace, Phys. Letters 28B, 264 (1968)
G. Barton, Dispersion Techniques in Field Theory (Benjamin, New York, 1965), p. 167 ff
Omitted endnote
R. Omnès, Nuovo Cimento 8, 316 (1958)
[2] [10] [10] [7] [11]
[1]
[2]
[7]
Omitted endnote
[1]
Aitchison quoted in [12]
[1] [1]
[7] [28]
Omitted endnote
[28]
Omitted endnote
[10,11] I. J. R. Aitchison and C. Kacser, Phys. Rev. 173, 1700 (1968) [11] [2,4,10,11]

[c1] C. Kacser, Phys. Rev. 132, 2712 (1963)

[c2] J. B. Bronzan, Phys. Rev. 134, B687 (1964)

[c3] J. B. Bronzan and C. Kacser, Phys. Rev. 132, 2703 (1963)

[c4] R. D. Amado and J. V. Noble [Phys. Rev. 185, 1993 (1969)] [7]

[c5] [1]

[c6] [1]

[c7] G. Bonnevay, Nuovo Cimento 30, 1325 (1963)

[c8] [1]

[c9] [7]

[c10] I. J. R. Aitchison, Nuovo Cimento 35, 434 (1964)

[c11] C. Schmid, Phys. Rev. 154, 1363 (1967)

[c12] [7] [2,11] I. J. R. Aitchison, Nuovo Cimento 51A, 249 (1967) ibid.51A, 271 (1967) [4] C. Lovelace, Phys. Letters 28B, 264 (1968)

[c13] G. Barton, Dispersion Techniques in Field Theory (Benjamin, New York, 1965), p. 167 ff

[c14] Omitted endnote

[c15] R. Omnès, Nuovo Cimento 8, 316 (1958)

[c16] [2] [10] [10] [7] [11]

[c17] [1]

[c18] [2]

[c19] [7]

[c20] Omitted endnote

[c21] [1]

[c22] Aitchison quoted in [12]

[c23] [1] [1]

[c24] [7] [28]

[c25] Omitted endnote

[c26] [28]

[c27] Omitted endnote

[c28] [10,11] I. J. R. Aitchison and C. Kacser, Phys. Rev. 173, 1700 (1968) [11] [2,4,10,11]

Physical Review D

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Direct and Crossed Watson Terms in Three-Body Final-State Interactions

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References (28)

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