Dual Absorptive Model and Structure in Inelastic Reactions

Min-Shih Chen; Frank E. Paige

doi:10.1103/PhysRevD.5.2760

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Dual Absorptive Model and Structure in Inelastic Reactions

Min-Shih Chen and Frank E. Paige

Brookhaven National Laboratory, Upton, New York 11973

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Phys. Rev. D 5, 2760 – Published 1 June, 1972

DOI: https://doi.org/10.1103/PhysRevD.5.2760

Abstract

The implications of a model for two-body scattering amplitudes combining duality and strong absorption are investigated for inelastic reactions. At $t = t_{c}$ , where the imaginary part of the helicity-nonflip amplitude vanishes in the model, predictions about the real part can be made via fixed- $t$ dispersion relations. Strong results can be thus obtained for amplitudes which are antisymmetric under $s \leftrightarrow u$ crossing. As examples, definite predictions on $π^{-} p \to π^{0} n$ polarization and $K_{L}^{0} p \to K_{S}^{0} p$ differential cross section at $t = t_{c}$ are made. The general case without the $s \leftrightarrow u$ antisymmetry is also discussed.

References (13)

H. Harari, Ann. Phys. (N.Y.) 63, 432 (1971)
M. Davier and H. Harari, Phys. Letters 35B, 239 (1971)
H. Harari, Phys. Rev. Letters 26, 1400 (1971)
M. Jacob and G. C. Wick, Ann. Phys. (N.Y.) 7, 404 (1959)
Omitted endnote
R. Dolen, D. Horn, and C. Schmid, Phys. Rev. 166, 1768 (1968)
G. Höhler, H. Schaile, and P. Sonderegger, Phys. Letters 20, 79 (1966)
P. Bonamy et al., Phys. Letters 23, 501 (1966)
F. J. Gilman, Phys. Rev. 171, 1453 (1968)
R. Odorico, A. Garcia, and C. A. Garcia-Canal, Phys. Letters 32B, 375 (1970)
P. Astbury et al., Phys. Letters 23, 396 (1966)
A. D. Brody et al., Phys. Rev. Letters 26, 1050 (1971)
T. L. Trueman and G. C. Wick, Ann. Phys. (N.Y.) 26, 322 (1964)

[c1] H. Harari, Ann. Phys. (N.Y.) 63, 432 (1971)

[c2] M. Davier and H. Harari, Phys. Letters 35B, 239 (1971)

[c3] H. Harari, Phys. Rev. Letters 26, 1400 (1971)

[c4] M. Jacob and G. C. Wick, Ann. Phys. (N.Y.) 7, 404 (1959)

[c5] Omitted endnote

[c6] R. Dolen, D. Horn, and C. Schmid, Phys. Rev. 166, 1768 (1968)

[c7] G. Höhler, H. Schaile, and P. Sonderegger, Phys. Letters 20, 79 (1966)

[c8] P. Bonamy et al., Phys. Letters 23, 501 (1966)

[c9] F. J. Gilman, Phys. Rev. 171, 1453 (1968)

[c10] R. Odorico, A. Garcia, and C. A. Garcia-Canal, Phys. Letters 32B, 375 (1970)

[c11] P. Astbury et al., Phys. Letters 23, 396 (1966)

[c12] A. D. Brody et al., Phys. Rev. Letters 26, 1050 (1971)

[c13] T. L. Trueman and G. C. Wick, Ann. Phys. (N.Y.) 26, 322 (1964)

Physical Review D

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Dual Absorptive Model and Structure in Inelastic Reactions

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