Determination of the Slopes of Diffraction Peaks for Hadronic Processes

Charles B. Chiu; Rudolph C. Hwa

doi:10.1103/PhysRevD.4.224

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Determination of the Slopes of Diffraction Peaks for Hadronic Processes

Charles B. Chiu

Rudolph C. Hwa

California Institute of Technology, Pasadena, California 91109

Institute for Theoretical Physics, State University of New York, Stony Brook, New York 11790

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Phys. Rev. D 4, 224 – Published 1 July, 1971

DOI: https://doi.org/10.1103/PhysRevD.4.224

Abstract

A dispersion formula for the Pomeranchukon form factor is derived in the bootstrap model. In this model the Pomeranchukon is a fixed branch point at $j = 1$ . Furthermore, the discontinuity of the branch cut vanishes at the tip of the cut. Thus, in the neighborhood of $j = 1$ , the Pomeranchukon is weak. This property makes possible the linearization of the $t$ -channel unitarity equation, which relates the Pomeranchukon form factor with the non-Pomeranchukon background. Assuming only $f (1260)$ and $f^{'} (1514)$ contributions to the $I = 0$ , even-signature, non-Pomeranchukon background, we calculate the slopes of the diffraction peaks for high-energy processes involving $N$ , $π$ , $K$ , $ρ$ , $ω$ , and $φ$ . No parameters are used. The results agree well with experimental data.

References (12)

R. C. Hwa, Phys. Rev. D 1, 1790 (1970)
R. C. Hwa, Phys. Rev. Letters 25, 1728 (1970)
T. T. Wu and C. N. Yang, Phys. Rev. 137, B708 (1965)
T. T. Chou and C. N. Yang, Phys. Rev. 170, 1591 (1968)
R. C. Arnold, Phys. Rev. Letters 14, 657 (1965) H. Harari, ibid. 20, 1395 (1968)
C. B. Chiu and J. Finkelstein, Phys. Letters 27B, 510 (1968)
C. B. Chiu and R. C. Hwa, Phys. Rev. D 3, 3078 (1971)
V. Barger and D. Cline, Nucl. Phys. B23, 227 (1970)
A. Silverman, in International Symposium on Electron and Photon Interactions at High Energies, Liverpool, England, 1969, edited by D. W. Braben and R. E. Rand (Daresbury Nuclear Physics Laboratory, Daresbury, Lancashire, England, 1970), p. 71
R. Anderson et al., Phys. Rev. D 1, 27 (1970)
J. Benecke, T. T. Chou, C. N. Yang, and E. Yen, Phys. Rev. 188, 2159 (1969)
G. G. Beznogikh et al., Phys. Letters 30B, 274 (1969)

[c1] R. C. Hwa, Phys. Rev. D 1, 1790 (1970)

[c2] R. C. Hwa, Phys. Rev. Letters 25, 1728 (1970)

[c3] T. T. Wu and C. N. Yang, Phys. Rev. 137, B708 (1965)

[c4] T. T. Chou and C. N. Yang, Phys. Rev. 170, 1591 (1968)

[c5] R. C. Arnold, Phys. Rev. Letters 14, 657 (1965) H. Harari, ibid. 20, 1395 (1968)

[c6] C. B. Chiu and J. Finkelstein, Phys. Letters 27B, 510 (1968)

[c7] C. B. Chiu and R. C. Hwa, Phys. Rev. D 3, 3078 (1971)

[c8] V. Barger and D. Cline, Nucl. Phys. B23, 227 (1970)

[c9] A. Silverman, in International Symposium on Electron and Photon Interactions at High Energies, Liverpool, England, 1969, edited by D. W. Braben and R. E. Rand (Daresbury Nuclear Physics Laboratory, Daresbury, Lancashire, England, 1970), p. 71

[c10] R. Anderson et al., Phys. Rev. D 1, 27 (1970)

[c11] J. Benecke, T. T. Chou, C. N. Yang, and E. Yen, Phys. Rev. 188, 2159 (1969)

[c12] G. G. Beznogikh et al., Phys. Letters 30B, 274 (1969)

Physical Review D

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Determination of the Slopes of Diffraction Peaks for Hadronic Processes

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References (12)

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