Vector-Dominance Model and Photoproduction of Pions

Stanley G. Brown

doi:10.1103/PhysRevD.1.207

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Vector-Dominance Model and Photoproduction of Pions

Stanley G. Brown

Laboratory for Nuclear Science and Department of Physics, Massachusetts Institute of Technology, Cambridge, Massachusetts 02139

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Phys. Rev. D 1, 207 – Published 1 January, 1970

DOI: https://doi.org/10.1103/PhysRevD.1.207

Abstract

The relation between the processes $γ + N \to π + N$ and $π + N \to ρ + N$ , according to the vector-dominance model (VDM), is reexamined. The VDM is defined in terms of the behavior of the invariants in the matrix elements of the vector current. The consequences of the VDM, and assumptions about asymptotic properties, for measurable quantities are discussed. The inability of the VDM to account for the results of polarized-photoproduction experiments is confirmed. An appendix provides a detailed discussion of the relation between invariants and density matrix elements in various frames.

References (16)

J. J. Sakurai, in Lectures in Theoretical Physics (Gordon and Breach, Science Publishers, Inc., New York, 1969), Vol. XI
G. Weber and R. E. Taylor, in Proceedings of the 1967 International Symposium on Electron and Phonon Interactions at High Energies (Stanford Linear Accelerator Center, Stanford, Calif., 1967) [G. McClellan et al., Phys. Rev. Letters 22, 377 (1969) F. Bulos et al., ibid. 22 490 (1969)] [J. E. Augustin et al., Phys. Letters 28B, 503 (1969)]
Omitted endnote
C. Geweniger et al., Phys. Letters 28B, 155 (1968) R. Diebold and J. A. Poirier, Phys. Rev. Letters 22, 255 (1969) L. J. Gutay et al., ibid. 22, 424 (1969)
A. Bialas and K. Zalewski, Phys. Letters 28B, 436 (1969)
F. T. Meiere, Phys. Rev. 182, 1561 (1969)
F. T. Meiere, Phys. Letters 30B, 44 (1969)
Z. G. T. Guiragossian and A. Levy, Phys. Letters 30B, 48 (1969)
Omitted endnote
B. Richter, in Proceedings of the 1967 International Symposium on Electron and Photon Interactions at High Energies (Stanford Linear Accelerator Center, Stanford, Calif., 1967)
Meiere ([7])
Omitted endnote
R. Diebold and J. A. Poirier, Phys. Rev. Letters 22, 906 (1969) [8]
M. Krammer (private communication)
M. Krammer and D. Schildknecht, Nucl. Phys. B7, 583 (1968) H. Fraas and D. Schildknecht [ibid. B6, 395 (1968)]
J. T. Donohue and H. Högaasen, Phys. Letters 25B, 554 (1967)

[c1] J. J. Sakurai, in Lectures in Theoretical Physics (Gordon and Breach, Science Publishers, Inc., New York, 1969), Vol. XI

[c2] G. Weber and R. E. Taylor, in Proceedings of the 1967 International Symposium on Electron and Phonon Interactions at High Energies (Stanford Linear Accelerator Center, Stanford, Calif., 1967) [G. McClellan et al., Phys. Rev. Letters 22, 377 (1969) F. Bulos et al., ibid. 22 490 (1969)] [J. E. Augustin et al., Phys. Letters 28B, 503 (1969)]

[c3] Omitted endnote

[c4] C. Geweniger et al., Phys. Letters 28B, 155 (1968) R. Diebold and J. A. Poirier, Phys. Rev. Letters 22, 255 (1969) L. J. Gutay et al., ibid. 22, 424 (1969)

[c5] A. Bialas and K. Zalewski, Phys. Letters 28B, 436 (1969)

[c6] F. T. Meiere, Phys. Rev. 182, 1561 (1969)

[c7] F. T. Meiere, Phys. Letters 30B, 44 (1969)

[c8] Z. G. T. Guiragossian and A. Levy, Phys. Letters 30B, 48 (1969)

[c9] Omitted endnote

[c10] B. Richter, in Proceedings of the 1967 International Symposium on Electron and Photon Interactions at High Energies (Stanford Linear Accelerator Center, Stanford, Calif., 1967)

[c11] Meiere ([7])

[c12] Omitted endnote

[c13] R. Diebold and J. A. Poirier, Phys. Rev. Letters 22, 906 (1969) [8]

[c14] M. Krammer (private communication)

[c15] M. Krammer and D. Schildknecht, Nucl. Phys. B7, 583 (1968) H. Fraas and D. Schildknecht [ibid. B6, 395 (1968)]

[c16] J. T. Donohue and H. Högaasen, Phys. Letters 25B, 554 (1967)

Physical Review D

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Vector-Dominance Model and Photoproduction of Pions

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