Parity Rule and Helicity Conservation in <span class="aps-inline-formula"><math xmlns="http://www.w3.org/1998/Math/MathML" display="inline"><mi>ρ</mi></math></span> Photoproduction

M. Barmawi

doi:10.1103/PhysRevD.4.861

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Parity Rule and Helicity Conservation in $ρ$ Photoproduction

M. Barmawi^*

International Centre for Theoretical Physics, Miramare-Trieste, Italy

^*On leave of absence from Physics Department, Institute of Technology, Bandung, Indonesia.

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Phys. Rev. D 4, 861 – Published 1 August, 1971

DOI: https://doi.org/10.1103/PhysRevD.4.861

Abstract

The parity rule for natural- and unnatural-parity exchange is proved on the basis of the $L - S$ scheme. The parity rule is shown to be a general feature of $t$ -channel exchange processes. Experimental consequences of the parity rule are discussed. The $s$ -channel helicity conservation in $ρ^{0}$ photoproduction is considered on the basis of the Regge-pole model with $L - S$ coupling and general arguments from the complex-angular-momentum theory. It is found that the $s$ -channel helicity conservation in $ρ^{0}$ photoproduction can be described by the coupling $L = α - 2$ , $S = 2$ with a multiplicative fixed pole at the nonsense wrong-signature point $α = 1$ .

References (37)

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R. Oehme, in Springer Tracts in Modern Physics, edited by G. Höhler (Springer, Berlin, 1971), Vol. 57, p. 199
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M. Barmawi, Phys. Rev. 142, 1187 (1966) Phys. Rev. Letters 16, 595 (1966)
M. Barmawi, Phys. Rev. 166, 1846 (1968)
M. Barmawi, Phys. Rev. 166, 1857 (1968)
[1]
J. D. Jackson and G. E. Hite, Phys. Rev. 169, 1248 (1968)
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[1]
Omitted endnote
Cambridge Bubble Chamber Group, Phys. Rev. 146, 994 (1966) R. L. Anderson et al., Phys. Rev. D 1, 27 (1970) L. Criegee et al., Phys. Letters 28B, 282 (1968) 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 E. Lohrmann, Rapporteur's talk in Proceedings of the Lund International Conference on Elementary Particles, edited by G. von Dardel (Berlingska Boktryckerit, Lund, Sweden, 1970) DESY Report No. 69-21, 1969 (unpublished)
R. Oehme, Phys. Letters 30B, 414 (1969) [2]
G. Kramer, DESY Report No. 67/32 (unpublished)
M. Barmawi, Lett. Nuovo Cimento 4, 1235 (1970)
R. Oehme, Phys. Rev. Letters 18, 1222 (1967) [4]
S. Mandelstam and L. L. Wang, Phys. Rev. 160, 1490 (1967)
R. Oehme, Phys. Letters 28B, 122 (1968)
[H. F. Jones, Lett. Nuovo Cimento 4, 545 (1970)] [H. F. Jones and M. D. Scadron, Nucl. Phys. B14, 267 (1968)]
[1]
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K. Gottfried and J. D. Jackson, Nuovo Cimento 33, 309 (1964)
R. L. Thews, Phys. Rev. 175, 1749 (1968)
J. Finkelstein, Phys. Rev. Letters 24, 172 (1970)

[c1] P. D. B. Collins and E. J. Squires, Regge Poles in Particle Physics (Springer Verlag, Berlin, 1968) W. Drechsler, ICTP, Trieste, Internal Report No. IC/69/39 (unpublished) G. E. Hite, Rev. Mod. Phys. 41, 669 (1969) R. J. N. Phillips, Rutherford Laboratory report, 1970 (unpublished) J. D. Jackson, Rev. Mod. Phys. 42, 12 (1970) L. Van Hove, CERN Report No. CERN-TH-115, 1970 (unpublished)

[c2] R. Oehme, in Strong Interactions and High-Energy Physics, edited by R. G. Moorhouse (Oliver and Boyd, Edinburgh, Scotland, 1964), pp. 129-222

[c3] R. Oehme, in Springer Tracts in Modern Physics, edited by G. Höhler (Springer, Berlin, 1971), Vol. 57, p. 199

[c4] R. Oehme, in Springer Tracts in Modern Physics, edited by G. Höhler (Springer, Berlin, 1971), Vol. 57, p. 132

[c5] M. Gell-Mann, M. L. Goldberger, F. E. Low, E. Marx, and F. Zachariasen, Phys. Rev. 133, B145 (1964) [1]

[c6] Y. Hara, Phys. Rev. 136, B507 (1967) L. L. Wang, ibid. 142, 1187 (1968) G. Cohen-Tannoudji, A. Morel, and H. Navelet, Ann. Phys. (N.Y.) 16, 111 (1968) [1]

[c7] M. Barmawi, Phys. Rev. 142, 1187 (1966) Phys. Rev. Letters 16, 595 (1966)

[c8] M. Barmawi, Phys. Rev. 166, 1846 (1968)

[c9] M. Barmawi, Phys. Rev. 166, 1857 (1968)

[c10] [1]

[c11] J. D. Jackson and G. E. Hite, Phys. Rev. 169, 1248 (1968)

[c12] D. R. O. Morrison, Phys. Rev. 165, 1699 (1968) V. N. Gribov, Yadern. Fiz. 5, 197 (1967) [Soviet J. Nucl. Phys. 5, 138 (1967)]

[c13] J. Ballam et al., Phys. Rev. Letters 24, 955 (1970)

[c14] F. J. Gilman, J. Pumplin, A. Schwimmer, and L. Stodolsky, Phys. Letters 31B, 387 (1970) G. Höhler and R. Strauss, Z. Physik 232, 205 (1970)

[c15] Aachen-Berlin-Bonn-Hamburg-Heidelberg-München collaboration, Phys. Rev. 175, 1669 (1968) H. H. Bingham et al., Phys. Rev. Letters 24, 960 (1970) [13]

[c16] E. Leader, Phys. Rev. 166, 1599 (1968)

[c17] [1]

[c18] Omitted endnote

[c19] Cambridge Bubble Chamber Group, Phys. Rev. 146, 994 (1966) R. L. Anderson et al., Phys. Rev. D 1, 27 (1970) L. Criegee et al., Phys. Letters 28B, 282 (1968) 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 E. Lohrmann, Rapporteur's talk in Proceedings of the Lund International Conference on Elementary Particles, edited by G. von Dardel (Berlingska Boktryckerit, Lund, Sweden, 1970) DESY Report No. 69-21, 1969 (unpublished)

[c20] R. Oehme, Phys. Letters 30B, 414 (1969) [2]

[c21] G. Kramer, DESY Report No. 67/32 (unpublished)

[c22] M. Barmawi, Lett. Nuovo Cimento 4, 1235 (1970)

[c23] R. Oehme, Phys. Rev. Letters 18, 1222 (1967) [4]

[c24] S. Mandelstam and L. L. Wang, Phys. Rev. 160, 1490 (1967)

[c25] R. Oehme, Phys. Letters 28B, 122 (1968)

[c26] [H. F. Jones, Lett. Nuovo Cimento 4, 545 (1970)] [H. F. Jones and M. D. Scadron, Nucl. Phys. B14, 267 (1968)]

[c27] [1]

[c28] B. Diu and M. Le Bellac, Nuovo Cimento 53A, 158 (1968)

[c29] E. Gotsman and U. Maor, Phys. Rev. 171, 1495 (1968)

[c30] E. W. Anderson et al., Phys. Rev. Letters 25, 699 (1970)

[c31] R. L. Anderson et al., Phys. Rev. D 1, 27 (1970)

[c32] L. Bertocchi, in Proceedings of the International Conference on Elementary Particles, Heidelberg, Germany, 1967, edited by F. Filthuth (North-Holland, Amsterdam, 1968)

[c33] Y. Hara, Phys. Letters 23, 696 (1966) A. H. Mueller and T. L. Trueman, Phys. Rev. 160, 1296 (1967)

[c34] K. Schilling, P. Seyboth, and G. Wolf, Nucl. Phys. B15, 397 (1970)

[c35] K. Gottfried and J. D. Jackson, Nuovo Cimento 33, 309 (1964)

[c36] R. L. Thews, Phys. Rev. 175, 1749 (1968)

[c37] J. Finkelstein, Phys. Rev. Letters 24, 172 (1970)

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Parity Rule and Helicity Conservation in $ρ$ Photoproduction