Universal Isovector Current with Many <span class="aps-inline-formula"><math xmlns="http://www.w3.org/1998/Math/MathML" display="inline"><mrow><msup><mrow><mn>1</mn></mrow><mrow><mo>−</mo></mrow></msup></mrow></math></span> Poles

S. Nussinov; J. Rosner

doi:10.1103/PhysRevD.1.656

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Universal Isovector Current with Many $1^{-}$ Poles

S. Nussinov^*

J. Rosner^†

Brookhaven National Laboratory, Upton, New York 11973 and Physics Department, Tel-Aviv University, Ramat-Aviv, Israel

School of Physics and Astronomy, University of Minnesota, Minneapolis, Minnesota 55455

^*Work supported in part by the U. S. Air Force under Grant No. EOOAR-68-0010, through the European Office of Aerospace Research.
^†Supported in part by the U. S. Atomic Energy Commission under Contract No. AT-(11-1)-1764.

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Phys. Rev. D 1, 656 – Published 15 January, 1970

DOI: https://doi.org/10.1103/PhysRevD.1.656

Abstract

A simple prescription is suggested for preserving universality of the isovector current in the presence of many $1^{-}$ poles $ρ_{i}$ . By identifying $g_{ρ_{p - γ}}$ as proportional to $g_{ρ_{i} π π}$ , predictions are made regarding (a) the modification of the Kawarabayashi-Suzuki-Riazuddin-Fayyazuddin relation, (b) charge radii, (c) $π π$ resonance production in colliding beam experiments, (d) high-energy $ρ$ meson photoproduction and photoabsorption, (e) photoproduction of $ρ^{'}$ and $ρ^{''}$ , and (f) asymptotic behavior of form factors.

References (26)

Y. Nambu and J. J. Sakurai, Phys. Rev. Letters 8, 79 (1962) ibid.8, 191 (E) (1962) M. Gell-Mann, D. Sharp, and W. Wagner, ibid. 8, 261 (1962)
S. Weinberg, Phys. Rev. Letters 17, 616 (1966)
Omitted endnote
Omitted endnote
J. J. Sakurai, Phys. Rev. Letters 17, 1021 (1966)
S. Adler, Phys. Rev. 140, 736 (1965) W. Weisberger, ibid. 143, 1302 (1966)
D. Atkinson and M. B. Halpern, Phys. Rev. 166, 1724 (1968)
Omitted endnote
K. Kawarabayashi and M. Suzuki, Phys. Letters 16, 255 (1966) Riazuddin and Fayyazuddin, Phys. Rev. 147, 1071 (1966)
A. Akerlof et al., Phys. Rev. 163, 1482 (1967) C. Mistretta et al., Phys. Rev. Letters 20, 1523 (1968)
J. Yellin and J. Shapiro, University of California Lawrence Radiation Laboratory Report No. UCRL-18500 (unpublished) C. Lovelace, Phys. Letters 28B, 264 (1968) G. Veneziano, Nuovo Cimento 57A, 190 (1968) J. Shapiro, Phys. Rev. 179, 1345 (1969)
S. Fenster and K. C. Wali (private communication)
G. J. Gounaris and J. J. Sakurai, Phys. Rev. Letters 21, 244 (1968)
V. L. Auslander et al., Phys. Letters 25B, 433 (1967) [R. Arnowitt and J. J. Sakurai (private communication)]
J. E. Augustin et al., Phys. Letters 28B, 508 (1969)
G. McClellan et al., Phys. Rev. Letters 22, 377 (1968) F. Bulos et al., ibid. 22, 490 (1969)
S. Brodsky and J. Pumplin, Phys. Rev. 182, 1794 (1969)
G. McClellan et al., Phys. Rev. Letters 23, 718 (1969)
M. Krammer (private communication)
S. Christiansen, G. Hicks, L. Lederman, P. Liaman, B. Pope, and E. Zavattini, Brookhaven National Laboratory Report (unpublished)
S. Berman [L. Lederman and E. Zavattini (private communication)]
Omitted endnote
Omitted endnote
V. Singh, Phys. Rev. 129, 1889 (1963)
F. Hayot (private communication)
[R. Dashen and I. Muzinich (unpublished)] [R. Arnowitt (private communication)] [I. Gerstein, K. Gottfried, and K. Huang (unpublished)]

[c1] Y. Nambu and J. J. Sakurai, Phys. Rev. Letters 8, 79 (1962) ibid.8, 191 (E) (1962) M. Gell-Mann, D. Sharp, and W. Wagner, ibid. 8, 261 (1962)

[c2] S. Weinberg, Phys. Rev. Letters 17, 616 (1966)

[c3] Omitted endnote

[c4] Omitted endnote

[c5] J. J. Sakurai, Phys. Rev. Letters 17, 1021 (1966)

[c6] S. Adler, Phys. Rev. 140, 736 (1965) W. Weisberger, ibid. 143, 1302 (1966)

[c7] D. Atkinson and M. B. Halpern, Phys. Rev. 166, 1724 (1968)

[c8] Omitted endnote

[c9] K. Kawarabayashi and M. Suzuki, Phys. Letters 16, 255 (1966) Riazuddin and Fayyazuddin, Phys. Rev. 147, 1071 (1966)

[c10] A. Akerlof et al., Phys. Rev. 163, 1482 (1967) C. Mistretta et al., Phys. Rev. Letters 20, 1523 (1968)

[c11] J. Yellin and J. Shapiro, University of California Lawrence Radiation Laboratory Report No. UCRL-18500 (unpublished) C. Lovelace, Phys. Letters 28B, 264 (1968) G. Veneziano, Nuovo Cimento 57A, 190 (1968) J. Shapiro, Phys. Rev. 179, 1345 (1969)

[c12] S. Fenster and K. C. Wali (private communication)

[c13] G. J. Gounaris and J. J. Sakurai, Phys. Rev. Letters 21, 244 (1968)

[c14] V. L. Auslander et al., Phys. Letters 25B, 433 (1967) [R. Arnowitt and J. J. Sakurai (private communication)]

[c15] J. E. Augustin et al., Phys. Letters 28B, 508 (1969)

[c16] G. McClellan et al., Phys. Rev. Letters 22, 377 (1968) F. Bulos et al., ibid. 22, 490 (1969)

[c17] S. Brodsky and J. Pumplin, Phys. Rev. 182, 1794 (1969)

[c18] G. McClellan et al., Phys. Rev. Letters 23, 718 (1969)

[c19] M. Krammer (private communication)

[c20] S. Christiansen, G. Hicks, L. Lederman, P. Liaman, B. Pope, and E. Zavattini, Brookhaven National Laboratory Report (unpublished)

[c21] S. Berman [L. Lederman and E. Zavattini (private communication)]

[c22] Omitted endnote

[c23] Omitted endnote

[c24] V. Singh, Phys. Rev. 129, 1889 (1963)

[c25] F. Hayot (private communication)

[c26] [R. Dashen and I. Muzinich (unpublished)] [R. Arnowitt (private communication)] [I. Gerstein, K. Gottfried, and K. Huang (unpublished)]

Physical Review D

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Universal Isovector Current with Many $1^{-}$ Poles

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Universal Isovector Current with Many 1− Poles

Abstract

References (26)

Universal Isovector Current with Many $1^{-}$ Poles