Hard-Pion Current-Algebra Calculation of meson Processes—Three-Point Functions

R. Arnowitt; M. H. Friedman; P. Nath

doi:10.1103/PhysRev.174.1999

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Hard-Pion Current-Algebra Calculation of meson Processes—Three-Point Functions

R. Arnowitt, M. H. Friedman, and P. Nath

Department of Physics, Northeastern University, Boston, Massachusetts

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Phys. Rev. 174, 1999 – Published 25 October, 1968

DOI: https://doi.org/10.1103/PhysRev.174.1999

Abstract

Hard-pion techniques are presented for calculating vertex functions involving $π$ , $ρ$ , $A_{1}$ , and $σ$ mesons. The development of the method involves the following assumptions: (a) saturation of intermediate sums by single mesons, (b) chiral $SU (2) \times SU (2)$ algebra commutation relations, (c) conservation of vector current, and (d) partial conservation of axial-vector current.

References (15)

M. Gell-Mann, Physics 1, 63 (1964)
R. F. Dashen, in Proceedings of the VIII International Conference on High-Energy Nuclear Physics (University of California Press, Berkeley, 1967)
L. S. Kisslinger, Phys. Rev. Letters 18, 861 (1967)
R. Arnowitt, M. H. Friedman, and P. Nath, Phys. Rev. Letters 19, 1085 (1967)
[4] H. Schnitzer and S. Weinberg [Phys. Rev. 164, 1828 (1967)] S. G. Brown and G. W. West [Phys. Rev. Letters 19, 812 (1967) Phys. Rev. 168, 1605 (1968)] J. Schwinger [Phys. Letters 24B, 473 (1967)] J. Wess and B. Zumino [Phys. Rev. 163, 1727 (1967)] B. Lee and H. T. Nieh [ibid. 166, 1507 (1968)] T. Das, V. S. Mathur, and S. Okubo [Phys. Rev. Letters 19, 859 (1967)] D. A. Geffen [ibid. 19, 770 (1967)]
S. Weinberg, Phys. Rev. Letters 18, 507 (1967)
R. Arnowitt, M. H. Friedman, and P. Nath, following paper, Phys. Rev. 174, 2008 (1968)
Omitted endnote
Omitted endnote
Omitted endnote
R. Arnowitt, M. H. Friedman, P. Nath, and R. Suitor, Phys. Rev. (to be published)
W. D. Walker, J. Carroll, A. Garfinkel, and B. Y. Oh, Phys. Rev. Letters 18, 630 (1967) E. Malamud and P. E. Schlein, 19, 1056 (1967)
R. Arnowitt, M. H. Friedman, P. Nath, and R. Suitor, Phys. Rev. Letters 20, 475 (1968) [11]
K. Kawarabayashi and M. Suzuki, Phys. Rev. Letters 16, 255 (1966) Riazuddin and Fayyazuddin, Phys. Rev. 147, 1071 (1966) J. J. Sakurai, Phys. Rev. Letters 17, 552 (1966)
R. Arnowitt, M. H. Friedman, and P. Nath, Nucl. Phys. B5, 115 (1968)

[c1] M. Gell-Mann, Physics 1, 63 (1964)

[c2] R. F. Dashen, in Proceedings of the VIII International Conference on High-Energy Nuclear Physics (University of California Press, Berkeley, 1967)

[c3] L. S. Kisslinger, Phys. Rev. Letters 18, 861 (1967)

[c4] R. Arnowitt, M. H. Friedman, and P. Nath, Phys. Rev. Letters 19, 1085 (1967)

[c5] [4] H. Schnitzer and S. Weinberg [Phys. Rev. 164, 1828 (1967)] S. G. Brown and G. W. West [Phys. Rev. Letters 19, 812 (1967) Phys. Rev. 168, 1605 (1968)] J. Schwinger [Phys. Letters 24B, 473 (1967)] J. Wess and B. Zumino [Phys. Rev. 163, 1727 (1967)] B. Lee and H. T. Nieh [ibid. 166, 1507 (1968)] T. Das, V. S. Mathur, and S. Okubo [Phys. Rev. Letters 19, 859 (1967)] D. A. Geffen [ibid. 19, 770 (1967)]

[c6] S. Weinberg, Phys. Rev. Letters 18, 507 (1967)

[c7] R. Arnowitt, M. H. Friedman, and P. Nath, following paper, Phys. Rev. 174, 2008 (1968)

[c8] Omitted endnote

[c9] Omitted endnote

[c10] Omitted endnote

[c11] R. Arnowitt, M. H. Friedman, P. Nath, and R. Suitor, Phys. Rev. (to be published)

[c12] W. D. Walker, J. Carroll, A. Garfinkel, and B. Y. Oh, Phys. Rev. Letters 18, 630 (1967) E. Malamud and P. E. Schlein, 19, 1056 (1967)

[c13] R. Arnowitt, M. H. Friedman, P. Nath, and R. Suitor, Phys. Rev. Letters 20, 475 (1968) [11]

[c14] K. Kawarabayashi and M. Suzuki, Phys. Rev. Letters 16, 255 (1966) Riazuddin and Fayyazuddin, Phys. Rev. 147, 1071 (1966) J. J. Sakurai, Phys. Rev. Letters 17, 552 (1966)

[c15] R. Arnowitt, M. H. Friedman, and P. Nath, Nucl. Phys. B5, 115 (1968)

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Hard-Pion Current-Algebra Calculation of meson Processes—Three-Point Functions

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