Chiral <span class="aps-inline-formula"><math xmlns="http://www.w3.org/1998/Math/MathML" display="inline"><mi>SU</mi><mo>(</mo><mn>3</mn><mo>)</mo><mn></mn><mo>⊗</mo><mi>SU</mi><mo>(</mo><mn>3</mn><mo>)</mo><mn></mn></math></span> Three-Point Functions: Single-Particle Approximation

Ira S. Gerstein; Howard J. Schnitzer

doi:10.1103/PhysRev.175.1876

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Chiral $SU (3) \otimes SU (3)$ Three-Point Functions: Single-Particle Approximation

Ira S. Gerstein

Howard J. Schnitzer^*

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

Department of Physics, Brandeis University, Waltham, Massachusetts 02154

^*Research supported in part by the National Science Foundation.

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Phys. Rev. 175, 1876 – Published 25 November, 1968

DOI: https://doi.org/10.1103/PhysRev.175.1876

Abstract

We approximate the three-point functions constructed previously by using a single-particle approximation to all propagators and assuming that the primitive three-point functions are slowly varying functions of the momenta. We use the available data on strong and weak decays of spin-one and spin-zero mesons to compute the values of the parameters introduced in our model, with special reference to $K_{l 3}$ decay.

References (25)

I. S. Gerstein, H. J. Schnitzer, and S. Weinberg, Phys. Rev. 175, 1873 (1968)
S. L. Glashow and S. Weinberg, Phys. Rev. Letters 20, 224 (1968) S. L. Glashow in Proceedings of the International School of Physics, Ettore Majorana (1967). Edited by E. R. Caianiello (Academic Press Inc., New York, 1968)
Omitted endnote
S. Coleman and H. J. Schnitzer, Phys. Rev. 134, B863 (1964)
[2]
I. S. Gerstein and H. J. Schnitzer, Phys. Rev. 170, 1638 (1968)
H. J. Schnitzer and S. Weinberg, Phys. Rev. 164, 1828 (1967)
K. Kawarabayashi and M. Suzuki, Phys. Rev. Letters 16, 225 (1966) Riazuddin and Fayyazuddin, Phys. Rev. 147, 1071 (1966)
L. N. Chang and Y. C. Leung, Phys. Rev. Letters 21, 122 (1968)
Omitted endnote
A. H. Rosenfeld et al. Rev. Mod. Phys. 40, 77 (1968) N. Cabibbo, in Thirteenth Annual International Conference on High-Energy Physics, Berkeley, 1966 (University of California Press, Berkeley, 1967), p. 29 W. Willis, Proceedings of the International Conference on High Energy Physics, Heidelberg, 1967, edited by H. Filthuth (North-Holland Publishing Co., Amsterdam, 1968)
S. Weinberg, Phys. Rev. Letters 18, 507 (1967)
T. D. Lee, S. Weinberg, and B. Zumino, Phys. Rev. Letters 18, 1029 (1967)
Omitted endnote
[6]
Omitted endnote
[9]
Omitted endnote
B. W. Lee, Phys. Rev. Letters 20, 617 (1968)
S. Fenster and F. Hussain, Phys. Rev. 169, 1314 (1968)
C. S. Lai and B. L. Young, Phys. Rev. 169, 1241 (1968)
Riazuddin and A. Q. Sarker, Phys. Rev. 173, 1752 (1968)
H. T. Nieh, Phys. Rev. Letters 21, 116 (1968) N. H. Fuchs, Phys. Rev. 170, 1310 (1968) ibid.172, 1532 (1968) J. Mackey, J. McKissic, D. Scott, and W. Wada, 172, 1590 (1968)
D. Majumdar, Phys. Rev. Letters 20, 971 (1968) P. K. Mitter and L. J. Swank, University of Maryland Report (unpublished) P. P. Srivastava, CERN Report (unpublished)
Riazuddin and A. Q. Sarker, Phys. Rev. Letters 20, 1455 (1968) [20,21]

[c1] I. S. Gerstein, H. J. Schnitzer, and S. Weinberg, Phys. Rev. 175, 1873 (1968)

[c2] S. L. Glashow and S. Weinberg, Phys. Rev. Letters 20, 224 (1968) S. L. Glashow in Proceedings of the International School of Physics, Ettore Majorana (1967). Edited by E. R. Caianiello (Academic Press Inc., New York, 1968)

[c3] Omitted endnote

[c4] S. Coleman and H. J. Schnitzer, Phys. Rev. 134, B863 (1964)

[c5] [2]

[c6] I. S. Gerstein and H. J. Schnitzer, Phys. Rev. 170, 1638 (1968)

[c7] H. J. Schnitzer and S. Weinberg, Phys. Rev. 164, 1828 (1967)

[c8] K. Kawarabayashi and M. Suzuki, Phys. Rev. Letters 16, 225 (1966) Riazuddin and Fayyazuddin, Phys. Rev. 147, 1071 (1966)

[c9] L. N. Chang and Y. C. Leung, Phys. Rev. Letters 21, 122 (1968)

[c10] Omitted endnote

[c11] A. H. Rosenfeld et al. Rev. Mod. Phys. 40, 77 (1968) N. Cabibbo, in Thirteenth Annual International Conference on High-Energy Physics, Berkeley, 1966 (University of California Press, Berkeley, 1967), p. 29 W. Willis, Proceedings of the International Conference on High Energy Physics, Heidelberg, 1967, edited by H. Filthuth (North-Holland Publishing Co., Amsterdam, 1968)

[c12] S. Weinberg, Phys. Rev. Letters 18, 507 (1967)

[c13] T. D. Lee, S. Weinberg, and B. Zumino, Phys. Rev. Letters 18, 1029 (1967)

[c14] Omitted endnote

[c15] [6]

[c16] Omitted endnote

[c17] [9]

[c18] Omitted endnote

[c19] B. W. Lee, Phys. Rev. Letters 20, 617 (1968)

[c20] S. Fenster and F. Hussain, Phys. Rev. 169, 1314 (1968)

[c21] C. S. Lai and B. L. Young, Phys. Rev. 169, 1241 (1968)

[c22] Riazuddin and A. Q. Sarker, Phys. Rev. 173, 1752 (1968)

[c23] H. T. Nieh, Phys. Rev. Letters 21, 116 (1968) N. H. Fuchs, Phys. Rev. 170, 1310 (1968) ibid.172, 1532 (1968) J. Mackey, J. McKissic, D. Scott, and W. Wada, 172, 1590 (1968)

[c24] D. Majumdar, Phys. Rev. Letters 20, 971 (1968) P. K. Mitter and L. J. Swank, University of Maryland Report (unpublished) P. P. Srivastava, CERN Report (unpublished)

[c25] Riazuddin and A. Q. Sarker, Phys. Rev. Letters 20, 1455 (1968) [20,21]

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Chiral $SU (3) \otimes SU (3)$ Three-Point Functions: Single-Particle Approximation

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Chiral SU(3)⊗SU(3) Three-Point Functions: Single-Particle Approximation

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References (25)

Chiral $SU (3) \otimes SU (3)$ Three-Point Functions: Single-Particle Approximation