The (1, 8)+(8, 1) Term in <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> Symmetry Breaking and the Parameter <math xmlns="http://www.w3.org/1998/Math/MathML" display="inline"><mi>ξ</mi></math> of <math xmlns="http://www.w3.org/1998/Math/MathML" display="inline"><mrow><msub><mrow><mi>K</mi></mrow><mrow><mi>l</mi><mn>3</mn><mn></mn></mrow></msub></mrow></math> Decay

K. Schilcher

doi:10.1103/PhysRevD.4.237

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The (1, 8)+(8, 1) Term in $SU (3) \times SU (3)$ Symmetry Breaking and the Parameter $ξ$ of $K_{l 3}$ Decay

K. Schilcher

Physics Department, American University of Beirut, Beirut, Lebanon

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Phys. Rev. D 4, 237 – Published 1 July, 1971

DOI: https://doi.org/10.1103/PhysRevD.4.237

Abstract

An estimate of the magnitude of the $SU (3) \times SU (3)$ symmetry-breaking term transforming as (1, 8)+(8, 1) is made using pole dominance in spectral-function sum rules. It is found that the corresponding parameter $ω$ is probably not small as commonly believed, but approximately -1. The results are applied to $K_{l 3}$ decay, where the symmetry-breaking scheme discussed in conjunction with "weak partial conservation of axial-vector current" implies large negative values of $ξ$ .

References (8)

M. Gell-Mann, R. J. Oakes, and B. Renner, Phys. Rev. 175, 2196 (1968)
R. Gatto, in Springer Tracts in Modern Physics, edited by G. Höhler (Springer, Berlin, 1970), Vol. 53, p. 46 R. Gatto, G. Sartori, and M. Tonin, Phys. Letters 28B, 128 (1968) P. R. Auvil and N. G. Deshpande, Phys. Rev. 183, 1463 (1969)
S. L. Glashow and S. Weinberg, Phys. Rev. Letters 20, 224 (1968)
R. A. Brandt and G. Preparata, Lett. Nuovo Cimento 4, 80 (1970)
$X_{2}$ collaboration, Phys. Letters 29B, 696 (1969)
R. Dashen and M. Weinstein, Phys. Rev. Letters 22, 1337 (1969)
M. Weinstein, Phys. Rev. D 3, 481 (1971)
R. Arnowitt, M. A. Friedman, and P. Nath, Phys. Rev. Letters 26, 104 (1971)

[c1] M. Gell-Mann, R. J. Oakes, and B. Renner, Phys. Rev. 175, 2196 (1968)

[c2] R. Gatto, in Springer Tracts in Modern Physics, edited by G. Höhler (Springer, Berlin, 1970), Vol. 53, p. 46 R. Gatto, G. Sartori, and M. Tonin, Phys. Letters 28B, 128 (1968) P. R. Auvil and N. G. Deshpande, Phys. Rev. 183, 1463 (1969)

[c3] S. L. Glashow and S. Weinberg, Phys. Rev. Letters 20, 224 (1968)

[c4] R. A. Brandt and G. Preparata, Lett. Nuovo Cimento 4, 80 (1970)

[c5] $X_{2}$ collaboration, Phys. Letters 29B, 696 (1969)

[c6] R. Dashen and M. Weinstein, Phys. Rev. Letters 22, 1337 (1969)

[c7] M. Weinstein, Phys. Rev. D 3, 481 (1971)

[c8] R. Arnowitt, M. A. Friedman, and P. Nath, Phys. Rev. Letters 26, 104 (1971)

Physical Review D

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The (1, 8)+(8, 1) Term in $SU (3) \times SU (3)$ Symmetry Breaking and the Parameter $ξ$ of $K_{l 3}$ Decay

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The (1, 8)+(8, 1) Term in SU(3)×SU(3) Symmetry Breaking and the Parameter ξ of Kl3 Decay

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References (8)

The (1, 8)+(8, 1) Term in $SU (3) \times SU (3)$ Symmetry Breaking and the Parameter $ξ$ of $K_{l 3}$ Decay