<span class="aps-inline-formula"><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></span> Decay, Elastic Unitarity, and the Symmetry-Breaking Parameter of the Vacuum States

Francis C. P. Chan

doi:10.1103/PhysRevD.4.189

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$K_{l 3}$ Decay, Elastic Unitarity, and the Symmetry-Breaking Parameter of the Vacuum States

Francis C. P. Chan

Saginaw Valley College, University Center, Michigan 48710

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Phys. Rev. D 4, 189 – Published 1 July, 1971

DOI: https://doi.org/10.1103/PhysRevD.4.189

Abstract

$K_{l 3}$ form factors are derived in the hard-pion approach without using vector- or axial-vector-meson dominance and with more general consideration of symmetry breaking. Elastic unitarity is employed for the vector form factor. The ratio $\frac{f {}_{-}{(0)}}{f {}_{+}{(0)}}$ is expressed in terms of the symmetry-breaking parameter, $b = \frac{〈 0 | u_{8} | 0 〉}{〈 0 | u_{0} | 0 〉}$ . It is found that current algebra can provide a satisfactory explanation for the decay parameters.

References (12)

C. G. Callan and S. B. Treiman, Phys. Rev. Letters 16, 153 (1966)
H. J. Schnitzer and S. Weinberg, Phys. Rev. 64, 1828 (1968) I. S. Gerstein and H. J. Schnitzer, ibid. 170, 1638 (1968)
J. Brehm, E. Golowich, and J. C. Prasad, Phys. Rev. Letters 23, 666 (1969) H. J. Schnitzer, ibid. 24, 1384 (1970) R. Rockmore, ibid. 24, 541 (1970) Phys. Rev. D 2, 593 (1970)
M. Gell-Mann, R. J. Oakes, and B. Renner, Phys. Rev. 175, 2195 (1968)
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X2 Collaboration, Phys. Rev. D 3, 10 (1971)
M. Gell-Mann, Phys. Rev. 125, 1067 (1962)
I. S. Gerstein and H. J. Schnitzer, Phys. Rev. 175, 1876 (1968) L. N. Chang and Y. C. Leung, Phys. Rev. Letters 21, 122 (1968)
S. Weinberg, Phys. Rev. Letters 18, 507 (1967)
G. J. Gounaris and J. J. Sakurai, Phys. Rev. Letters 21, 244 (1968)
R. Dashen and M. Weinstein, Phys. Rev. Letters 22, 1337 (1969)
R. Perrin, Phys. Rev. 172, 1675 (1968) S. Okubo and V. S. Mathur, Phys. Rev. Letters 23, 1412 (1969)

[c1] C. G. Callan and S. B. Treiman, Phys. Rev. Letters 16, 153 (1966)

[c2] H. J. Schnitzer and S. Weinberg, Phys. Rev. 64, 1828 (1968) I. S. Gerstein and H. J. Schnitzer, ibid. 170, 1638 (1968)

[c3] J. Brehm, E. Golowich, and J. C. Prasad, Phys. Rev. Letters 23, 666 (1969) H. J. Schnitzer, ibid. 24, 1384 (1970) R. Rockmore, ibid. 24, 541 (1970) Phys. Rev. D 2, 593 (1970)

[c4] M. Gell-Mann, R. J. Oakes, and B. Renner, Phys. Rev. 175, 2195 (1968)

[c5] R. A. Brandt and Giuliano Preparata, Ann. Phys. (N.Y.) 61, 119 (1970) R. Arnowitt, M. H. Friedman, P. Nath, and R. Suitor, Phys. Rev. Letters 26, 104 (1971)

[c6] X2 Collaboration, Phys. Rev. D 3, 10 (1971)

[c7] M. Gell-Mann, Phys. Rev. 125, 1067 (1962)

[c8] I. S. Gerstein and H. J. Schnitzer, Phys. Rev. 175, 1876 (1968) L. N. Chang and Y. C. Leung, Phys. Rev. Letters 21, 122 (1968)

[c9] S. Weinberg, Phys. Rev. Letters 18, 507 (1967)

[c10] G. J. Gounaris and J. J. Sakurai, Phys. Rev. Letters 21, 244 (1968)

[c11] R. Dashen and M. Weinstein, Phys. Rev. Letters 22, 1337 (1969)

[c12] R. Perrin, Phys. Rev. 172, 1675 (1968) S. Okubo and V. S. Mathur, Phys. Rev. Letters 23, 1412 (1969)

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$K_{l 3}$ Decay, Elastic Unitarity, and the Symmetry-Breaking Parameter of the Vacuum States

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Kl3 Decay, Elastic Unitarity, and the Symmetry-Breaking Parameter of the Vacuum States

Abstract

References (12)

$K_{l 3}$ Decay, Elastic Unitarity, and the Symmetry-Breaking Parameter of the Vacuum States