Weak-Electromagnetic <span class="aps-inline-formula"><math xmlns="http://www.w3.org/1998/Math/MathML" display="inline"><mi>K</mi></math></span>-Meson Decays

R. F. Sarraga; H. J. Munczek

doi:10.1103/PhysRevD.4.2884

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Weak-Electromagnetic $K$ -Meson Decays

R. F. Sarraga and H. J. Munczek

University of Kansas, Lawrence, Kansas 66044

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Phys. Rev. D 4, 2884 – Published 1 November, 1971

DOI: https://doi.org/10.1103/PhysRevD.4.2884

Abstract

We discuss the contributions of the combined first-order-weak plus higher-order-electromagnetic effects to several $K$ -meson decays. It is shown that if one uses a chiral SU(3) ×SU(3) pole model to explain both $K_{S} \to 2 π$ and $K_{L} \to 2 γ$ one needs an effective nonleptonic interaction Lagrangian which contains 8, and 27, $Δ I = \frac{1}{2}$ pieces. This gives results for $K^{+} \to π^{+} l \bar{l}$ compatible with the experimental data. We also calculate within this model the real part of the $K_{L} \to l \bar{l}$ amplitude, which results in a very small contribution to the decay rate.

References (37)

Particle Data Group, Phys. Letters 33B, 1 (1970)
P. Darriulat, M. I. Ferrero, C. Grosso, M. Holder, J. Pilcher, E. Radermacher, C. Rubbia, M. Scire, A. Staude, and K. Tittel, Phys. Letters 33B, 249 (1970)
A. R. Clark, T. Elioff, R. C. Field, H. J. Frisch, R. P. Johnson, L. T. Kerth, and W. A. Wenzel, Phys. Rev. Letters 26, 1667 (1971)
B. L. Ioffe and R. Shabalin, Yadern. Fiz. 6, 828 (1968) [Soviet J. Nucl. Phys. 6, 603 (1968)] R. N. Mohapatra, J. Subba Rao, and R. E. Marshak, Phys. Rev. Letters 20, 1081 (1968) Phys. Rev. 171, 1502 (1968)
J. J. Sakurai, Phys. Rev. 156, 1508 (1967)
M. Gell-Mann, Phys. Rev. 125, 1067 (1962) Physics 1, 63 (1964)
Y. Nambu, Phys. Rev. 106, 1366 (1957) J. J. Sakurai, Ann. Phys. (N.Y.) 11, 1 (1960)
T. D. Lee, S. Weinberg, and B. Zumino, Phys. Rev. Letters 18, 1029 (1967)
Y. Nambu, Phys. Letters 26B, 626 (1968) B. W. Lee and H. T. Nieh, Phys. Rev. 166, 1507 (1968) D. G. Boulware and L. S. Brown, ibid. 172, 1628 (1968) R. F. Dashen and M. Weinstein, ibid. 183, 1261 (1969)
H. J. Schnitzer and S. Weinberg, Phys. Rev. 175, 1873 (1968) I. Gerstein, H. J. Schnitzer, and S. Weinberg, ibid. 175, 1873 (1968)
S. Gasiorowicz and D. A. Geffen, Rev. Mod. Phys. 41, 531 (1969)
M. Gell-Mann and M. Lévy, Nuovo Cimento 16, 705 (1960) P. Chang and F. Gürsey, Phys. Rev. 164, 1572 (1967) L. S. Brown, ibid. 163, 1802 (1967) J. A. Cronin, ibid. 161, 1483 (1967)
S. Coleman and H. J.Schnitzer, Phys. Rev. 134, B863 (1964)
N. M. Kroll, T. D. Lee, and B. Zumino, Phys. Rev. 157, 1376 (1967)
T. D. Lee and B. Zumino, Phys. Rev. 163, 1667 (1967)
R. J.Oakes and J. J. Sakurai, Phys. Rev. Letters 19, 1266 (1967)
L. M. Brown, H. Munczek, and P. Singer, Phys. Rev. Letters 21, 707 (1968)
S. Weinberg, Phys. Rev. Letters 18, 507 (1967)
M. Gell-Mann, D. Sharp, and W. G. Wagner, Phys. Rev. Letters 8, 261 (1962)
L. M. Brown and H. Munczek, Phys. Rev. D 1, 2595 (1970)
K. Kawarabayashi and M. Suzuki, Phys. Rev. Letters 16, 255 (1966) Riazuddin and Fayyazuddin, Phys. Rev. 147, 1071 (1966)
Y. Hara and Y. Nambu, Phys. Rev. Letters 16, 875 (1966)
D. F. Greenberg, Nuovo Cimento 56A, 597 (1968)
C. A. Savoy and A. H. Zimerman, Nuovo Cimento 57A, 201 (1968)
R. Rockmore, Phys. Rev. 182, 1512 (1969)
J. A. Cronin, Phys. Rev. 161, 1483 (1967) R. H. Graham and S. K. Kun, ibid. 171, 1550 (1968)
D. Greenberg, Phys. Rev. 178, 2190 (1969)
L. M. Brown, N. G. Deshpande, and F. A. Costanzi, Phys. Rev. D 4, 146 (1971) F. A. Costanzi, Ph. D. thesis, Northwestern University (unpublished)
Omitted endnote
N. Cabibbo and E. Ferrari, Nuovo Cimento 18, 928 (1960) L. B. Okun' and A. Rudik, Zh. Eksperim. i Teor. Fiz. 39, 600 (1961) [Soviet Phys. JETP 12, 422 (1961)] M. Baker and S. L. Glashow, Nuovo Cimento 25, 857 (1962) M. A. B. Bég, Phys. Rev. 132, 426 (1963) S. Eliezer and P. Singer, ibid. 165, 1843 (1968)
L. M. Sehgal, Nuovo Cimento 45, 785 (1966) Phys. Rev. 183, 1511 (1969)
H. H. Chen and S. Y. Lee, Phys. Rev. D 4, 903 (1971) N. Christ and T. D. Lee, ibid. 4, 209 (1971) B. R. Martin, E. de Rafael, J. Smith, and Z. E. S. Uy, 4, 913 (1971)
B. R. Martin, E. de Rafael, and J. Smith, Phys. Rev. D 2, 179 (1970)
Omitted endnote
C. Quigg and J. D. Jackson, Lawrence Radiation Laboratory Report No. UCRL-18487 (unpublished)
L. M. Brown, H. Munczek, and P. Singer, Phys. Rev. 180, 1474 (1969)
F. A. Costanzi, Phys. Rev. 182, 1571 (1969)

[c1] Particle Data Group, Phys. Letters 33B, 1 (1970)

[c2] P. Darriulat, M. I. Ferrero, C. Grosso, M. Holder, J. Pilcher, E. Radermacher, C. Rubbia, M. Scire, A. Staude, and K. Tittel, Phys. Letters 33B, 249 (1970)

[c3] A. R. Clark, T. Elioff, R. C. Field, H. J. Frisch, R. P. Johnson, L. T. Kerth, and W. A. Wenzel, Phys. Rev. Letters 26, 1667 (1971)

[c4] B. L. Ioffe and R. Shabalin, Yadern. Fiz. 6, 828 (1968) [Soviet J. Nucl. Phys. 6, 603 (1968)] R. N. Mohapatra, J. Subba Rao, and R. E. Marshak, Phys. Rev. Letters 20, 1081 (1968) Phys. Rev. 171, 1502 (1968)

[c5] J. J. Sakurai, Phys. Rev. 156, 1508 (1967)

[c6] M. Gell-Mann, Phys. Rev. 125, 1067 (1962) Physics 1, 63 (1964)

[c7] Y. Nambu, Phys. Rev. 106, 1366 (1957) J. J. Sakurai, Ann. Phys. (N.Y.) 11, 1 (1960)

[c8] T. D. Lee, S. Weinberg, and B. Zumino, Phys. Rev. Letters 18, 1029 (1967)

[c9] Y. Nambu, Phys. Letters 26B, 626 (1968) B. W. Lee and H. T. Nieh, Phys. Rev. 166, 1507 (1968) D. G. Boulware and L. S. Brown, ibid. 172, 1628 (1968) R. F. Dashen and M. Weinstein, ibid. 183, 1261 (1969)

[c10] H. J. Schnitzer and S. Weinberg, Phys. Rev. 175, 1873 (1968) I. Gerstein, H. J. Schnitzer, and S. Weinberg, ibid. 175, 1873 (1968)

[c11] S. Gasiorowicz and D. A. Geffen, Rev. Mod. Phys. 41, 531 (1969)

[c12] M. Gell-Mann and M. Lévy, Nuovo Cimento 16, 705 (1960) P. Chang and F. Gürsey, Phys. Rev. 164, 1572 (1967) L. S. Brown, ibid. 163, 1802 (1967) J. A. Cronin, ibid. 161, 1483 (1967)

[c13] S. Coleman and H. J.Schnitzer, Phys. Rev. 134, B863 (1964)

[c14] N. M. Kroll, T. D. Lee, and B. Zumino, Phys. Rev. 157, 1376 (1967)

[c15] T. D. Lee and B. Zumino, Phys. Rev. 163, 1667 (1967)

[c16] R. J.Oakes and J. J. Sakurai, Phys. Rev. Letters 19, 1266 (1967)

[c17] L. M. Brown, H. Munczek, and P. Singer, Phys. Rev. Letters 21, 707 (1968)

[c18] S. Weinberg, Phys. Rev. Letters 18, 507 (1967)

[c19] M. Gell-Mann, D. Sharp, and W. G. Wagner, Phys. Rev. Letters 8, 261 (1962)

[c20] L. M. Brown and H. Munczek, Phys. Rev. D 1, 2595 (1970)

[c21] K. Kawarabayashi and M. Suzuki, Phys. Rev. Letters 16, 255 (1966) Riazuddin and Fayyazuddin, Phys. Rev. 147, 1071 (1966)

[c22] Y. Hara and Y. Nambu, Phys. Rev. Letters 16, 875 (1966)

[c23] D. F. Greenberg, Nuovo Cimento 56A, 597 (1968)

[c24] C. A. Savoy and A. H. Zimerman, Nuovo Cimento 57A, 201 (1968)

[c25] R. Rockmore, Phys. Rev. 182, 1512 (1969)

[c26] J. A. Cronin, Phys. Rev. 161, 1483 (1967) R. H. Graham and S. K. Kun, ibid. 171, 1550 (1968)

[c27] D. Greenberg, Phys. Rev. 178, 2190 (1969)

[c28] L. M. Brown, N. G. Deshpande, and F. A. Costanzi, Phys. Rev. D 4, 146 (1971) F. A. Costanzi, Ph. D. thesis, Northwestern University (unpublished)

[c29] Omitted endnote

[c30] N. Cabibbo and E. Ferrari, Nuovo Cimento 18, 928 (1960) L. B. Okun' and A. Rudik, Zh. Eksperim. i Teor. Fiz. 39, 600 (1961) [Soviet Phys. JETP 12, 422 (1961)] M. Baker and S. L. Glashow, Nuovo Cimento 25, 857 (1962) M. A. B. Bég, Phys. Rev. 132, 426 (1963) S. Eliezer and P. Singer, ibid. 165, 1843 (1968)

[c31] L. M. Sehgal, Nuovo Cimento 45, 785 (1966) Phys. Rev. 183, 1511 (1969)

[c32] H. H. Chen and S. Y. Lee, Phys. Rev. D 4, 903 (1971) N. Christ and T. D. Lee, ibid. 4, 209 (1971) B. R. Martin, E. de Rafael, J. Smith, and Z. E. S. Uy, 4, 913 (1971)

[c33] B. R. Martin, E. de Rafael, and J. Smith, Phys. Rev. D 2, 179 (1970)

[c34] Omitted endnote

[c35] C. Quigg and J. D. Jackson, Lawrence Radiation Laboratory Report No. UCRL-18487 (unpublished)

[c36] L. M. Brown, H. Munczek, and P. Singer, Phys. Rev. 180, 1474 (1969)

[c37] F. A. Costanzi, Phys. Rev. 182, 1571 (1969)

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Weak-Electromagnetic $K$ -Meson Decays

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Weak-Electromagnetic K-Meson Decays

Abstract

References (37)

Weak-Electromagnetic $K$ -Meson Decays