Theory of Higher-Order Weak Interactions and <span class="aps-inline-formula"><math xmlns="http://www.w3.org/1998/Math/MathML" display="inline"><mi>CP</mi></math></span>-Invariance Violation. II. The Neutral <span class="aps-inline-formula"><math xmlns="http://www.w3.org/1998/Math/MathML" display="inline"><mi>K</mi></math></span> System

Alan Chodos; Kenneth Lane

doi:10.1103/PhysRevD.6.596

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Theory of Higher-Order Weak Interactions and $CP$ -Invariance Violation. II. The Neutral $K$ System

Alan Chodos and Kenneth Lane^*

Department of Physics, University of Pennsylvania, Philadelphia, Pennsylvania 19104

^*Present address: Department of Physics, University of California, Berkeley, Calif. 94720.

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Phys. Rev. D 6, 596 – Published 15 July, 1972

DOI: https://doi.org/10.1103/PhysRevD.6.596

Abstract

Continuing our exposition of a nonpolynomial theory of higher-order weak interactions, we examine the neutral $K$ system, with particular emphasis on the $CP$ -invariance-violating amplitudes. These first appear in second order in the weak interactions. We use the free-quark model to estimate the short-distance singularity of products of hadronic currents, and we find that with appropriate choices of the minor coupling constants our theory is consistent with the known experimental results. In particular, we find $| ε | \approx 10^{- 3}$ , and we give an argument leading to $η_{+ -} \approx η_{00}$ . The neutron dipole moment is a third-order weak effect in our theory and is estimated to be about $10^{- 27}$ e cm. We calculate the production cross section for the superprop-agating particles, and find it to be too small for the particles to have yet been observed.

References (16)

K. Lane and A. Chodos, preceding paper, Phys. Rev. D 6, 581 (1972)
H. Fritzsch and M. Gell-Mann, in Broken Scale Invariance and the Light Cone, 1971 Coral Gables Conference on Fundamental Interactions at High Energy, edited by M. Dal Cin, G. J. Iverson, and A. Perlmutter (Gordon and Breach, New York, 1971), Vol. 2, p. 1
L. Wolfenstein, Phys. Letters 15, 196 (1965)
L. Wolfenstein, in Theory and Phenomenology in Particle Physics, edited by A. Zichichi (Academic, New York, 1969), Part A
K. Lane and A. Chodos, Phys. Rev. Letters 27, 966 (1971)
J. Cronin, lectures given at the Fourth Hawaii Topical Conference on Particle Physics, 1971 (unpublished) [3] J. Nuyts, Phys. Rev. Letters 26, 1604 (1971)
B.Aubert, in Proceedings of the Topical Conference on Weak Interactions, CERN, 1969 (CERN, Geneva, 1969)
J. R. Bensinger, A. R. Erwin, M. A. Thompson, and W. D. Walker, Phys. Letters 36B, 134 (1971)
H. Fritzsch and M. Gell-Mann, [2]
D. J. Gross and S. B. Treiman, Phys. Rev. D 4, 1059 (1971)
Particle Data Group, Rev. Mod. Phys. 43, S1 (1971)
R. E. Marshak, Riazuddin, and C. P. Ryan, Weak Interactions of Elementary Particles (Wiley, New York, 1969), p. 659
J. K. Baird, P. D. Miller, W. B. Dress, and N. F. Ramsey, Phys. Rev. 179, 1285 (1969)
T. Appelquist and C. E. Carlson, Phys. Rev. 187, 2119 (1969)
Omitted endnote
V. A. Kolkunov, Zh. Eksp. Teor Fiz. 43, 1448 (1962) [Sov. Phys.-JETP 16, 1025 (1963)]

[c1] K. Lane and A. Chodos, preceding paper, Phys. Rev. D 6, 581 (1972)

[c2] H. Fritzsch and M. Gell-Mann, in Broken Scale Invariance and the Light Cone, 1971 Coral Gables Conference on Fundamental Interactions at High Energy, edited by M. Dal Cin, G. J. Iverson, and A. Perlmutter (Gordon and Breach, New York, 1971), Vol. 2, p. 1

[c3] L. Wolfenstein, Phys. Letters 15, 196 (1965)

[c4] L. Wolfenstein, in Theory and Phenomenology in Particle Physics, edited by A. Zichichi (Academic, New York, 1969), Part A

[c5] K. Lane and A. Chodos, Phys. Rev. Letters 27, 966 (1971)

[c6] J. Cronin, lectures given at the Fourth Hawaii Topical Conference on Particle Physics, 1971 (unpublished) [3] J. Nuyts, Phys. Rev. Letters 26, 1604 (1971)

[c7] B.Aubert, in Proceedings of the Topical Conference on Weak Interactions, CERN, 1969 (CERN, Geneva, 1969)

[c8] J. R. Bensinger, A. R. Erwin, M. A. Thompson, and W. D. Walker, Phys. Letters 36B, 134 (1971)

[c9] H. Fritzsch and M. Gell-Mann, [2]

[c10] D. J. Gross and S. B. Treiman, Phys. Rev. D 4, 1059 (1971)

[c11] Particle Data Group, Rev. Mod. Phys. 43, S1 (1971)

[c12] R. E. Marshak, Riazuddin, and C. P. Ryan, Weak Interactions of Elementary Particles (Wiley, New York, 1969), p. 659

[c13] J. K. Baird, P. D. Miller, W. B. Dress, and N. F. Ramsey, Phys. Rev. 179, 1285 (1969)

[c14] T. Appelquist and C. E. Carlson, Phys. Rev. 187, 2119 (1969)

[c15] Omitted endnote

[c16] V. A. Kolkunov, Zh. Eksp. Teor Fiz. 43, 1448 (1962) [Sov. Phys.-JETP 16, 1025 (1963)]

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Theory of Higher-Order Weak Interactions and $CP$ -Invariance Violation. II. The Neutral $K$ System

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Theory of Higher-Order Weak Interactions and CP-Invariance Violation. II. The Neutral K System

Abstract

References (16)

Theory of Higher-Order Weak Interactions and $CP$ -Invariance Violation. II. The Neutral $K$ System