<span class="aps-inline-formula"><math xmlns="http://www.w3.org/1998/Math/MathML" display="inline"><mi>Δ</mi><mi>I</mi><mo>=</mo><mfrac><mrow><mn>1</mn></mrow><mrow><mn>2</mn></mrow></mfrac></math></span> Rule in Nonleptonic Weak Interactions

Benjamin W. Lee; S. B. Treiman

doi:10.1103/PhysRevD.7.1211

Access by Xinjiang University

$Δ I = \frac{1}{2}$ Rule in Nonleptonic Weak Interactions

Benjamin W. Lee^* and S. B. Treiman^†,‡

National Accelerator Laboratory, Batavia, Illinois 60510

^*Permanent address: Institute for Theoretical Physics, State University of New York at Stony Brook, Stony Brook, N. Y. 11970.
^†Permanent address: Department of Physics, Princeton University, Princeton, N. J. 08540.
^‡Operated by Universities Research Association, Inc., under contract with the United States Atomic Energy Commission.

PDF

Phys. Rev. D 7, 1211 – Published 15 February, 1973

DOI: https://doi.org/10.1103/PhysRevD.7.1211

Abstract

We investigate whether the $Δ I = \frac{1}{2}$ rule for weak nonleptonic interactions can be embedded into unified theories of the weak and electromagnetic interactions. In such theories weak interactions are mediated not only by (gauge) vector-boson exchange, as usually envisaged, but also through exchange of Higgs scalar bosons. Although the former contributions cannot (it seems) be arranged to have a pure $Δ I = \frac{1}{2}$ structure, we discuss a model in which the latter can be so arranged. Owing to strong-interaction complexities the effective strengths of these two sources of weak interactions cannot easily be assessed. The discussion nevertheless emphasizes the possibility that Higgs-exchange effects may have a significant role for the $Δ I = \frac{1}{2}$ question.

References (12)

V. I. Zakharov, in Proceedings of the Sixteenth International Conference on High Energy Physics, National Accelerator Laboratory, Batavia, Ill., 1972 (unpublished)
S. Weinberg, Phys. Rev. Letters, 19, 1264 (1967) A. Salam, in Elementary Particle Theory: Relativistic Groups and Analyticity (Nobel Symposium No. 8), edited by N. Svartholm (Wiley, N. Y., 1969) B. W. Lee, in Proceedings of the Sixteenth International Conference on High Energy Physics, National Accelerator Laboratory, Batavia, Ill., 1972 (unpublished)
L. Yu, UCSD report (unpublished)
P. Higgs, Phys. Letters 12, 132 (1964)
H. Georgi and S. L. Glashow, Phys. Rev. Letters 28, 1494 (1972)
Omitted endnote
B. W. Lee, J. Primack, and S. B. Treiman, Phys. Rev. D 7, 510 (1973)
S. Weinberg, Phys. Rev. Letters 29, 388 (1972) H. Georgi and S. L. Glashow, Phys. Rev. D 6, 2977 (1972)
S. L. Adler and R. F. Dashen, Current Algebras and Applications to Particle Physics (Benjamin, New York, 1968), Chap. 2
C. G. Callan and S. B. Treiman, Phys. Rev. Letters 16, 153 (1966)
M. Suzuki, Phys. Rev. Letters 15, 986 (1965)
A. Pais, Phys. Rev. Letters 29, 1712 (1972)

[c1] V. I. Zakharov, in Proceedings of the Sixteenth International Conference on High Energy Physics, National Accelerator Laboratory, Batavia, Ill., 1972 (unpublished)

[c2] S. Weinberg, Phys. Rev. Letters, 19, 1264 (1967) A. Salam, in Elementary Particle Theory: Relativistic Groups and Analyticity (Nobel Symposium No. 8), edited by N. Svartholm (Wiley, N. Y., 1969) B. W. Lee, in Proceedings of the Sixteenth International Conference on High Energy Physics, National Accelerator Laboratory, Batavia, Ill., 1972 (unpublished)

[c3] L. Yu, UCSD report (unpublished)

[c4] P. Higgs, Phys. Letters 12, 132 (1964)

[c5] H. Georgi and S. L. Glashow, Phys. Rev. Letters 28, 1494 (1972)

[c6] Omitted endnote

[c7] B. W. Lee, J. Primack, and S. B. Treiman, Phys. Rev. D 7, 510 (1973)

[c8] S. Weinberg, Phys. Rev. Letters 29, 388 (1972) H. Georgi and S. L. Glashow, Phys. Rev. D 6, 2977 (1972)

[c9] S. L. Adler and R. F. Dashen, Current Algebras and Applications to Particle Physics (Benjamin, New York, 1968), Chap. 2

[c10] C. G. Callan and S. B. Treiman, Phys. Rev. Letters 16, 153 (1966)

[c11] M. Suzuki, Phys. Rev. Letters 15, 986 (1965)

[c12] A. Pais, Phys. Rev. Letters 29, 1712 (1972)

Physical Review D

Export citation

Export citation

$Δ I = \frac{1}{2}$ Rule in Nonleptonic Weak Interactions

Abstract

References (12)

Outline

Information

Filter

Filter

Article Lookup

Enter a citation

ΔI=12 Rule in Nonleptonic Weak Interactions

Abstract

References (12)

$Δ I = \frac{1}{2}$ Rule in Nonleptonic Weak Interactions