Isospin Structure of the Nonleptonic Weak Hamiltonian

C. H. Albright; R. J. Oakes

doi:10.1103/PhysRevD.3.1270

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Isospin Structure of the Nonleptonic Weak Hamiltonian

C. H. Albright^*,†

R. J. Oakes^‡

Institute for Atomic Research and Department of Physics, Iowa State University, Ames, Iowa 50010

Department of Physics, Northwestern University, Evanston, Illinois 60201

^*Permanent address: Northern Illinois University, DeKalb, Ill. 60115.
^†Work performed in part in the Ames Laboratory of the U. S. Atomic Energy Commission, Contribution No. 2841.
^‡Research supported by the Air Force Office of Scientific Research, Office of Aerospace Research, United States Air Force, under AFOSR Grant No. 69-1761.

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Phys. Rev. D 3, 1270 – Published 1 March, 1971

DOI: https://doi.org/10.1103/PhysRevD.3.1270

Abstract

The isospin structure of the nonleptonic weak Hamiltonian is investigated under the assumption that the interaction can be constructed from the products of charged and neutral $V - A$ octet currents. It is shown that quite generally, in addition to the well-known $Δ S = \pm 1$ , $Δ I = \frac{1}{2}$ selection rule, a pure $Δ S = 0$ , $Δ I = 0$ selection rule can be obtained. However, if charged currents, e.g., the Cabibbo current, occur in the interaction, then neither a pure $Δ S = 0$ , $Δ I = 1$ nor a pure $Δ S = 0$ , $Δ I = 2$ selection rule is possible. The implications for parity-violating effects in strangeness-conserving nuclear processes are discussed.

References (9)

N. Cabibbo, Phys. Rev. Letters 10, 531 (1963) ibid.12, 62 (1964)
C. H. Albright and R. J. Oakes, Phys. Rev. D 2, 1883 (1970)
T. D. Lee and C. N. Yang, Phys. Rev. 119, 1410 (1960)
R. J. Blin-Stoyle, in Proceedings of the CERN Topical Conference on Weak Interactions, 1969 (unpublished) B. H. J. McKellar and D. Hamilton, in High Energy Physics and Nuclear Structure, edited by S. Devons (Plenum, New York, 1970) E. M. Henley, Ann. Rev. Nucl. Sci. 19, 367 (1969)
H. Hättig, K. Hünchen, and H. Wäffler, Phys. Rev. Letters 25, 941 (1970)
G. S. Danilov, Phys. Letters 18, 40 (1965)
D. Tadić, Phys. Rev. 174, 1694 (1968)
V. M. Lobashov, A. E. Egorov, D. M. Kaminker, V. A. Nazarenko, L. F. Saenko, L. M. Smotritskii, G. I. Kharkevich, and V. A. Khyaz'kov, Zh. Eksperim. i Teor. Fiz. Pis'ma v Redaktsiyu 11, 124 (1970) [Soviet Phys. JETP Letters 11, 76 (1970)]
E. M. Henley, Phys. Letters 28B, 1 (1968)

[c1] N. Cabibbo, Phys. Rev. Letters 10, 531 (1963) ibid.12, 62 (1964)

[c2] C. H. Albright and R. J. Oakes, Phys. Rev. D 2, 1883 (1970)

[c3] T. D. Lee and C. N. Yang, Phys. Rev. 119, 1410 (1960)

[c4] R. J. Blin-Stoyle, in Proceedings of the CERN Topical Conference on Weak Interactions, 1969 (unpublished) B. H. J. McKellar and D. Hamilton, in High Energy Physics and Nuclear Structure, edited by S. Devons (Plenum, New York, 1970) E. M. Henley, Ann. Rev. Nucl. Sci. 19, 367 (1969)

[c5] H. Hättig, K. Hünchen, and H. Wäffler, Phys. Rev. Letters 25, 941 (1970)

[c6] G. S. Danilov, Phys. Letters 18, 40 (1965)

[c7] D. Tadić, Phys. Rev. 174, 1694 (1968)

[c8] V. M. Lobashov, A. E. Egorov, D. M. Kaminker, V. A. Nazarenko, L. F. Saenko, L. M. Smotritskii, G. I. Kharkevich, and V. A. Khyaz'kov, Zh. Eksperim. i Teor. Fiz. Pis'ma v Redaktsiyu 11, 124 (1970) [Soviet Phys. JETP Letters 11, 76 (1970)]

[c9] E. M. Henley, Phys. Letters 28B, 1 (1968)

Physical Review D

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Isospin Structure of the Nonleptonic Weak Hamiltonian

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