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Symmetry Effects on Nuclear Dipole Radiation with Application to a Bound Excited State of
Phys. Rev. 85, 962 – Published 15 March, 1952
DOI: https://doi.org/10.1103/PhysRev.85.962
Abstract
The effect of nuclear symmetry properties on electric dipole transitions is investigated using the independent particle model and Wigner's theory of the symmetric Hamiltonian. Methods are given for the construction of completely symmetrized wave functions for the nuclear states on this model. Symmetry selection rules are found to operate, in addition to the usual selection rules, to reduce the amount of nuclear dipole radiation. A detailed study of the nucleus leads to the conclusion that if a resonant state at 21.6 Mev does exist with a strong dipole transition to the ground state, then a bound, excited state of the alpha-particle also exists. Spin-orbit and tensor forces are introduced to give a possible explanation of the angular distribution of gamma-rays when protons are captured by tritium.
References (24)
- J. S. Levinger and H. A. Bethe, Phys. Rev. 78, 115 (1950)
- M. Goldhaber and E. Teller, Phys. Rev. 74, 1046 (1948)
- H. Steinwedel and J. Jensen, Phys. Rev. 79, 1019 (1950)
- V. F. Weisskopf, Phys. Rev. 83, 1073 (1951)
- E. Wigner, Phys. Rev. 51, 106 (1937)
- E. Wigner, Phys. Rev. 51, 947 (1937)
- G. Gamow and C. L. Critchfield, Theory of Atomic Nucleus and Nuclear Energy-Sources (Clarendon Press, Oxford, England, 1949)
- D. R. Inglis, Phys. Rev. 51, 534 (1937)
- F. Hund, Z. Physik 105, 202 (1937)
- H. A. Bethe, Revs. Modern Phys. 9, 69 (1937)
- F. D. Murnaghan, The Theory of Group Representations (Johns Hopkins Press, Baltimore, 1938)
- E. Wigner, Gruppentheorie und ihre Anwendung auf die Quantenmechanik der Atomspektren (Edward Brothers, Inc., Ann Arbor, 1944)
- Argo, Gittings, Hemmendinger, Jarvis, and Taschek, Phys. Rev. 78, 691 (1950)
- Jarvis, Hemmendinger, Argo, and Taschek, Phys. Rev. 79, 929 (1950)
- B. H. Flowers and F. Mandl, Proc. Roy. Soc. (London) 206, 131 (1951)
- J. Benveniste and B. Cork, Phys. Rev. 83, 894 (1951)
- C. E. Falk and G. C. Phillips, Phys. Rev. 83, 468 (1951)
- G. Breit, private communication
- E. R. Gaerttner and M. L. Yeater, Phys. Rev. 83, 146 (1951)
- Claassen, Brown, Freier, and Stratton, Phys. Rev. 82, 589 (1951)
- W. H. Barkas, Phys. Rev. 55, 691 (1939)
- H. A. Bethe and R. F. Bacher, Revs. Modern Phys. 8, 83 (1937)
- [7], page 252
- M. Verde, Helv. Phys. Acta 23, 453 (1950)