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Quantum theory of unstable particles

Published online by Cambridge University Press:  24 October 2008

J. L. Martin
J. L. Martin
Affiliation:
Mathematics Division, National Physical Laboratory
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Abstract

A quantum model of the scattering of a particle via absorption and re-emission at the origin is described. The model is capable of exhibiting an arbitrary number of resonances, and the associated unstable states are discussed. The emphasis is on obtaining exact results. It is found that the exponential decay law is of limited application, and that in all cases of non-zero coupling the decay goes ultimately as t−3. Finally, it is pointed out that the treatment of unstable states in this type of model depends only on a knowledge of the phase shift as a function of radial momentum, and a possible phenomenological method is suggested.

Information

Type
Research Article
Information
Mathematical Proceedings of the Cambridge Philosophical Society , Volume 60 , Issue 3 , July 1964 , pp. 587 - 593
Copyright
Copyright © Cambridge Philosophical Society 1964

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References

REFERENCES

1 Beck, G. and Nussenzveig, H. M. Nuovo Cimento, 16 (1960), 416.CrossRefGoogle Scholar
2 Lévy, M. Nuovo Cimento, 13 (1959), 115.CrossRefGoogle Scholar
3 Lévy, M. Nuovo Cimento, 14 (1959), 612.CrossRefGoogle Scholar
4 Martin, J. L. Proc. Boy. Soc. London, Ser. A, 271 (1963), 332.Google Scholar
5 Matthews, P. T. and Salam, Abdus. Phys. Rev. 112 (1958), 283.CrossRefGoogle Scholar
6 Matthews, P. T. and Salam, Abdus. Phys. Rev. 115 (1959), 1079.Google Scholar
7 Moshinsky, M. Phys. Rev. 84 (1951), 533.CrossRefGoogle Scholar
8 Schwinger, J. Ann. Physics, 9 (1960), 169.CrossRefGoogle Scholar
9 Wellner, M. Phys. Rev. 118 (1960), 875.CrossRefGoogle Scholar
10 Whittaker, E. T. and Watson, G. N. Modern analysis (4th edition; Cambridge, 1927).Google Scholar
11 Wigner, E. P. and Weisskopf, V. Z. Physik, 63 (1930), 62.Google Scholar