Abstract
Suppose that a scattering experiment is carried out at an energy at which the interacting fragments have a sharp resonance. We have seen in Sec. 11.2.2 that the elastically or inelastically scattered particles then are considerably delayed relative to those coming in. We now wish to examine in detail the time dependence of the emergent flux.
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Notes and References
The first pertinent investigations of the decay problem were by Weisskopf and Wigner(1930). The following studies used the approach of radiation damping:Heitler and Ma (1949); Arnous and Zienau (1951); Arnous and Bleuler (1952); E. Arnous (1952); Arnous and Heitler (1953). Other references are M. Moshinsky (1951); L. A. Khalfin (1957 and 1960); G. Höhler (1958); Matthews and Salam (1959a); J. Petzold (1959); Ya. B. Zel’dovich (1960); M. Lévy (1960); J. Schwinger (1960); Lozano and Moshinsky (1960); F. T. Smith (1960); Krzywicki and Szymanski (1960); Beck and Nussenzveig (1960); H. M. Nussen-zveig (1961); Jacob and Sachs (1961); R. G. Newton (1961); R. G. Winter (1961); Goldberger and Watson (1962 and 1964b, chapt. 8); T. Ohmura (1964); Kerler and Petzold (1965); L. Rosenfeld (1965); M. N. Hack (1967); J. P. Jeukenne (1967); W. Kerler (1970); Fonda and Ghirardi (1970 and 1971); L. P. Horwitz et al. (1971); M. V. Terent’ev (1972); G. N. Fleming (1973); Fonda, Ghirardi and Rimini (1973); Fonda, Ghirardi, Rimini, and Weber (1973); A. Degasperis et al. (1974); R. Lavine (1974); S. T. Ali et al. (1975); P. Exner (1976); Misra and Sinha (1977); E. C. G. Sudarshan et al. (1978); A. Peres (1980); A. Bohm (1981); M. Hillery (1981). Sequential decay processes were examined by L. Fonda et al. (1978). The ambiguities involved in any analytic continuation of the amplitude to a resonance pole were analyzed by G. Calucci et al. (1968); Calucci and Ghirardi (1968 and 1972). I. W. Herbst (1980) studied the exponential decay in the Stark effect. The approach of this chapter follows the paper by the author.
For discussions of other line shapes and their effects on the decay curve, see Fonda and Newton (1960c) and particularly Goldberger and Watson (1964a); Bell and Goebel (1965).
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© 1982 Springer Science+Business Media New York
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Newton, R.G. (1982). The Decay of Unstable States. In: Scattering Theory of Waves and Particles. Texts and Monographs in Physics. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-88128-2_19
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DOI: https://doi.org/10.1007/978-3-642-88128-2_19
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