Extension of the Siegert theorem for photon emission
D BayePhysique Quantique, C. P. 165/82, and Physique Nucléaire Théorique et Physique Mathématique, C.P. 229, Université Libre de Bruxelles (ULB), B 1050 Brussels, Belgium
2012en
ABI
Abstract
When the long-wavelength approximation is not performed, extensions of the Siegert theorem can take various forms. An alternative expression is derived for the electric multipole fields, which is inspired by earlier works on photonuclear reactions. It is applied to the Siegert transformation of electric transition operators for single photon emission. In the particular case of isospin forbidden $E1$ transitions, which can be useful for some important radiative capture reactions, an approximation of this electric transition operator is established and discussed.
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