Unitary Parametrization of Nuclear Reactions
For low energy compound nuclear reactions, the determination of resonance energies, total, partial and reduced widths, background,…from experimental data is based on approximations of the relevant elements of a parametrized collision matrix. Several types of parametrizations have been introduced for that purpose, all having a priori advantages of their own. Nevertheless, since only approximations of parametrized collision matrices can be of any use, it has long been recognized that such approximations also have major shortcomings. The main one is certainly that the approximations can rarely be fully justified, with the result that elaborate “theories” (involving e.g. a matrix inversion or a complex-energy plane !) eventually give parametrized cross sections whose phenomenelogical character is more obvious than their true theoretical foundation.
KeywordsComplex Pole Phase Derivative Parametrized Collision Background Cross Section Resonance Phase
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