Alternative parameters of channel interactions. I. Symmetry analysis of the two-channel coupling
- 1 January 1984
- journal article
- Published by IOP Publishing in Journal of Physics B: Atomic and Molecular Physics
- Vol. 17 (2) , 215-220
- https://doi.org/10.1088/0022-3700/17/2/008
Abstract
Translations of the scales of the Lu-Fano plots are introduced phenomenologically to bring out the symmetry of two-channel coupling. These shifts in the ( nu i) space amount to a phase renormalisation of the Coulomb basis wavefunctions of QDT, which eliminates the diagonal elements of Seaton's reactance matrix. The off-diagonal element of the resulting matrix measures the effective coupling strength and the new origins of the Lu-Fano plot axes mark the extrema of channel admixture. In the continuous energy range, the parameters ( mu i, xi ) provide a compact expression of the cross section for any two-channel (one open and one closed) process, including the whole series of resonances due to the discrete states in the closed channel. A similar generalisation of the Beutler-Fano resonance formula has been previously achieved by Dubau and Seaton (1984).Keywords
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