Quantum mechanics

Diagonal

Metallurgy

Materials science

Chromatography

Coupling (piping)

Telecommunications

Computer science

Statistical physics

Matrix (chemical analysis)

Physics

Coulomb

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Geometry

Composite material

Chemistry

Symmetry (geometry)

Channel (broadcasting)

Electron

Journal of Physics B Atomic and Molecular Physics

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).

Alternative parameters of channel interactions. I. Symmetry analysis of the two-channel coupling