Abstract
The Siegert states are approached in framework of Bloch-Lane-Robson formalism for quantum collisions. The Siegert state is not described by a pole of Wigner R-matrix but rather by the equation 1 − RnnLn = 0, relating R-matrix element Rnn to decay channel logarithmic derivative Ln. Extension of Siegert state equation to multichannel system results in the replacement of channel R- matrix element Rnn by its reduced counterpart Rnn. One proves the Siegert state is a pole, (1 − RnnLn)−1, of multichannel collision matrix. The Siegert equation 1 − RnnLn = 0, (n – Rydberg channel), implies basic results of Quantum Defect Theory as Seaton’s theorem, complex quantum defect, channel resonances and threshold continuity of averaged multichannel collision matrix elements.
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Hategan, C., Ionescu, R.A. & Wolter, H.H. Siegert state approach to quantum defect theory. Eur. Phys. J. D 74, 71 (2020). https://doi.org/10.1140/epjd/e2020-100563-2
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DOI: https://doi.org/10.1140/epjd/e2020-100563-2