✍ Scribed by Jörg Hüfner; C.M Shakin
No coin nor oath required. For personal study only.
Lane's coupled equations are solved explicitly to give an exact S-matrix in the form of a one-level formula with a renormalized interaction. The renormalization is usually negligible or easily treated in perturbation theory. The unrenormalized one-level formula is shown to provide a very accurate representation of the exact S-matrix. The extraction of the resonance parameters from the one-level formula is studied in detail. The energy dependence of the open-channel propagator is important in the calculation of these parameters, and also leads to a difference between the background phase and the potential scattering phase. The role of the imaginary potential in the Lane equations is investigated and it is found that the absorptive potential may be treated in first-order perturbation theory. A relation between the S-matrix of the Lane equations and that of the microscopic theory is developed.
📜 SIMILAR VOLUMES
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