Multichannel coupling with supersymmetric quantum mechanics and exactly-solvable model for Feshbach resonance

Abstract

A new type of supersymmetric transformations of the coupled-channel radial Schroedinger equation is introduced, which do not conserve the vanishing behavior of solutions at the origin. Contrary to usual transformations, these ``non-conservative'' transformations allow, in the presence of thresholds, the construction of potentials with coupled scattering matrices from uncoupled potentials. As an example, an exactly-solvable potential matrix is obtained which provides a very simple model of Feshbach-resonance phenomenon.

10 pages, 2 figures

References in corpus (8)

• Next-to-leading order QCD corrections to high-p_T pion production in longitudinally polarized pp collisions
• Relativistic Constituent Quark Model of Electroweak Properties of Baryons
• Full-Coupled Channel Approach to Doubly Strange $s$-Shell Hypernuclei
• Phase equivalent chains of Darboux transformations in scattering theory
• Superposition effect and clan structure in forward-backward multiplicity correlations
• Supersymmetric Transformations in Coupled-Channel Systems
• Phase shift effective range expansion from supersymmetric quantum mechanics
• Gravitating Instantons In 3 Dimensions

Cited by in corpus (9)

• Nonlinear Supersymmetric Quantum Mechanics: concepts and realizations
• Single- and coupled-channel radial inverse scattering with supersymmetric transformations
• Scattering cross section resonance originating from a spectral singularity
• Exactly-solvable coupled-channel potential models of atom-atom magnetic Feshbach resonances from supersymmetric quantum mechanics
• Supersymmetric transformations for coupled channels with threshold differences
• Eigenphase preserving two-channel SUSY transformations
• Shadow poles in a coupled-channel problem calculated with Berggren basis
• Coupling between scattering channels with SUSY transformations for equal thresholds
• Spectral properties of non-conservative multichannel SUSY partners of the zero potential