Supersymmetric Transformations in Coupled-Channel Systems

Abstract

A transformation of supersymmetric quantum mechanics for N coupled channels is presented, which allows the introduction of up to N degenerate bound states without altering the remaining spectrum of the Hamiltonian. Phase equivalence of the Hamiltonian can be restored by two successive supersymmetric transformations at the same energy. The method is successfully applied to the 3S1-3D1 coupled channels of the nucleon-nucleon system and a set of Moscow-type potentials is thus generated.

10 pages, 4 figures

References in corpus (1)

• Moscow-type NN-potentials and three-nucleon bound states

Cited by in corpus (15)

• Intertwining technique for the one-dimensional stationary Dirac equation
• Chains of Darboux transformations for the matrix Schroedinger equation
• Phase equivalent chains of Darboux transformations in scattering theory
• Single- and coupled-channel radial inverse scattering with supersymmetric transformations
• Multichannel coupling with supersymmetric quantum mechanics and exactly-solvable model for Feshbach resonance
• Multi-Channel Inverse Scattering Problem on the Line: Thresholds and Bound States
• Nucleon-nucleon wave function with short-range nodes and high-energy deuteron photodisintegration
• Asymptotic phase shifts and Levinson theorem for 2D potentials with inverse square singularities
• Eigenphase preserving two-channel SUSY transformations
• Coupling between scattering channels with SUSY transformations for equal thresholds
• Super-Symmetry transformation for excitation processes
• Neutron-proton scattering and singular potentials
• Toward a Spin- and Parity-Independent Nucleon-Nucleon Potential
• Supersymmetry approach to nuclear-spin-polarization-induced quantum dot structure calculations
• Multichannel generalization of eigen-phase preserving supersymmetric transformations