Multi-channel phase-equivalent transformation and supersymmetry

Abstract

Phase-equivalent transformation of local interaction is generalized to the multi-channel case. Generally, the transformation does not change the number of the bound states in the system and their energies. However, with a special choice of the parameters, the transformation removes one of the bound states and is equivalent to the multi-channel supersymmetry transformation recently suggested by Sparenberg and Baye. Using the transformation, it is also possible to add a bound state to the discrete spectrum of the system at a given energy $E<0$ if the angular momentum at least in one of the coupled channels $l\ge 2$.

9 pages, revtex; to be published in Phys. At. Nucl. (Oct. 2000)

References in corpus (3)

• Quantum Monte Carlo calculations of nuclei with A \leq 7
• Moscow-type NN-potentials and three-nucleon bound states
• Bremsstrahlung of 350--450 MeV protons as a tool to study $NN$ interaction off-shell

Cited by in corpus (2)

• Super-Symmetry transformation for excitation processes
• Deuteron-equivalent and phase-equivalent interactions within light nuclei