Supersymmetry transformation for excitation processes

Abstract

Quantum mechanics super symmetry (SuSy) provides a general framework for studies using phenomenological potentials for nucleons (or clusters) interacting with a core. The SuSy potentials result from the transformation of the mean-field potential to account for the Pauli blocking of the core orbitals. In this article, we discuss how other potentials (such as external probes or residual interactions between the valence nucleons) are affected by the SuSy transformation. We illustrate how the SuSy transformations induce off-diagonal terms in coordinate space that play an essential role on the induced transition probabilities for two examples: electric operators and Gaussian external fields. We show that excitation operators, doorway states, strength, and sum rules are all modified.