Super-Symmetry transformation for excitation processes

Details Super-Symmetry transformation for excitation processes Super-Symmetry transformation for excitation processes

2004-02-02

arxiv.org/abs/nucl-th/0402005v1

Phys.Rev. C71 (2005) 024318

Physics

Nuclear Physics

Nuclear Theory

14 pages, 13 figures

Scientific paper

10.1103/PhysRevC.71.024318

Quantum Mechanics SUper-SYmmetry (QM-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 in order to account for the Pauli blocking of the core orbitals. In this article, we discuss how other potentials (like 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 the essential role on the induced transition probabilities on two examples: the electric operators and Gaussian external fields. We show that excitation operators, doorway states, strength and sum rules are modified.

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