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Supersymmetry transformation for excitation processes
Author(s) -
J. Margueron,
Philippe Chomaz
Publication year - 2005
Publication title -
physical review c
Language(s) - English
Resource type - Journals
eISSN - 1089-490X
pISSN - 0556-2813
DOI - 10.1103/physrevc.71.024318
Subject(s) - supersymmetry , pauli exclusion principle , nucleon , physics , excitation , valence (chemistry) , diagonal , quantum mechanics , theoretical physics , particle physics , mathematics , geometry
14 pages, 13 figures.International audienceQuantum Mechanics SUper-SYmmetry (QM-SUSY) provides a general framework forstudies 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 termsin coordinate space that play the essential role on the induced transitionprobabilities on two examples: the electric operators and Gaussian external fields.We show that excitation operators, doorway states, strength and sum rules aremodified

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