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Impact of isospin breaking on the distribution of transition probabilities

1999/11/22 by C. I. Barbosa, Thomas Guhr, T. Guhr +1 · 2 citations
Physics and Astronomy · #Quantum Mechanics and Applications #Quantum chaos and dynamical systems #Theoretical and Computational Physics #chao-dyn #cond-mat #nlin.CD #nucl-th

paper · pdf · doi:10.1103/physreve.62.1936

published as Phys.Rev. E62 (2000) 1936-1949 · 16 pages, 8 figures, submitted to PRE

arxiv created 1999/11/22 · openalex publication_date 2000/08/01 · arxiv updated 2009/11/30 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/30

Abstract

In the present paper we investigate the effect of symmetry breaking in the statistical distributions of reduced transition amplitudes and reduced transition probabilities. These quantities are easier to access experimentally than the components of the eigenvectors and were measured by Adams et al. [Phys. Lett. B 422, 13 (1998)] for the electromagnetic transitions in 26Al. We focus on isospin symmetry breaking described by a matrix model where both the Hamiltonian and the electromagnetic operator break the symmetry. The results show that for partial isospin conservation, the statistical distribution of the reduced transition probability can considerably deviate from the Porter-Thomas distribution.

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