Statistical Fluctuations of Electromagnetic Transition Intensities and Electromagnetic Moments in pf-Shell Nuclei

Abstract

We study the fluctuation properties of $\Delta T=0$ electromagnetic transition intensities and electromagnetic moments in $A\sim 60$ nuclei within the framework of the interacting shell model, using a realistic effective interaction for $pf$-shell nuclei with a ${}^{56}$Ni core. The distributions of the transition intensities and of the electromagnetic moments are well described by the Gaussian orthogonal ensemble of random matrices. In particular, the transition intensity distributions follow a Porter-Thomas distribution. When diagonal matrix elements (i.e., moments) are included in the analysis of transition intensities, we find that the distributions remain Porter-Thomas except for the isoscalar $M1$. The latter deviation is explained in terms of the structure of the isoscalar $M1$ operator.

11 pages, 4 figures

References in corpus (2)

• The Statistical Theory of Quantum Dots
• Matrix Elements of Random Operators and Discrete Symmetry Breaking in Nuclei

Cited by in corpus (10)

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• Statistical-model description of $\gamma$ decay from compound-nucleus resonances
• Superstatistical random-matrix-theory approach to transition intensities in mixed systems
• Energy localization in two chaotically coupled systems
• Low-Energy Magnetic Radiation
• Hilbert space average of transition probabilities