Statistical Fluctuations of Electromagnetic Transition Intensities in pf-Shell Nuclei

Abstract

We study the fluctuation properties of E2 and M1 transition intensities among T=0,1 states of A = 60 nuclei in the framework of the interacting shell model, using a realistic effective interaction for pf-shell nuclei with a Ni56 as a core. It is found that the B(E2) distributions are well described by the Gaussian orthogonal ensemble of random matrices (Porter-Thomas distribution) independently of the isobaric quantum number T_z. However, the statistics of the B(M1) transitions is sensitive to T_z: T_z=1 nuclei exhibit a Porter-Thomas distribution, while a significant deviation from the GOE statistics is observed for self-conjugate nuclei (T_z=0).

8 pages, latex, 3 figures (ps format)

References in corpus (6)

• Random Matrix Theories in Quantum Physics: Common Concepts
• The Statistical Theory of Quantum Dots
• The Impact of Isospin Breaking on the Distribution of Transition Probabilities
• Matrix Elements of Random Operators and Discrete Symmetry Breaking in Nuclei
• Tri-axial Octupole Deformations and Shell Structure
• The Interference Term between the Spin and Orbital Contributions to M1 Transitions

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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