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Statistical Fluctuations of Electromagnetic Transition Intensities in pf-Shell Nuclei

A. Hamoudi·R. G. Nazmitdinov·Y. Alhassid
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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).

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A. Hamoudi, R. G. Nazmitdinov, Y. Alhassid. 1998-04-20. Statistical Fluctuations of Electromagnetic Transition Intensities in pf-Shell Nuclei. https://doi.org/10.1103/physrevc.65.064311

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