Statistical Fluctuations of Electromagnetic Transition Intensities in pf-Shell Nuclei
A. Hamoudi, R. G. Nazmitdinov, Y. Alhassid
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 Tz. However, the statistics of the B(M1) transitions is sensitive to Tz: Tz=1 nuclei exhibit a Porter-Thomas distribution, while a significant deviation from the GOE statistics is observed for self-conjugate nuclei (Tz=0).
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