A study of randomness, correlations and collectivity in the nuclear shell model

Abstract

A variable combination of realistic and random two-body interactions allows the study of collective properties, such as the energy spectra and B(E2) transition strengths in 44Ti, 48Cr and 24Mg. It is found that the average energies of the yrast band states maintain the ordering for any degree of randomness, but the B(E2) values lose their quadrupole collectivity when randomness dominates the Hamiltonian. The high probability of the yrast band to be ordered in the presence of pure random forces exhibits the strong correlations between the different members of the band.

8 pages, 10 figures, 8 tables, submitted to Physical Review C

References in corpus (5)

• Spectroscopy with random and displaced random ensembles
• A simple approach to the angular momentum distribution in the ground states of many-body systems
• Geometry of random interactions
• Many-body Systems Interacting via a Two-body Random Ensemble (I): Angular Momentum distribution in the ground states
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Cited by in corpus (7)

• Nuclear Structure, Random Interactions and Mesoscopic Physics
• Regularities of Many-body Systems Interacting by a Two-body Random Ensemble
• Patterns of the ground states in the presence of random interactions: nucleon systems
• Chaos and localization in the wavefunctions of complex atoms NdI, PmI and SmI
• Shell-model test of the rotational-model relation between static quadrupole moments Q(2^+_1), B(E2)'s, and orbital M1 transitions
• Angular momentum I ground state probabilities of boson systems interacting by random interactions
• Regularities with random interactions in energy centroids defined by group symmetries