Robust Nuclear Observables and Constraints on Random Interactions

Abstract

The predictions of the IBM two-body random ensemble are compared to empirical results on nuclei from Z=8 to 100. Heretofore unrecognized but robust empirical trends are identified and related both to the distribution of valence nucleon numbers and to the need for and applicability of specific, non-random interactions. Applications to expected trends in exotic nuclei are discussed.

7 pages, 5 figures, revtex with eps figures

References in corpus (4)

• Band structure from random interactions
• Generalized seniority from random Hamiltonians
• On the dominance of J(P)=0(+) ground states in even-even nuclei from random two-body interactions
• Collective states in nuclei and many-body random interactions

Cited by in corpus (15)

• Pairing in nuclear systems: from neutron stars to finite nuclei
• Nuclear Structure, Random Interactions and Mesoscopic Physics
• Regularities of Many-body Systems Interacting by a Two-body Random Ensemble
• Two-Body Random Ensembles: From Nuclear Spectra to Random Polynomials
• Mean-field analysis of interacting boson models with random interactions
• Towards understanding the probability of $0^{+}$ ground states in even-even many-body systems
• A simple approach to the angular momentum distribution in the ground states of many-body systems
• Regular spectra in the vibron model with random interactions
• Generic Rotation in a Collective SD Nucleon-Pair Subspace
• Many-body Systems Interacting via a Two-body Random Ensemble (I): Angular Momentum distribution in the ground states
• Patterns of the ground states in the presence of random interactions: nucleon systems
• Many-body Systems Interacting via a Two-body Random Ensemble: average energy of each angular momentum
• Angular momentum I ground state probabilities of boson systems interacting by random interactions
• Ground state spin 0${}^{+}$ dominance of many-body systems with random interactions and related topics
• $J$-pairing Interactions of Fermions in a Single-$j$ Shell