Regularities of Many-body Systems Interacting by a Two-body Random Ensemble
| dc.creator | Zhao, Y. M. | |
| dc.creator | Arima, A. | |
| dc.creator | Yoshinaga, N. | |
| dc.date | 2003-11-14 | |
| dc.date | 2004-07-30 | |
| dc.date.accessioned | 2026-07-07T05:39:59Z | |
| dc.date.available | 2026-07-07T05:39:59Z | |
| dc.description | The ground states of all even-even nuclei have angular momentum, $I$, equal to zero, I=0, and positive parity, $π=+$. This feature was believed to be a consequence of the attractive short-range interaction between nucleons. However, in the presence of two-body random interactions, the predominance of $I^π=0^+$ ground states (0 g.s.) was found to be robust both for bosons and for an even number of fermions. For simple systems, such as $d$ bosons, $sp$ bosons, $sd$ bosons, and a few fermions in single-$j$ shells for small $j$, there are a few approaches to predict and/or explain spin $I$ ground state ($I$ g.s.) probabilities. An empirical approach to predict $I$ g.s. probabilities is available for general cases, such as fermions in a single-$j$ ($j>7/2$) or many-$j$ shells and various boson systems, but a more fundamental understanding of the robustness of 0 g.s. dominance is still out of reach. Further interesting results are also reviewed concerning other robust phenomena of many-body systems in the presence of random two-body interactions, such as the odd-even staggering of binding energies, generic collectivity, the behavior of average energies, correlations, and regularities of many-body systems interacting by a displaced two-body random ensemble. | |
| dc.description | finalized version, review article (103 pages, 23 figures). accepted by Physics Reports | |
| dc.identifier | https://arxiv.org/abs/nucl-th/0311050 | |
| dc.identifier | http://arxiv.org/abs/nucl-th/0311050 | |
| dc.identifier | Phys.Rept. 400 (2004) 1-66 | |
| dc.identifier | doi:10.1016/j.physrep.2004.07.004 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/82126 | |
| dc.subject | Nuclear Theory | |
| dc.title | Regularities of Many-body Systems Interacting by a Two-body Random Ensemble | |
| dc.type | text |