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Towards understanding the probability of0+ground states in even-even many-body systems

2001/08/22 by Y. M. Zhao, A. Arima · 2 citations
Physics and Astronomy · #Cold Atom Physics and Bose-Einstein Condensates #Nuclear physics research studies #Quantum chaos and dynamical systems #nucl-th

paper · pdf · doi:10.1103/physrevc.64.041301

published as Phys.Rev.C64:041301,2001 · 5 pages, 1 figure. Phys. Rev. C64, in press

arxiv created 2001/08/22 · openalex publication_date 2001/09/04 · arxiv updated 2011/05/12 · openalex created_date 2016/06/24 · openalex updated_date 2026/07/28

Abstract

For single-j shells with j=7/2, 9/2, and 11/2, we relate the large probability of I+ ground states to the largest (smallest) coefficients \ensuremathα_I(v\ensuremathβ)J=〈nv\ensuremathβI|A^J\ifmmode†\else\textdagger\fi\ensuremath⋅AJ|nv\ensuremathβI〉, where n is the particle number, v is the seniority, \ensuremathβ is an additional quantum number, and I is the angular momentum of the state. Interesting regularities of the probabilities of I+ ground states are noticed and discussed for four-particle systems. Several counter examples of the 0+ ground state (0g.s.) predominance are noticed for the first time.

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