Towards understanding the probability of $0^+$ ground states in even-even many-body systems

Details Towards understanding the probability of $0^+$ ground states in even-even many-body systems Towards understanding the probability of $0^+$ ground states in even-even many-body systems

2001-08-22

arxiv.org/abs/nucl-th/0108052v1

Phys.Rev.C64:041301,2001

Physics

Nuclear Physics

Nuclear Theory

5 pages, 1 figure. Phys. Rev. C64, in press

Scientific paper

10.1103/PhysRevC.64.041301

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 $\alpha^J_{I(v \beta)} = $, where $n$ is the particle number, $v$ is the seniority, $\beta$ 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 4-particle systems. Several counter examples of the $0^+$ ground state (0GS) predominance are noticed for the first time.

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