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

Y. M. Zhao·A. Arima
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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 $α^J_{I(v β)} = $, where $n$ is the particle number, $v$ is the seniority, $β$ 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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Y. M. Zhao, A. Arima. 2001-08-22. Towards understanding the probability of $0^+$ ground states in even-even many-body systems. https://doi.org/10.1103/physrevc.64.041301

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