Variation after projection calculations for high-spin states

In this paper, an improvement has been made on the variation after projection (VAP) method, which is crucial in the calculations of high-spin states. It turns out that, the form of the trial VAP wave function with spin J can be simplified by adopting just one projected state rather than previously a...

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Autor principal: Zao-Chun Gao
Formato: article
Lenguaje:EN
Publicado: Elsevier 2022
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Acceso en línea:https://doaj.org/article/df42d9702560446b88656ed3bf0113b0
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Sumario:In this paper, an improvement has been made on the variation after projection (VAP) method, which is crucial in the calculations of high-spin states. It turns out that, the form of the trial VAP wave function with spin J can be simplified by adopting just one projected state rather than previously adopting all (2J+1) angular momentum projected states for each selected reference state, |Φ〉. The present calculations show that such simplification still minimizes the angular momentum projected energy up to a very good approximation. In this simplified VAP scheme, one can obtain almost equivalent VAP wave functions starting from different sets of the projected basis states. This clearly shows that a nuclear state can not be identified with a single intrinsic state, while in the traditional nuclear collective models, an intrinsic state is usually assigned to a well deformed rotational band.