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
Materias:	Variation after projection High-spin states Shell model Physics QC1-999
Acceso en línea:	https://doaj.org/article/df42d9702560446b88656ed3bf0113b0
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id	oai:doaj.org-article:df42d9702560446b88656ed3bf0113b0
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spelling	oai:doaj.org-article:df42d9702560446b88656ed3bf0113b02021-11-28T04:27:48ZVariation after projection calculations for high-spin states0370-269310.1016/j.physletb.2021.136795https://doaj.org/article/df42d9702560446b88656ed3bf0113b02022-01-01T00:00:00Zhttp://www.sciencedirect.com/science/article/pii/S0370269321007358https://doaj.org/toc/0370-2693In 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.Zao-Chun GaoElsevierarticleVariation after projectionHigh-spin statesShell modelPhysicsQC1-999ENPhysics Letters B, Vol 824, Iss , Pp 136795- (2022)
institution	DOAJ
collection	DOAJ
language	EN
topic	Variation after projection High-spin states Shell model Physics QC1-999
spellingShingle	Variation after projection High-spin states Shell model Physics QC1-999 Zao-Chun Gao Variation after projection calculations for high-spin states
description	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.
format	article
author	Zao-Chun Gao
author_facet	Zao-Chun Gao
author_sort	Zao-Chun Gao
title	Variation after projection calculations for high-spin states
title_short	Variation after projection calculations for high-spin states
title_full	Variation after projection calculations for high-spin states
title_fullStr	Variation after projection calculations for high-spin states
title_full_unstemmed	Variation after projection calculations for high-spin states
title_sort	variation after projection calculations for high-spin states
publisher	Elsevier
publishDate	2022
url	https://doaj.org/article/df42d9702560446b88656ed3bf0113b0
work_keys_str_mv	AT zaochungao variationafterprojectioncalculationsforhighspinstates
_version_	1718408412689072128

Variation after projection calculations for high-spin states

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