Effects of the Tensor Force on the Ground Properties of Zr Isotopes

The effects of the tensor force on the ground properties of Zr isotopes are studied in the framework of the Skyrme–Hartree–Fock approach. It is found that the tensor force strongly affects the ground state energies and the geometric symmetry properties, in particular for those isotopes near <inli...

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Autores principales:	Chao-Feng Chen, Qi-Bo Chen, Xian-Rong Zhou, Yi-Yuan Cheng
Formato:	article
Lenguaje:	EN
Publicado:	MDPI AG 2021
Materias:	Skyrme–Hartree–Fock approach tensor force Zr isotopes spin and pseudospin symmetry Mathematics QA1-939
Acceso en línea:	https://doaj.org/article/e49f4ff699de416499b7f9de4fff8dec
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spelling	oai:doaj.org-article:e49f4ff699de416499b7f9de4fff8dec2021-11-25T19:07:29ZEffects of the Tensor Force on the Ground Properties of Zr Isotopes10.3390/sym131121932073-8994https://doaj.org/article/e49f4ff699de416499b7f9de4fff8dec2021-11-01T00:00:00Zhttps://www.mdpi.com/2073-8994/13/11/2193https://doaj.org/toc/2073-8994The effects of the tensor force on the ground properties of Zr isotopes are studied in the framework of the Skyrme–Hartree–Fock approach. It is found that the tensor force strongly affects the ground state energies and the geometric symmetry properties, in particular for those isotopes near <inline-formula><math xmlns="http://www.w3.org/1998/Math/MathML" display="inline"><semantics><mrow><mi>N</mi><mo>=</mo><mn>60</mn></mrow></semantics></math></inline-formula> region. The effects are attributed to the fact that the tensor force enlarges the spin and pseudospin symmetry breaking and therefore results in a ∼2 MeV sub-shell gap between <inline-formula><math xmlns="http://www.w3.org/1998/Math/MathML" display="inline"><semantics><msub><mi>d</mi><mrow><mn>3</mn><mo>/</mo><mn>2</mn></mrow></msub></semantics></math></inline-formula> and <inline-formula><math xmlns="http://www.w3.org/1998/Math/MathML" display="inline"><semantics><msub><mi>s</mi><mrow><mn>1</mn><mo>/</mo><mn>2</mn></mrow></msub></semantics></math></inline-formula> single-particle levels.Chao-Feng ChenQi-Bo ChenXian-Rong ZhouYi-Yuan ChengMDPI AGarticleSkyrme–Hartree–Fock approachtensor forceZr isotopesspin and pseudospin symmetryMathematicsQA1-939ENSymmetry, Vol 13, Iss 2193, p 2193 (2021)
institution	DOAJ
collection	DOAJ
language	EN
topic	Skyrme–Hartree–Fock approach tensor force Zr isotopes spin and pseudospin symmetry Mathematics QA1-939
spellingShingle	Skyrme–Hartree–Fock approach tensor force Zr isotopes spin and pseudospin symmetry Mathematics QA1-939 Chao-Feng Chen Qi-Bo Chen Xian-Rong Zhou Yi-Yuan Cheng Effects of the Tensor Force on the Ground Properties of Zr Isotopes
description	The effects of the tensor force on the ground properties of Zr isotopes are studied in the framework of the Skyrme–Hartree–Fock approach. It is found that the tensor force strongly affects the ground state energies and the geometric symmetry properties, in particular for those isotopes near <inline-formula><math xmlns="http://www.w3.org/1998/Math/MathML" display="inline"><semantics><mrow><mi>N</mi><mo>=</mo><mn>60</mn></mrow></semantics></math></inline-formula> region. The effects are attributed to the fact that the tensor force enlarges the spin and pseudospin symmetry breaking and therefore results in a ∼2 MeV sub-shell gap between <inline-formula><math xmlns="http://www.w3.org/1998/Math/MathML" display="inline"><semantics><msub><mi>d</mi><mrow><mn>3</mn><mo>/</mo><mn>2</mn></mrow></msub></semantics></math></inline-formula> and <inline-formula><math xmlns="http://www.w3.org/1998/Math/MathML" display="inline"><semantics><msub><mi>s</mi><mrow><mn>1</mn><mo>/</mo><mn>2</mn></mrow></msub></semantics></math></inline-formula> single-particle levels.
format	article
author	Chao-Feng Chen Qi-Bo Chen Xian-Rong Zhou Yi-Yuan Cheng
author_facet	Chao-Feng Chen Qi-Bo Chen Xian-Rong Zhou Yi-Yuan Cheng
author_sort	Chao-Feng Chen
title	Effects of the Tensor Force on the Ground Properties of Zr Isotopes
title_short	Effects of the Tensor Force on the Ground Properties of Zr Isotopes
title_full	Effects of the Tensor Force on the Ground Properties of Zr Isotopes
title_fullStr	Effects of the Tensor Force on the Ground Properties of Zr Isotopes
title_full_unstemmed	Effects of the Tensor Force on the Ground Properties of Zr Isotopes
title_sort	effects of the tensor force on the ground properties of zr isotopes
publisher	MDPI AG
publishDate	2021
url	https://doaj.org/article/e49f4ff699de416499b7f9de4fff8dec
work_keys_str_mv	AT chaofengchen effectsofthetensorforceonthegroundpropertiesofzrisotopes AT qibochen effectsofthetensorforceonthegroundpropertiesofzrisotopes AT xianrongzhou effectsofthetensorforceonthegroundpropertiesofzrisotopes AT yiyuancheng effectsofthetensorforceonthegroundpropertiesofzrisotopes
_version_	1718410312246362112

Effects of the Tensor Force on the Ground Properties of Zr Isotopes

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