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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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) |
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Skyrme–Hartree–Fock approach tensor force Zr isotopes spin and pseudospin symmetry Mathematics QA1-939 |
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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 |