| Boundary Conditions of Wigner-Seitz Cell in Inner Crust of Neutron Stars with Relativistic Mean Field Approach |
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| 作者姓名： | 曹继光 杨丁 马中玉 Nguyen Van Giai |
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| 作者单位： | [1]China Institute of Atomic Energy, Beijing 102413 [2]Center of Theoretical Nuclear Physics, National Laboratory of Heavy Ion Accelerator of Lanzhou, Lanzhou 730000 [3]Institut de Physique Nuclgaire, Universitg Paris-Sud, IN2P3-CNRS, F-91406 Orsay Cedex, France |
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| 基金项目： | Supported by the National Natural Science Foundation of China under Grant Nos 10475116, 10535010 and 10775183, the National Basic Research Programme of China under Contract No 2007CB81500, and the European Community Project Asia-Europe Link in Nuclear Physics and Astrophysics under Grant No CN/ASIA-LINK/008（94791）. |
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| 摘 要： | The microscopic structure of the Wigner-Seitz （W-S） cell in the inner crust of neutron stars is investigated with the relativistic mean field （RMF） approach. The W-S cell is composed of a cluster of neutrons and protons localized in a region around the centre and surrounded by a neutron gas of approximately uniform density. In order to generate the density of the W-S cell, appropriate boundary conditions in the calculation of the single-particle wavefunctions are necessary. We emphasize on the choice of the boundary conditions in the RMF approach. Three kinds of boundary conditions are suggested. The properties of the W-S cell with the three kinds of boundary conditions are investigated. The neutron density distributions in the RMF and Hartree-Fock-Bogoliubov （HFB） models are compared. It is found that the neutron gas densities of the W-S cell in the RMF model is higher than those obtained in the HFB model.
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| 关 键 词： | 中子星 相对论 显微结构 天文学 |
| 收稿时间： | 2007-08-14 |
Boundary Conditions of Wigner-Seitz Cell in Inner Crust of Neutron Stars with Relativistic Mean Field Approach |
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| CAO Ji-Guang,YANG Ding,MA Zhong-Yu,Nguyen Van Giai.Boundary Conditions of Wigner-Seitz Cell in Inner Crust of Neutron Stars with Relativistic Mean Field Approach[J].Chinese Physics Letters,2008,25(1):73-76. |
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| Authors: | CAO Ji-Guang YANG Ding MA Zhong-Yu Nguyen Van Giai |
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| Affiliation: | China Institute of Atomic Energy, Beijing 102413Center of Theoretical Nuclear Physics, National Laboratory of Heavy Ion Accelerator of Lanzhou, Lanzhou 730000Institut de Physique Nucleaire, Universite Paris-Sud, IN2P3-CNRS, F-91406 Orsay Cedex, France |
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| Abstract: | The microscopic structure of the Wigner--Seitz (W-S) cell in the inner crust of neutron stars is investigated with the relativistic mean field (RMF) approach. The W-S cell is composed of a cluster of neutrons and protons localized in aregion around the centre and surrounded by a neutron gas of approximately uniform density. In order to generate the density of the W-S cell, appropriate boundary conditions in the calculation of the single-particle wavefunctions are necessary. We emphasize on the choice of the boundary conditions in the RMF approach. Three kinds of boundary conditions are suggested. The properties of the W-S cell with the three kinds of boundary conditions are investigated. The neutron density distributions in the RMF and Hartree--Fock--Bogoliubov (HFB) models are compared. It is found that the neutron gas densities of the W-S cell in the RMF model is higher than those obtained in the HFB model. |
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| Keywords: | 25 60 Pj 25 70 Jj 27 90 +b |
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