Boundary Conditions of Wigner-Seitz Cell in Inner Crust of Neutron Stars with Relativistic Mean Field Approach

Chin. Phys. Lett.

2008, Vol. 25

Issue (1): 73-76 DOI:

Original Articles

Boundary Conditions of Wigner-Seitz Cell in Inner Crust of Neutron Stars with Relativistic Mean Field Approach

CAO Ji-Guang¹;YANG Ding¹;MA Zhong-Yu^1,2;Nguyen Van Giai³

¹China Institute of Atomic Energy, Beijing 102413²Center of Theoretical Nuclear Physics, National Laboratory of Heavy Ion Accelerator of Lanzhou, Lanzhou 730000³Institut de Physique Nucleaire, Universite Paris-Sud, IN2P3-CNRS, F-91406 Orsay Cedex, France

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CAO Ji-Guang, YANG Ding, MA Zhong-Yu et al 2008 Chin. Phys. Lett. 25 73-76

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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 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.

Keywords: 25.60.Pj 25.70.Jj 27.90.+b

Received: 14 August 2007 Published: 27 December 2007

PACS:	25.60.Pj	(Fusion reactions)
	25.70.Jj	(Fusion and fusion-fission reactions)
	27.90.+b	(A ≥ 220)

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https://cpl.iphy.ac.cn/ OR https://cpl.iphy.ac.cn/Y2008/V25/I1/073

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	CAO Ji-Guang
	YANG Ding
	MA Zhong-Yu
	Nguyen Van Giai

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