First attempt to overcome the disaster of Dirac sea in imaginary time step method

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2009 Chinese Physical Society and the Institute of High Energy Physics of the Chinese Academy of Sciences and the Institute of Modern Physics of the Chinese Academy of Sciences and IOP Publishing Ltd
, , Citation Zhang Ying et al 2009 Chinese Phys. C 33 113 DOI 10.1088/1674-1137/33/S1/036

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Author e-mails

mengj@pku.edu.cn

Author affiliations

1 School of Physics and State Key Laboratory of Nuclear Physics and Technology, Peking University, Beijing 100871, China

2 Institut de Physique Nucléaire, IN2P3-CNRS and Université Paris-Sud, F-91406 Orsay, France

3 Institute of Theoretical Physics, Chinese Academy of Sciences, Beijing, China

4 Center of Theoretical Nuclear Physics, National Laboratory of Heavy Ion Accelerator, Lanzhou, 730000, China

5 Department of Physics, University of Stellenbosch, Stellenbosch, South Africa

Dates

  1. Received 3 September 2008
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1674-1137/33/S1/113

Abstract

Efforts have been made to solve the Dirac equation with axially deformed scalar and vector Woods–Saxon potentials in the coordinate space with the imaginary time step method. The results of the single-particle energies thus obtained are consistent with those calculated with the basis expansion method, which demonstrates the feasibility of the imaginary time step method for the relativistic static problems.

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