1School of Physics, Peking University, Beijing 100871
2Department of Physics, Anhui University, Hefei 230039
3Institute of Theoretical Physics, Chinese Academy of Sciences, Beijing 100080
4Center of Theoretical Nuclear Physics, National Laboratory of Heavy Ion Accelerator, Lanzhou 730000
Analytic Continuation in the Coupling Constant Method for the Dirac Equation
1School of Physics, Peking University, Beijing 100871
2Department of Physics, Anhui University, Hefei 230039
3Institute of Theoretical Physics, Chinese Academy of Sciences, Beijing 100080
4Center of Theoretical Nuclear Physics, National Laboratory of Heavy Ion Accelerator, Lanzhou 730000
Abstract： On the basis of the Dirac equation, the analytic continuation in the coupling constant method is employed to investigate the energies and widths of single-particle resonant in square-well, harmonic-oscillator, and Woods-Saxon potentials. The influences of the coupling constant interval and the Padé approximant order are analysed. It is shown that, by properly choosing the coupling constant interval and the Padé approximant order, stable and convergent energies and widths of single-particle resonant states can be obtained, which makes the application of the analytic continuation in the coupling constant for the relativistic mean field theory possible.
2004, Vol. 21 
