Analytic Continuation  in the Coupling Constant Method for the Dirac Equation

Chin. Phys. Lett.

2004, Vol. 21

Issue (4): 632-635 DOI:

Original Articles

Analytic Continuation in the Coupling Constant Method for the Dirac Equation

ZHANG Shi-Sheng¹;GUO Jian-You^1,2;ZHANG Shuang-Quan¹;MENG Jie^1,3,4

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

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ZHANG Shi-Sheng, GUO Jian-You, ZHANG Shuang-Quan et al 2004 Chin. Phys. Lett. 21 632-635

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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.

Keywords: 25.70.Ef 24.30.Gd 24.10.Jv 21.60.-n

Published: 01 April 2004

PACS:	25.70.Ef	(Resonances)
	24.30.Gd	(Other resonances)
	24.10.Jv	(Relativistic models)
	21.60.-n	(Nuclear structure models and methods)

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https://cpl.iphy.ac.cn/ OR https://cpl.iphy.ac.cn/Y2004/V21/I4/0632

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