Analytic continuation in the coupling constant method for the Dirac equation
Analytic continuation in the coupling constant method for the Dirac equation
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DOI：
10.1088/0256-307x/21/4/012
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发表时间：
2004-04
影响因子：
3.5
通讯作者：
Zhang Shi-sheng;Guo Jian-you;Zhang Shuang-quan;M. Jie
中科院分区：
文献类型：
--
作者：
Zhang Shi-sheng;Guo Jian-you;Zhang Shuang-quan;M. Jie
从Dirac方程出发，采用耦合常数法中的解析延拓方法，研究了方势阱、谐振子和Woods-Saxon势中单粒子共振的能量和宽度.分析了耦合常数间隔和Pade逼近阶数的影响。结果表明，通过适当选择耦合常数区间和Pade近似阶数，可以得到稳定收敛的单粒子共振态的能量和宽度，从而使相对论平均场理论中耦合常数解析延拓的应用成为可能.
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 Pade approximant order are analysed. It is shown that, by properly choosing the coupling constant interval and the Pade 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.