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基于Schrdinger方程的耦合常数解析延拓方法
Method of the Analytical Continuation of the Coupling Constant in Schrdinger Equations
【摘要】 基于Schr¨odinger方程 ,利用耦合常数解析延拓方法研究了球对称的方势阱、Woods Saxon势和谐振子势中的单粒子共振态的能量与宽度 .分析了耦合常数的取值区间和Pad啨多项式阶数对计算结果的影响 .结果发现 ,在适当的耦合常数取值范围内 ,随着Pad啨多项式阶数的增加可以得到稳定和收敛的单粒子共振态能量与宽度 .
【Abstract】 Based on Schrdinger equation, the method of analytical continuation in the coupling constant (ACCC) is employed to investigate the energy and width of single-particle resonance in spherically symmetric square well, harmonic oscillator potential and Woods-Saxon potential. The influences of the interval for the coupling constant values and the order of Pad polynomial are analyzed. It has been shown that, by properly chosen interval for the coupling constant values and the order of Pad polynomial, stable and convergent energy and width of single-particle resonance can be obtained.
【Key words】 analytical continuation; coupling constant; Pad polynomial; resonance; energy and width; Schrdinger equation;
- 【文献出处】 高能物理与核物理 ,High Energy Physics and Nuclear Physics , 编辑部邮箱 ,2003年12期
- 【分类号】O411.1
- 【被引频次】8
- 【下载频次】105