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Construction of an equivalent energy-dependent potential by a Taylor series expansion
Theoretical and Mathematical Physics ( IF 1.0 ) Pub Date : 2020-10-01 , DOI: 10.1134/s0040577920100086
A. K. Behera , B. Khirali , U. Laha , J. Bhoi

To construct a phase-equivalent energy-dependent local potential corresponding to a sum of local and nonlocal interactions, we use a simple method for expanding the wave function in a Taylor series up to the third order. We apply the constructed potentials to calculate the scattering phase shifts using the phase equation. The results for scattering in nucleon–nucleon, $$\alpha$$ –nucleon, and $$\alpha$$ – $$\alpha$$ systems agree reasonably well with the standard data.

中文翻译:

通过泰勒级数展开构造等效的能量依赖势

为了构建与局部和非局部相互作用的总和相对应的相位等效能量相关局部势,我们使用一种简单的方法将泰勒级数中的波函数扩展到三阶。我们应用构建的电位来使用相位方程计算散射相移。在核子-核子、$$\alpha$$-nucleon 和 $$\alpha$$-$$\alpha$$ 系统中的散射结果与标准数据相当吻合。
更新日期:2020-10-01
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