By exploiting higher partial wave solutions for the Hulthén potential, constructed via the factorisation method, closed form analytical expressions of the Fredholm determinants for motion in Hulthén plus modified Graz separable potential are constructed to study on-shell scattering up to partial wave \(\ell =2\). Phase shifts for different states of \(\alpha \)-\(^{{3}}\)H and \(\alpha \)-\(^{{3}}\)He are obtained by exploiting the expression of the Fredholm determinant. The results are found in reasonable agreement with the standard data (Spiger and Tombrello 1967).

中文翻译：

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Hulthén 扭曲的可分离势的 Fredholm 决定因素

通过利用 Hulthén 势的更高分波解，通过分解方法构建，Hulthén 中运动的 Fredholm 行列式的封闭形式解析表达式加上修正的 Graz 可分离势被构建来研究壳上散射直到分波\(\ell =2\)。\(\alpha \) - \(^{{3}}\) H 和\(\alpha \) - \(^{{3}}\)不同状态的相移He是通过利用以下表达式获得的弗雷德霍尔姆行列式。结果与标准数据（Spiger 和 Tombrello 1967）具有合理的一致性。