Three-body bound-state calculations without angular-momentum decomposition
Three-body bound-state calculations without angular-momentum decomposition
复制标题
DOI：
10.1007/s006010050124
复制
发表时间：
1999-01-01
期刊：
影响因子：
1.6
通讯作者：
Glöckle, W
中科院分区：
文献类型：
--
作者：
Elster, C;Schadow, W;Glöckle, W
三体束缚态的 Faddeev 方程直接求解为三维积分方程，无需采用部分波分解。证明了算法的数值稳定性。计算了 Malfliet-Tjon 型势的三体结合能，并与基于部分波分解的计算结果进行了比较。完整的三体波函数被计算为矢量雅可比动量的函数。结果表明，该方法满足薛定谔方程，且精度较高。显示完整波函数的属性，并将其与作为部分波分量的有限和获得的相应波函数的属性进行比较。两种方法之间的一致性在各方面基本上都是完美的。
The Faddeev equations for the three-body bound state are solved directly as three-dimensional integral equation without employing partial wave decomposition. The numerical stability of the algorithm is demonstrated. The three-body binding energy is calculated for Malfliet-Tjon-type potentials and compared with results obtained from calculations based on partial wave decomposition. The full three-body wave function is calculated as function of the vector Jacobi momenta. It is shown that it satisfies the Schrodinger equation with high accuracy. The properties of the full wave function are displayed and compared to the ones of the corresponding wave functions obtained as finite sum of partial wave components. The agreement between the two approaches is essentially perfect in all respects.