论文标题
$ {}^4 \ Mathrm {He} $ Atoms的四体系统：二聚体散射
Four-body system of ${}^4\mathrm{He}$ atoms: Dimer-dimer scattering
论文作者
论文摘要
强烈的短期排斥（以逼真的原子间潜能为特征）使对弱结合的几个身体系统（例如\ He原子）的描述变得复杂。本工作提出了一种解决此问题的方法，并将其应用于四个$ {}^4 \ mathrm {He} $原子的现实系统。电势被逐渐变软，使得在动量空间框架中可以准确地解决严格的界和散射四体方程，并将结果推回原始电位的极限。观察到三个身体数量之间的线性相关性，并通过外推三体量来提高过程的准确性。 $ {}^4 \ mathrm {He} $ Tetramer地面和激发态绑定能量和原子 - 搅拌器散射的结果非常吻合，至少与现有分歧有关。为二聚二聚体散射长度建立了菲利普斯相关线的另一种情况。估计通过超速二维碰撞的三聚体生产速率，尽管二聚体的结合较弱，但仍表现出显着的有限范围效应。
The strong short-range repulsion, characteristic to realistic interatomic potentials, complicates the description of weakly-bound few-body systems such as those of \He atoms. The present work proposes an approach for solving this problem and applies it to a realistic system of four ${}^4\mathrm{He}$ atoms. The potential is gradually softened such that rigorous four-body equations for bound and scattering tates can be accurately solved in the momentum-space framework, and the results are extrapolated back to the limit of the original potential. Linear correlations between three- and four body quantities are observed, and the accuracy of the procedure is improved by extrapolating in one of the three-body quantities. Results for the ${}^4\mathrm{He}$ tetramer ground and excited state binding energies and atom-trimer scattering agree well with at least some of earlier determinations and shed light on the existing disagreements. An additional case of the Phillips correlation line is established for the dimer-dimer scattering length. The trimer production rate via the ultracold two-dimer collisions is estimated, it exhibits significant finite-range effects despite the weak binding of the dimer.
