具有吸引1/r势的三体系统
Three-body systems with attractive 1/r potentials
摘要：
本文用超球绝热表象描述了三个全同玻色子在1/r引力势作用下的自旋拉伸态相互作用系统。已经提出了一个建议，如何在实验上实现这样的系统，在冷囚禁原子使用极端非共振激光场[物理评论快报。84，5687（2000）]。我们已经获得了有效的潜力，通道功能，和非绝热耦合这种类重力相互作用，使我们能够计算的基态能量的准确性，大大提高了以前的结果。我们同样计算了前四个0^+激发态的能量。这些结果表明，简单的绝热超球近似提供了一个准确的描述这样的系统。
英文摘要：
We have used the hyperspherical adiabatic representation to describe the system of three identical bosons in an spin stretched state interacting by an attractive 1/r potential. A proposal has been made how such a system might be realized experimentally in cold trapped atoms using extremely off-resonant laser fields [Phys. Rev. Lett. 84, 5687 (2000)]. We have obtained effective potentials, channel functions, and nonadiabatic couplings for this gravity-like interaction, allowing us to calculate the ground state energy with accuracy that substantially improves upon previous results. We have similarly calculated the energies for the first four 0^+ excited states. These results show that the simple adiabatic hyperspherical approximation offers an accurate description for such a system.
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