文摘
The universal behavior of a three-boson system close to the unitary limit is encoded in a simple dependence of many observables in terms of few parameters. For example the product of the three-body parameter \(\kappa _*\) and the two-body scattering length a, \(\kappa _* a\) depends on the angle \(\xi \) defined by \(E_3/E_2=\tan ^2\xi \). A similar dependence is observed in the ratio \(a_{AD}/a\) with \(a_{AD}\) the boson-dimer scattering length. We use a two-parameter potential to determine this simple behavior and, as an application, to compute \(a_{AD}\) for the case of three \(^4\)He atoms.