论文标题
$ n = 3 $的统一窗口的高斯表征：绑定，散射和虚拟状态
Gaussian characterization of the unitary window for $N=3$: bound, scattering and virtual states
论文作者
论文摘要
研究了三个相等的玻色子和三个相等的费米子内部的三体系统，具有$ 1/2 $ spin-Isospin对称性。我们使用高斯电势对窗户进行高斯表征，以将低能量的轨迹定义为结合能和相移。在此轨迹之上，实验值是在不可用的情况下放置的，该数量是使用已知可重现实验值的现实电位计算的。目的是表明窗户的高斯表征，将其视为接触相互作用以及范围校正，捕获了真实系统的主要低能特性，例如三个氦原子或三个核子。在高斯轨迹上的真实系统的映射被认为是普遍行为的指示。这些轨迹将物理点不断地将物理点连接到统一限制，从而可以解释出现在实际系统中的观测值之间的强相关性，并且已知存在于该极限中。在本研究中，我们专注于低能结合，散射和虚拟状态。
The three-body system inside the unitary window is studied for three equal bosons and three equal fermions having $1/2$ spin-isospin symmetry. We perform a gaussian characterization of the window using a gaussian potential to define trajectories for low-energy quantities as binding energies and phase shifts. On top of this trajectories experimental values are placed or, when not available, quantities calculated using realistic potentials that are known to reproduce experimental values. The intention is to show that the gaussian characterization of the window, thought as a contact interaction plus range corrections, captures the main low-energy properties of real systems as for example three helium atoms or three nucleons. The mapping of real systems on the gaussian trajectories is taken as indication of universal behavior. The trajectories continuously link the physical points to the unitary limit allowing for the explanation of strong correlations between observables appearing in real systems and which are known to exist in that limit. In the present study we focus on low-energy bound, scattering and virtual states.
