论文标题
带有联系理论的多屈服系统
Multi-fermion systems with contact theories
论文作者
论文摘要
我们解决了量子存在最小要求的问题 约束状态。特别地，我们证明了一个具有零范围动量的两体相互作用的几个体系统，如果强制执行其波函数的混合对称性，则不稳定对群集的衰减不稳定。我们声称，任何两体散射长度的理论比任何其他量表都表现出这种不稳定。我们以无效的无效有效场理论无法描述$ a> 4 $ nuclei的稳定状态来体现这一点。有限的相互作用范围被确定为结合混合对称系统的足够条件。该范围的最小值取决于系统与单位性的接近度，成分的数量以及三体频谱的离散尺度不变性的特殊实现。
We address the question of minimal requirements for the existence of quantum bound states. In particular, we demonstrate that a few-body system with zero-range momentum-independent two-body interactions is unstable against decay into clusters, if mixed-symmetry of its wave function is enforced. We claim that any theory in which the two-body scattering length is much larger than any other scale involved exhibits such instability. We exemplify this with the inability of the leading-order pionless effective field theory to describe stable states of $A>4$ nuclei. A finite interaction range is identified as a sufficient condition for a bound mixed-symmetry system. The minimal value of this range depends on the proximity of a system to unitarity, on the number of constituents, and on the particular realization of discrete scale invariance of the three-body spectrum.
