Universality for Three Bosons with Large, Negative Effective Range: Aspects and Addenda
Harald W. Griesshammer (George Washington U.)
Resummed-Range Effective Field Theory is the consistent non-relativistic Effective Field Theory of point interactions in systems with large two-body scattering length and an effective range large in magnitude but negative. Its leading order is non-perturbative, and its observables depend only on the dimensionless ratio once is chosen as base unit. This presentation highlights aspects for three identical spinless bosons and adds details to a previous discussion [1]. At leading order, no three-body interaction is needed. A ground state exists only in the range , and excited states display self-similarity and Discrete Scale Invariance, with small corrections for nonzero .