Three-body resonances in pionless effective field theory

Abstract

We investigate the appearance of resonances in three-body systems using pionless effective field theory at leading order. The Faddeev equation is analytically continued to the unphysical sheet adjacent to the positive real energy axis using a contour rotation. We consider both, the three-boson system and the three-neutron system. For the former, we calculate the trajectory of Borromean three-body Efimov states turning into resonances as they cross the three-body threshold. For the latter, we find no sign of three-body resonances or virtual states at leading order. This result is validated by exploring the level structure of three-body states in a finite volume approach.

Theory of Halo Nuclei

“…An overview of the theoretical and experimental situation can be found in (Marqués and Carbonell, 2021). See also Dietz et al (2021) for a discussion of the status of three-neutron resonances.…”