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Journal Article

Three-body resonances in pionless effective field theory

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Schwenk,  Achim
Division Prof. Dr. Klaus Blaum, MPI for Nuclear Physics, Max Planck Society;

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2109.11356.pdf
(Preprint), 900KB

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Citation

Dietz, S., Hammer, H.-W., König, S., & Schwenk, A. (2022). Three-body resonances in pionless effective field theory. Physical Review C, 105(6): 064002. doi:10.1103/PhysRevC.105.064002.


Cite as: https://hdl.handle.net/21.11116/0000-000A-A6A4-1
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.