Three-body halo states in effective field theory
Abstract
In this paper we study the renormalization of Halo effective field theory applied to the Helium-6 halo nucleus seen as an alpha-neutron-neutron three-body state. We include the 0+ dineutron channel together with both the 3/2- and 1/2- neutron-alpha channels into the field theory and study all of the six lowest-order three-body interactions that are present. Furthermore, we discuss three different prescriptions to handle the unphysical poles in the P-wave two-body sector. In the simpler field theory without the 1/2- channel present we find that the bound-state spectrum of the field theory is renormalized by the inclusion of a single three-body interaction. However, in the field theory with both the 3/2- and 1/2- included, the system can not be renormalized by only one three-body operator.
Keywords
Cite
@article{arxiv.1701.08576,
title = {Three-body halo states in effective field theory},
author = {Emil Ryberg and Christian Forssén and Lucas Platter},
journal= {arXiv preprint arXiv:1701.08576},
year = {2017}
}
Comments
13 pages, 6 figures