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.
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Ryberg, E., Forssén, C. & Platter, L. Three-Body Halo States in Effective Field Theory: Renormalization and Three-Body Interactions in the Helium-6 System. Few-Body Syst 58, 143 (2017). https://doi.org/10.1007/s00601-017-1307-1
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DOI: https://doi.org/10.1007/s00601-017-1307-1