LAUSR

In this paper we study the renormalization of Halo effective field theory applied to the Helium-6 halo nucleus seen as an $$\alpha $$α–neutron–neutron three-body state. We include the $$0^+$$0+ dineutron channel together with both the $$3/2^-$$3/2- and $$1/2^-$$1/2- neutron–$$\alpha $$α 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 $$1/2^-$$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 $$3/2^-$$3/2- and $$1/2^-$$1/2- included, the system can not be renormalized by only one three-body operator.