Regularized zero-range model and an application to the triton and the hypertriton

We examine the regularized zero-range model in an application to three-fermion systems – the triton and the hypertriton. We consider bound states and low-energy neutron-deuteron and lambda-deuteron scattering. The model is shown to provide an adequate quantitative description of these system on a par with finite-range potential models. The well known correlation between the doublet nd scattering length and the triton binding energy (Phillips line) finds a natural explanation within the model. PACS: 21.45.+v, 11.80.Jy, 21.30.Fe Key-words: Zero-range potential; Regularization; Three-body problem; Effective field theory;