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VOLUME 116 (2022) | ISSUE 3 | PAGE 179
Minlos-Faddeev regularization of zero-range interactions in the three-body problem
Abstract
To regularize the three-body problem, Minlos and Faddeev suggested a modification of zero-range model, which diminishes interaction at the triple-collision point. The analysis reveals that this regularization results in four alternatives depending on the regularization parameter  σ . Explicitly, Efimov or Thomas effects remain for  σ < σc , the additional boundary conditions of two types should be imposed at the triple-collision point for  \sigma_c \le \sigma < \sigma_e and  σe < σ < σr , and the problem is regularized for  \sigma \ge \sigma_r . Critical values  σc < σe < σr  separating different alternatives are determined both for a two-component three-body system and for three identical bosons.