Validity of Quasi-classical Approaches to True Three-Body Decays
Paper in proceeding, 2020

Within the hyperspherical harmonics (HH) method the three-body problem is reduced to a motion of one effective particle in a “strongly deformed” field, which is described in the coupled-channel formalism. This method is well suited to studies of so-called true three-body decays. The reduction of the hyperspherical equations set to a single-channel approximation provides the basis of standard quasi-classical (QC) expression for width evaluation. We demonstrate that by itself the quasi-classical approach is quite precise in application to typical three-body effective potentials. However, the reduction to a single channel leads to a significant overestimation of the width.


O. M. Sukhareva

Omsk State Technical University

L Grigorenko

Joint Institute for Nuclear Research (JINR)

National Research Centre "Kurchatov Institute"

National Research Nuclear University

D. Kostyleva


Justus Liebig University Giessen

Mikhail Zhukov

Chalmers, Physics

Springer Proceedings in Physics

09308989 (ISSN) 18674941 (eISSN)

Vol. 238 283-286

Caen, France,

Subject Categories


Computational Mathematics

Signal Processing



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