Abstract
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.
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Acknowledgements
O.M.S. and L.V.G. were partly supported by the Russian Science Foundation grant No. 17-12-01367.
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Sukhareva, O.M., Grigorenko, L.V., Kostyleva, D.A., Zhukov, M.V. (2020). Validity of Quasi-classical Approaches to True Three-Body Decays. In: Orr, N., Ploszajczak, M., Marqués, F., Carbonell, J. (eds) Recent Progress in Few-Body Physics. FB22 2018. Springer Proceedings in Physics, vol 238. Springer, Cham. https://doi.org/10.1007/978-3-030-32357-8_50
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DOI: https://doi.org/10.1007/978-3-030-32357-8_50
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