Energy Thresholds of Stability of Three-Particle Systems

I. V. Simenog; Yu. M. Bidasyuk; B. E. Grinyuk; M. V. Kuzmenko

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Energy Thresholds of Stability of Three-Particle Systems

I. V. Simenog·Yu. M. Bidasyuk·B. E. Grinyuk·M. V. Kuzmenko

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Abstract

We have studied the general properties of the energy thresholds of stability for a three-particle system with short-range interaction. A wide region of the interaction constants and various ratios of the masses of particles are considered. The specific effects characteristic of the near-threshold stationary energy levels of three particles are revealed. The asymptotic estimates are obtained for the thresholds at some limiting cases, and the high-precision variational calculations of the thresholds for various values of the interaction constants and the masses of particles are carried out.

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I. V. Simenog, Yu. M. Bidasyuk, B. E. Grinyuk, M. V. Kuzmenko. 2007-03-11. Energy Thresholds of Stability of Three-Particle Systems. https://arxiv.org/abs/nucl-th/0703025

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