Asymptotic Behaviour of the Regular Solution of Three-Particle Integrodifferential Equations in the Vicinity of the Triple Collision Point

摘要

It is shown that any regular solution of three-particle integrodifferential equations may be represented in the vicinity of the triple collision point as a double sum containing the hyperradius powers, its logarithm powers and unknown functions of a single hyperspherical angle. The recurrent integrodifferential equations are obtained for those functions in the case of spherically symmetric potentials. 12 refs. (Atomindex citation 19:096193)