HYPER-RADIAL ASYMPTOTIC OF THE WAVE FUNCTION OF THREE PARTICLES WITH COULOMB INTERACTION IN THE CONTINUUM

23 Sept 2021, 18:35
25m
Oral report Section 1. Experimental and theoretical studies of the properties of atomic nuclei. Section 1. Experimental and theoretical studies of the properties of atomic nuclei

Speaker

Prof. Sergey Yakovlev (St Petersburg State University)

Description

The asymptotic form of the wave function of a three-particle system interacting via Coulomb potentials in the continuum is described. The hyperradial asymptotic behavior of the wave function is found by study the weak asymptotic of the three-body wave function [1,2] and then applying to the asymptotic solutions of the Schroedinger equation in the hyper-spherical representation. The perspective of applications to the analysis of the few nucleon system is discussed.

  1. S.L. Yakovlev, Theor. Math. Phys. 186 (1): 126 (2016)
  2. S.L. Yakovlev, Theor. Math. Phys. 206 (1): 68-83 (2021)

Primary author

Prof. Sergey Yakovlev (St Petersburg State University)

Presentation materials