%0 Journal Article
%T A three-body force model for the harmonic and anharmonic oscillator
%J Iranian Journal of Physics Research
%I Isfahan University of Technology,
The Physics Society of Iran
%Z 1682-6957
%A A. A. Rajabi,
%D 2019
%\ 11/26/2019
%V 5
%N 2
%P 111-111
%! A three-body force model for the harmonic and anharmonic oscillator
%K hypercentral - three-body- Schrödinger- hypersphreical
%K Jacobi relative coordinates
%R
%X We present a mathematical method to describe motion of a system based on 3 identical body forces. The 3-body forces are more easily introduced and treated within the hyperspherical harmonics. We have obtained an exact solution of the radial Schrödinger equation for a 3- body system in three dimensions. The interact potential V is assumed to depend on the hyperradius X only where X is a function of the Jacobi relative coordinates ρ and λ which are functions of the three identical particles, relative positions r12 , r23 and r31 . This method has been extensively used in nuclear and molecular physics. This work is interesting to those who are studying hadronic and bosonics physics and problems consisting three - body systems.
%U https://ijpr.iut.ac.ir/article_698_32ff7e355ee6da75ab2d7dd1c41f9763.pdf