TY - JOUR
ID - 698
TI - A three-body force model for the harmonic and anharmonic oscillator
JO - Iranian Journal of Physics Research
JA - IJPR
LA - en
SN - 1682-6957
AU - A. A. Rajabi,
AD -
Y1 - 2019
PY - 2019
VL - 5
IS - 2
SP - 111
EP - 111
KW - hypercentral - three-body- Schrödinger- hypersphreical
KW - Jacobi relative coordinates
DO -
N2 - 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.
UR - https://ijpr.iut.ac.ir/article_698.html
L1 - https://ijpr.iut.ac.ir/article_698_32ff7e355ee6da75ab2d7dd1c41f9763.pdf
ER -