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.
A. A. Rajabi, . (2019). A three-body force model for the harmonic and anharmonic oscillator. Iranian Journal of Physics Research, 5(2), 111-111.
MLA
A. A. Rajabi, . "A three-body force model for the harmonic and anharmonic oscillator", Iranian Journal of Physics Research, 5, 2, 2019, 111-111.
HARVARD
A. A. Rajabi . (2019). 'A three-body force model for the harmonic and anharmonic oscillator', Iranian Journal of Physics Research, 5(2), pp. 111-111.
CHICAGO
A. A. Rajabi, "A three-body force model for the harmonic and anharmonic oscillator," Iranian Journal of Physics Research, 5 2 (2019): 111-111,
VANCOUVER
A. A. Rajabi . A three-body force model for the harmonic and anharmonic oscillator. Iranian Journal of Physics Research. 2019;5(2):111-111 (In Persian).
