## Calculation of Energy Eigenvalues and Eigenvectors for Three Body Molecules in Jacobi and Hyperspherical Coordinates

The jacobi coordinates is used to eliminate center of mass motion of three body systems. We write the results in hyperspherical coordinates and expand eigenfunction in a series of orthonormal complete set of Y{sub k{alpha}{sub i}} ({omega}{sub i}) in partition i of jacobi coordinates. The matrix elements of two body interaction potential in hyperspherical harmonic approach are determined exactly using computed analytical form of Raynal-Revai coefficients to change the base set of Y{sub k{alpha}{sub i}} ({omega}{sub i}) to other set such as Y{sub k{alpha}{sub i}} ({omega}{sub j}. The generalized Laguerre functions are used to change the second order coupled differentialmore »