Abstract: The wave functions of the n_1,3p (n=2, 3, 4) and the n_1,3D (n=3, 4, 5) low-lying states of the helium atom are expanded into the complete sets of the symmetrically adapted basis functions from hyperspherical harmonic functions in the angle part and of generalized Laguerre functions in the radial part respectively, and are then augmented by the simplest type of Jastrow correlation factor to incorporate electron-nucleus cusp only.The excellent agreement between the present nonrelativistic eigen-energies and those from the sophisticated configuration interaction (CI) method for the examined states indicates that the hyperspherical harmonic method can also be applied to the Pand the Dexcited states of the helium atom.

Key words: Hyperspherical coordinate, Helium atom, Excited state