Calculation of pHeμ and dHeμ energy levels using a numerical - analytical method

In the present paper, the three body dHeμ and pHeμ systems have been considered using a trial wave function in the variational method. The govern interaction for these ions are coulomb interaction and considered in the hyper sphere coordinate system. In this method, firstly, the wave function has been separated into hyper-angle and hyper-radius and then the schrodinger equation has been solved. The energy eigen values have been calculated for the ions and finally the present results have been compared with available data. Using the given wave function and the energy we can obtain other structure parameter has been obtained. The results energy of this works for pHeμ and dHeμ molecules are -73.021 and -76.728 respectively. Relative error percent for this work compared with other works are less than %1.135 and %1 for pHeμ and dHeμ molecules respectively