A Theoretical Study of Pure and Mixed Spin-Polarized Tritium and Helium Triatomic Systems Using Hyperspherical Coordinates

摘要

Pure and mixed spin-polarized tritium (T↑) and helium (He) triatomic systems are studied using hyperspherical coordinates.Aslowvariable discretization approach is adopted to solve the nuclear Schr?dinger equation, in which the Schr?dinger equation in hyperangular coordinates is solved using basis splines at a series of fixed FEM-DVR hyperradii. By using the best empirical interaction potentials, we study comparatively the bound states of (T↑)_3, ~4He(T↑)_2, ~4He_2T↑, ~4He_3 and ~4He3/2 He in the J~∏ = 0~+ symmetry. The bound state energy levels are calculated for all these molecular species except ~4He(T↑)_2, for which we have found no bound state. The calculated wave functions of these species are found all to exhibit a very large spatial extension, indicating the diffuse nature of these bound states. The molecular structure of these species will also be calculated and analyzed in detail.