Theoretical Calculations For Weakly Bound States Of He-H-H Complex

In recent years, the weakly bound states of simple molecules have attracted many workers eyes in atomic and molecular physics or quantum chemistry. Which, because the4He atom complexs with Bose-Einstein statistics law, and it is related to Bose-Einstein condensation;also, He atom is easier to find halo states or Efimov states in a real atomic and molecular system, the He atomic three-body system is a valuable research topic.In this thesis,we calculated the binding energy of the HeH2system in the case of L=O.In order to solve the Schrodinger equation of the system, firstly we used the hyperspherical adiabatic approximation, then the best empirical interaction was employed, last we solved the equation of the HeH2systems at a series of fixed hyper-radii using B-splines. The upper bounds result of the ground states binding energies of4He-D-D,3He-D-D,4He-T-T,3He-T-T,4He-H-D,3He-H-D,4He-H-T and3He-H-T are-0.6443K,-0.3508K,-1.0267K,-0.6030K,-0.3551K,-0.1056K,-0.5963K,-0.2684K respectively; and the lower bounds result of the binding energies are-18.2390K,-14.4606K,-20.3649K,-18.0360K,-15.5160K,-14.0598K,-15.9405K,-14.5852K respectively. All the three-body systems, we did not find the presence of halo states or Efimov states.