Theoretical Calculations For Weakly Bound States Of The He-He-²⁵Mg

In recent years, theoreticians are growing interests in searching for the weakly bound ground states of simple molecules for two reasons. Firstly, physicists have an interest in finding the halo states or Efimov states in atomic or molecular few body systems. Second,4He is boson, there is also related to the creation of Bose-Einstein condensate in various aggregates.In the paper, we calculated the L=0ground and excited state energies for the He2Mg system using hyperspherical coordinates. Firstly, we calculate the vibrational energies of alkaline-earth-helium diatoms using potential models. Then, by employing the best empirical interaction between each pair of particles, we solved the Schrodinger equation for the He225Mg systems at a series of fixed hyper-radiu R using B-splines method. The lower bounds of the ground states binding energies of3He225Mg,3He4He25Mg and4He225Mg are-3.0842K,-4.7899K and-5.1033K; and the upper bounds of the binding energies are-1.21161K,-1.3876K and-0.6979K respectively. We not find the halo states or Efimov states for this complex. So far,we not have the date of He225Mg, It is a fantastic study.