Symmetric And Non-Symmetric Muonic Helium Atoms Studies

The ground state hyperfine structure and other properties are calculated for muonic helium atoms (3He+2μ-e- or 4He+2μ-e-) with the use of some local properties of the wave functions in the domains where two particles are close to each other or far away. Simple wave functions incorporating these properties with one variational parameter is developed. The calculated values for hyperfine structure, energy and average interparticle distances in ground state are compared with the correlation function hyper-spherical harmonic method and multibox variational approach. The obtained results are very close to the values calculated by mentioned methods, giving strong indications that the proposed wave functions provide relatively accurate values.