Hyper ne structure S state ofmuonic helium atom

Abstract

In this work the nonrelativistic ionization energies3He2+µ-e-and4He2+µ-e-of helium-muonicatoms are calculated for S states.The estimates are based on the variational principle of exponentialexpansion. Convergence of the numerical values of variational energies is studied by increasing anumber of the basis functions N. That allows to claim that the obtained energy values have 30-33signi cant digits for S states

Keywords

• three-body systems
• variational principle
• hyper ne structure
• muonic helium ions