Hyperfine structure S state of muonic helium atom

Abstract

In this work the nonrelativistic ionization energies 3He2+µ −e − and 4He2+µ −e − of helium-muonic atoms are calculated for S states.The estimates are based on the variational principle of exponential expansion. Convergence of the numerical values of variational energies is studied by increasing a number of the basis functions N. That allows to claim that the obtained energy values have 30-33 significant digits for S states.