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
Highlights
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
That allows to claim that the obtained energy values have 30-33 significant digits for S states Keywords: three-body systems, variational principle, hyperfine structure, muonic helium ions
Muonic helium ions 3He2+μ−e− and 4He2+μ−e− are simple three-body systems composed of the negative muon and positive nucleus of 3He or 4He and the electron
Summary
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 Keywords: three-body systems, variational principle, hyperfine structure, muonic helium ions
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