613 research outputs found
Nonrelativistic ionization energy for the helium ground state
The helium ground state nonrelativistic energy with 24 significant digits is
presented. The calculations are based on variational expansion with randomly
chosen exponents. This data can be used as a benchmark for other approaches for
many electron and/or three-body systems.Comment: 3 pages, 0 figure
Corrections to the Nonrelativistic Ground Energy of a Helium Atom
Considering the nuclear motion, the authors give out the nonrelativistic
ground energy of a helium atom by using a simple but effective variational wave
function with a flexible parameter . Based on this result, the relativistic
and radiative corrections to the nonrelativistic Hamiltonian are discussed. The
high precision value of the helium ground energy is evaluated to be -2.90338
a.u., and the relative error is 0.00034%.Comment: 8 pages, no figures, 2 table
Ionization Potential of the Helium Atom
Ground state ionization potential of the He^4 atom is evaluated to be 5 945
204 221 (42) MHz. Along with lower order contributions, this result includes
all effects of the relative orders alpha^4, alpha^3*m_e/m_alpha and
alpha^5*ln^2(alpha).Comment: 4 page
Vibrational spectroscopy of H2+: precise evaluation of the Zeeman effect
We present an accurate computation of the g-factors of the hyperfine states
of the hydrogen molecular ion H2+. The results are in good agreement with
previous experiments, and can be tested further by rf spectroscopy. Their
implication for high-precision two-photon vibrational spectroscopy of H2+ is
also discussed. It is found that the most intense hyperfine components of
two-photon lines benefit from a very small Zeeman splitting
Relativistic corrections of order m\alpha^6 to the two-center problem
Effective potentials of the relativistic m\alpha^6 order correction for the
ground state of the Coulomb two-center problem are calculated. They can be used
to evaluate the relativistic contribution of that order to the energies of
hydrogen molecular ions or metastable states of the antiprotonic helium atom,
where precision spectroscopic data are available. In our studies we use the
variational expansion based on randomly chosen exponents that permits to
achieve high numerical accuracy.Comment: 12 pages, 3 tables 2 figures; submitted to the Journal of Physics
Contribution of hadronic light-by-light scattering to the hyperfine structure of muonium
The contribution of hadronic scattering of light-by-light to the hyperfine
structure of muonium is calculated using experimental data on the transition
form factors of two photons into a hadron. The amplitudes of interaction
between a muon and an electron with horizontal and vertical exchange are
constructed. The contributions due to the exchange of pseudoscalar, axial
vector, scalar and tensor mesons are taken into account.Comment: 13 pages, 1 figur
Energy levels of mesonic helium in quantum electrodynamics
On the basis of variational method we study energy levels of pionic helium
and kaonic helium with an electron in ground state and
a meson in excited state with principal and orbital quantum numbers . Variational wave functions are taken in the Gaussian form. Matrix
elements of the basic Hamiltonian and corrections to vacuum polarization and
relativism are calculated analytically in a closed form. We calculate some
bound state energies and transition frequencies which can be studied in the
experiment.Comment: 12 pages, 6 figure
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