Levels Of Hydrogen-like Ions Research Articles

Theoretical investigation on Stark-induced transition probabilities of hydrogen-like ions

Based on the nondegenerate perturbation theory, the Stark-induced transitions are studied for hydrogen-like isoelectronic sequences (<i>Z</i> = 1–92). The Stark-induced mixing coefficients and transition probabilities between the 2s<sub>1/2</sub>-1s<sub>1/2</sub> levels of hydrogen-like ions are reported. The trend of Stark-induced transition probabilities varying with atomic number <i><i>Z</i></i> between 2s<sub>1/2</sub>-1s<sub>1/2</sub> levels of hydrogen-like ions and the relativistic effect on the Stark-induced mixing coefficients and transition probabilities are discussed. The scaling relations of the nonrelativistic and relativistic Stark-induced transition probabilities with atomic number <i>Z</i> are obtained. The results show that the Stark-induced transition probabilities of hydrogen-like ions decrease monotonically along the isoelectronic sequence with the increase of atomic number <i>Z</i>. In addition, the relativistic effect reduces the Stark-induced transition probabilities of hydrogen-like ions, for example, by about 55% at <i>Z</i> = 92.

Rydberg states of hydrogenlike ions in a braneworld model

Precise measurements of optical transition frequencies between Rydberg states of hydrogen-like ions could be used to obtain an improved value of the Rydberg constant, by avoiding the uncertainties about the proton radius. Motivated by this perspective, we investigate the influence of the gravitational interaction on the energy levels of Hydrogen-like ions in Rydberg states in a braneworld model. As it is known, in this scenario, the gravitational interaction is amplified in short distances. We show that, for Rydberg states, the main contribution for the gravitational potential energy does not come from the rest energy concentrated on the nucleus but from the energy of the electromagnetic field created by its electric charge. The reason is connected to the fact that, when the ion is in a Rydberg state with high angular momentum, the gravitational potential is not computable in zero-width brane approximation due to the gravitational influence of the electrovacuum in which the lepton is moving. Considering a thick brane scenario, we calculate the gravitational potential energy associated to the nucleus charge in terms of the confinement parameter of the electric field in the brane. We show that the gravitational effects on the energy levels of a Rydberg state can be amplified by hidden dimensions even when the compactification scale is shorter than the Bohr radius.

The Coulomb law and atomic levels in a superstrongB

The spectrum of atomic levels of hydrogen-like ions originating from the low- est Landau level in an external homogeneous superstrong magnetic field is obtained. The influence of the screening of the Coulomb potential on the values of critical nuclear charges is studied.

The Coulomb problem in superstrong B: Atomic levels and critical nuclei charges

The spectrum of atomic levels of hydrogen-like ions originating from the lowest Landau level in an external homogeneous superstrong magnetic field is obtained. The influence of the screening of the Coulomb potential on the values of critical nuclear charges is studied.

Semiclassical approximation of the Dirac equation in a central field

We develop a semiclassical approximation of the Dirac equation in a central field with a Coulomb asymptotic behavior. We obtain relativistic semiclassical scattering phases, energy levels of hydrogen-like ions, and a semiclassical expression for the multiplicative constant in the asymptotic expansion of the wave function of the valence electron in a relativistic multiply charged ion, which plays an important role in quantum defect theory.

COLRAD—A program to calculate population densities of the excited atomic levels of hydrogen-like ions in a plasma

COLRAD—A program to calculate population densities of the excited atomic levels of hydrogen-like ions in a plasma

The populations of the levels of hydrogen-like ions

The populations of the levels of hydrogen-like ions