arXiv subjects

A. K. Bekbaev

Publications and source records attributed to A. K. Bekbaev.

5 recordsLinked to original sources

arXiv2025

Variational studies of ro-vibrational spectra of DT$^+$ and T$_2^+$ ions

In this work we study the last two hydrogen molecular ion isotopologues: DT$^+$ and T$_2^+$, for which high-precision calculations have not yet been made. We obtain the nonrelativistic solutions of the Schrödinger equation for the wide range of vibrational states up to the highest possible vibrational $1sσ_g$ state which are of spectroscopic precision. Transition amplitudes for electric dipole transitions, leading-order relativistic corrections and coefficients of the effective hyperfine structure Hamiltonians for both DT$^+$ and T$_2^+$ are also calculated.

physics.atom-ph↗

arXiv2024

Polarizability of the kaonic helium atom

The static dipole polarizability of metastable states in the kaonic helium atoms is studied. We use the complex coordinate rotation method to properly account for the resonant nature of the states. Our calculations show that some of the states are not stable with respect to collisional quenching in a dense helium target and should not be detected in the experiment.

physics.atom-ph↗

arXiv2023

Magnetic dipole transitions in the H$_2^+$ ion

The magnetic dipole transitions in the homonuclear molecular ion H$_2^+$ are obtained for a wide range of $v$ and $L$, vibrational and total orbital momentum quantum numbers, respectively. Calculations are performed in the nonrelativistic approximation. Spin consideration is also included.

physics.atom-ph↗

arXiv2018

Nonrelativistic energy levels of helium atom

The nonrelativistic ionization energy levels of a helium atom are calculated for $S$, $P$, $D$ and $F$ states. The calculations are based on the variational method of "exponential" expansion. The convergence of the calculated energy levels is studied as a function of the number of basis functions $N$. This allows us to claim that the obtained energy values (including the values for the states with a nonzero angular momentum) are accurate up to 28-35 significant digits. Calculations of the nonrelativistic ionization energy of the negative hydrogen ion H$^-$ are also presented.

physics.atom-ph↗

arXiv2018

Leading order relativistic corrections to the ro-vibrational spectrum of $\mbox{H}^+_2$ and $\mbox{HD}^+$ molecular ions

High-precision variational calculations of the operators for the relativistic corrections in the leading $mα^4$ order are presented. The ro-vibrational states in the range of the total orbital angular momentum $L\!=\!0\!-\!4$ and vibrational quantum number $v\!=\!0\!-\!10$ for the $\mbox{H}_2^+$ and $\mbox{HD}^+$ molecular ions are considered. We estimate that about ten significant digits are obtained. This high precision is required for making theoretical predictions for transition frequencies at the level of $10^{-12}$ relative uncertainty.

physics.atom-ph↗