Nuclear critical charge for two-electron ion in Lagrange mesh method

Modeling Magnetic Field in Heavy ion Collisions Using Two Different Nuclear Charge Density Distributions

By studying the properties of matter during heavy-ion collisions, a better understanding of the Quark-Gluon plasma is possible. One of the main areas of this study is the calculation of the magnetic field, particularly how the values of conductivity affects this field and how the field strength changes with proper time. In matching the theoretical calculations with results obtained in lab, two diffe...

Effect of nuclear motion on the critical nuclear charge for two- electron atoms

A variational method for calculating the critical nuclear charge ZC required for the binding of a nucleus to two electrons is reported. The method is very effective and performs well compared to the traditional variational principle for calculating energy. The critical nuclear charge, which corresponds to the minimum charge required for the atomic system to have at least one bound state, has be...

Lagrange Two-Dimensional Interpolation Method for Modeling Nanoparticle Formation During RESS Process

Calculation of the Electron Self Energy for Low Nuclear Charge

We present a nonperturbative numerical evaluation of the one-photon electron self energy for hydrogenlike ions with low nuclear charge numbers Z = 1 to 5. Our calculation for the 1S state has a numerical uncertainty of 0.8 Hz for hydrogen and 13 Hz for singly-ionized helium. Resummation and convergence acceleration techniques that reduce the computer time by about three orders of magnitude were...

Nuclear-Charge Screening in Positronium Formation from Helium Atoms

An analytical treatment of the electron screening effect within an active-electron model is given for positronium formation from helium atoms. A first-order distorted wave approximation with correct boundary conditions is applied to evaluate the transition amplitude. In the range of impact energy for which the introduced perturbative approach is valid, both the total and differential cross sect...