Semi-empirical model potential study of Rydberg transitions in gold one-electron spectrum

Abstract

Semi-empirical model potential calculations of oscillator strengths for Rydberg transitions in principal, sharp and diffuse series of gold one-electron spectrum are presented. Relativistic effects are fully included through solving Dirac equations and core–valence electron correlation is represented in core polarization picture by appropriate part in model potential. The dipole-moment operator of transition is modified in accordance. Systematic trends are investigated in oscillator strengths along the spectral series showing hydrogen-like behavior for large n∗ effective quantum number of upper states of transitions. The so-called Cooper minimum in oscillator strengths is observed for principal series transitions. The influence of core–valence correlation (core polarization) on oscillator strengths along the spectral series is studied in detail​ demonstrating its importance even for transitions to rather highly excited Rydberg states with n≈18. In addition, excitation energies for some levels which positions in the neutral gold spectrum is unknown so far, are also predicted.