Universality of the dynamic characteristic relationship of electron correlation in the two-photon double ionization process of a helium-like system

TL;DR

This study demonstrates that the product of characteristic time and Coulomb interaction energy remains constant across various parameters in two-photon double ionization of helium-like systems, indicating a universal dynamic relationship.

Contribution

It reveals the universal nature of the dynamic characteristic relationship in two-photon double ionization, regardless of system parameter variations.

Findings

The product $t_c ar{V}_{12}$ remains approximately 4.1 across different system parameters.

The dynamic characteristic relationship is demonstrated to be universal.

Results may aid in attosecond pulse measurement techniques.

Abstract

Universality of the dynamic characteristic relationship between the characteristic time $t_c$ and the two-electron Coulomb interaction energy $\overline{V}_{12}$ of the ground state in the two-photon double ionization process is investigated through changing the parameters of the two-electron atomic system and the corresponding laser conditions. The numerical results show that the product $t_{c}\overline{V}_{12}$ keeps constant around 4.1 in the cases of changing the nucleus charge, the electron charge, the electron mass, and changing simultaneously the nucleus charge and the electron charge. These results demonstrate that the dynamic characteristic relationship in the two-photon double ionization process is universal. This work sheds more light on the the dynamic characteristic relationship in ultrafast processes and may find its application in the measurement of attosecond pulses.