# Modeling of dielectronic satellites to diagnose exotic states of matter created by XUV/X-ray free electron lasers, plasma ion electric microfield mixing dynamics rate (II): application to the 2l2l' configuration of helium-like aluminium

## TL;DR

This paper estimates the plasma ion electric microfield mixing dynamics rate using a quantum atomic density matrix formalism, demonstrating its significance in modeling high-density plasma regimes generated by XFELs, especially for helium-like aluminium.

## Contribution

It introduces a numerical estimation of the microfield mixing rate and compares it to traditional atomic rates, highlighting its importance at high densities in plasma diagnostics.

## Key findings

- The microfield mixing rate is comparable to or exceeds traditional rates at high densities.
- The rate influences the understanding of plasma heating mechanisms.
- Application to helium-like aluminium demonstrates relevance for high-density plasma modeling.

## Abstract

In the present paper we give numerical estimations of the plasma ion electric microfield mixing dynamics rate. This rate was deduced from a quantum atomic density matrix formalism and corresponds to the mixing dynamics effect of energy levels by the plasma ion electric microfield. The rate in question is to be added to the usual collisional-radiative model for the modeling of dielectronic satellites originating from multi-excited atomic configurations to diagnose high density plasma regimes generated by the interaction of X-ray free electron lasers (XFEL's) with solid density matter. The obtained numerical values of this rate are compared to usual relaxation atomic rates of the collisional-radiative model in the case of three atomic energy levels of the doubly excited 2l2l' configuration of helium-like aluminium (Z = 13): 2p^2 1D_2, 2s2p 1P_1 and 2p2 1S_0. The comparison is made for different values of the electronic density n_e (10^+20, 10^+22, 10^+23, 10^+24 cm^-3) and for the electronic temperature T_e = 500 eV. The numerical result shows that at high densities this rate is at the same order of magnitude as usual collisional-radiative rates and even exceed them in certain cases. This demonstrates the potential role of this rate for a better understanding of the heating mechanism underlying the evolution of a solid state matter to a plasma.