Simple model for sequential multiphoton ionization by ultra-intense x-rays
Xiang Li, Rebecca Boll, Daniel Rolles, and Artem Rudenko

TL;DR
This paper introduces a simple model for sequential multiphoton ionization by ultra-intense x-rays, accurately predicting ion yields and their dependence on pulse energy and duration, aligning well with experimental observations.
Contribution
The paper presents a straightforward model that quantitatively reproduces experimental ionization data and elucidates the relationship between ionization timing and pulse parameters.
Findings
Ion yield scales with pulse energy following a power law.
Ionization time intervals are proportional to pulse duration.
Ion kinetic energy is independent of pulse energy.
Abstract
A simple model for sequential multiphoton ionization by ultra-intense x-rays is presented. The derived scaling of the ion yield with pulse energy quantitatively reproduces the experimental data, which shows that the ion yield increases according to the "power law" behavior typical of multiphoton ionization, followed by saturation at high pulse energies. The calculated average time interval between ionizations for producing ions at a certain charge state is found to be proportional to the pulse duration and independent of all other x-ray pulse parameters. This agrees with previous studies where the kinetic energy of fragment ions with a given charge state produced by intense x-ray ionization of molecules was found to be independent of the pulse energy, but to increase with smaller pulse duration due to the smaller time interval between ionizations.
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