Proton Bunch Self-Modulation in Plasma with Density Gradient
F. Braunm\"uller, T. Nechaeva, AWAKE Collboration

TL;DR
This study experimentally investigates how linear plasma density gradients affect the self-modulation of high-energy proton bunches, revealing that gradients influence micro-bunch formation, charge distribution, and modulation frequency, consistent with theoretical predictions.
Contribution
It provides new experimental insights into how plasma density gradients modify proton bunch self-modulation, confirming theoretical models with real-world data.
Findings
Positive gradients increase the number of micro-bunches
Negative gradients decrease the micro-bunch count
Density gradients alter the modulation frequency and introduce multiple frequencies
Abstract
We study experimentally the effect of linear plasma density gradients on the self-modulation of a 400\,GeV proton bunch. Results show that a positive/negative gradient in/decreases the number of micro-bunches and the relative charge per micro-bunch observed after 10\,m of plasma. The measured modulation frequency also in/decreases. With the largest positive gradient we observe two frequencies in the modulation power spectrum. Results are consistent with changes in wakefields' phase velocity due to plasma density gradient adding to the slow wakefields' phase velocity during self-modulation growth predicted by linear theory.
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