Diffusion measurement from observed transverse beam echoes

TL;DR

This paper demonstrates that beam echoes can be used to rapidly measure transverse diffusion in hadron synchrotrons, by applying an updated theoretical model to RHIC data and identifying a diffusion model consistent with observations.

Contribution

The study introduces a new diffusion measurement method using beam echoes and validates a specific diffusion model that relates to bunch charge.

Findings

Echo-based diffusion measurements are faster than current methods.

Only one diffusion model aligns with observed echo amplitudes and widths.

Diffusion coefficients can be parameterized as functions of bunch charge.

Abstract

We study the measurement of transverse diffusion through beam echoes. We revisit earlier observations of echoes in RHIC and apply an updated theoretical model to these measurements. We consider three possible models for the diffusion coefficient and show that only one is consistent with measured echo amplitudes and pulse widths. This model allows us to parameterize the diffusion coefficients as functions of bunch charge. We demonstrate that echoes can be used to measure diffusion much quicker than present methods and could be useful to a variety of hadron synchrotrons.