We propose a new system of equations which identifies the helix common to all drift distance hits produced by a full stereo drift chamber detector when a charged particle passes through this detector. The equation system is obtained using the Apollonius' problem as guideline which gives it a very simple form and a clear physics interpretability as the case of full axial drift chamber detector. The proposed method is evaluated using drift distance hits constructed from Monte Carlo-generated helix trajectory tracks. The equation system is solved using a robust accelerated GPU brute-force algorithm based on interval arithmetic. All code is written using the Julia programming language.
@article{arxiv.2401.04576,
title = {GPU-accelerated Interval Arithmetic to solve the Apollonius Problem applied to a Stereo Drift Chamber},
author = {Wilfrid da Silva and Patrice Lebrun and Jean-Claude Angélique and Luigi Del Buono},
journal= {arXiv preprint arXiv:2401.04576},
year = {2024}
}