GPU-accelerated Interval Arithmetic to solve the Apollonius Problem applied to a Stereo Drift Chamber
Year: 2024
Type: preprint
Abstract: 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.
Institutions: Centre National de la Recherche Scientifique, Université Paris Cité, Sorbonne Université, Laboratoire de Physique Nucléaire et de Hautes Énergies, Institut National de Physique Nucléaire et de Physique des Particules, Lyon 1 Université, Université de Lyon, Institut de Physique des 2 Infinis de Lyon, École Nationale Supérieure d'Ingénieurs de Caen, Laboratoire de Physique Corpusculaire de Caen
Language: English
Subfield: Nuclear and High Energy Physics
Field: Physics and Astronomy
Domain: Physical Sciences
Open Access status: green
Awards: G196419191, G6649312515
OpenAlex ID: W4390784429