Methods for Optical Calibration of the BigBite Hadron Spectrometer
M. Mihovilovic, K. Allada, B.D. Anderson, J.R.M. Annand, T. Averett,, A. Camsonne, R.W. Chan, J.-P. Chen, K. Chirapatpimol, C.W. de Jager, S., Gilad, D.J. Hamilton, J.-O. Hansen, D.W. Higinbotham, J. Juang, X. Jiang, G., Jin, W. Korsch, J.J. LeRose, R.A. Lindgren, N. Liyanage

TL;DR
This paper presents a stable optical calibration method for the BigBite spectrometer using singular value decomposition, enabling precise reconstruction of particle positions and momenta with high resolution.
Contribution
It introduces a robust calibration technique applicable to similar spectrometers, improving accuracy in particle tracking and momentum measurement.
Findings
Vertex resolution of 1.2 cm for 0.55 GeV/c protons
Angular resolutions of 7 mrad (in-plane) and 16 mrad (out-of-plane)
Relative momentum resolution of 1.6%
Abstract
The techniques for optical calibration of Jefferson Lab's large-acceptance magnetic hadron spectrometer, BigBite, have been examined. The most consistent and stable results were obtained by using a method based on singular value decomposition. In spite of the complexity of the optics, the particles' positions and momenta at the target have been precisely reconstructed from the coordinates measured in the detectors by means of a single back-tracing matrix. The technique is applicable to any similar magnetic spectrometer and any particle type. For 0.55 GeV/c protons, we have established the vertex resolution of 1.2 cm, angular resolutions of 7 mrad and 16 mrad (in-plane and out-of-plane, respectively), and a relative momentum resolution of 1.6%.
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