High Precision Momentum Calibration of the Magnetic Spectrometers at MAMI for Hypernuclear Binding Energy Determination

TL;DR

This paper introduces a novel absolute momentum calibration method for magnetic spectrometers using time-of-flight differences of particle pairs, achieving high accuracy crucial for hypernuclear mass measurements.

Contribution

A new calibration technique based on TOF differences of particle pairs, applicable even without known flight paths, demonstrated through Monte Carlo simulations.

Findings

Calibration accuracy of δp/p ≤ 10^{-4} achieved

Method applicable with unknown flight paths using three-particle TOF differences

Enables high-precision hypernuclear mass determination

Abstract

We propose a new method for absolute momentum calibration of magnetic spectrometers used in nuclear physics, using the time-of-flight (TOF), differences of pairs of particles with different masses. In cases where the flight path is not known, a calibration can be determined by using the TOF differences of two pair combinations of three particles. A Cherenkov detector, read out by a radio frequency photomultiplier tube, is considered as the high-resolution and highly stable TOF detector. By means of Monte Carlo simulations it is demonstrated that the magnetic spectrometers at the MAMI electron-scattering facility can be calibrated absolutely with an accuracy $\delta p/p\leq 10^{-4}$, which will be crucial for high precision determination of hypernuclear masses.