Measurement of the Timelike Electromagnetic Form Factors of the Neutron at the BESIII Experiment with the Process e+e− → nn

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The investigation of the fundamental properties of the nucleon is one of the most important topics in modern hadron physics. The precise knowledge of its internal structure in terms of quark and gluon degrees of freedom, accessible through the electromagnetic probe, is crucial for the understanding of the strong interaction. This structure can be studied through the measurement of the electromagnetic form factor (FF). Starting with the groundbreaking work of Hofstadter, many experiments successfully extended the picture of the spatial electromagnetic distribution densities of protons and neutrons in the spacelike region with a negative momentum transfer q2 < 0. In contrast, the experimental situation of the FF in the timelike region (q2 > 0) is less clear. In particular, the investigation on the timelike FF of the neutron has been done only by three experiments up to date. Moreover, limited statistics permitted to determine only the effective FF. While in the case of the proton, at least several experiments measured the magnetic FF and the electromagnetic FF ratio, the neutron FF remains mainly unknown. In this thesis, the first measurement of the magnetic FF |Gn M(q2)| and the electromagnetic FF ratio of the neutron |Gn E(q2)|/|Gn M(q2)|, determined at five center-of-mass energies from the final state angular distribution in the reaction e^+e^− → nn, is reported. The analyzed data set covers the center-of-mass energy range between 2.00 and 3.08 GeV with a total integrated luminosity of 651 pb^-1 and was collected at the BESIII experiment at the BEPCII collider in Beijing, China. The Born cross section and the effective FF are analyzed from 18 data sets, using Monte Carlo simulation with dedicated event generators for the determination of the selection efficiency. Corrections of the selection efficiency determined from the Monte Carlo simulation are obtained with data-driven methods. Radiative QED corrections are implemented. The results from this work are a significant addition to the database, extending the knowledge of the electromagnetic FF of the neutron in a wide momentum transfer region and therefore contribute to the understanding of the nucleon in the framework of strong interaction. They will serve as a new reference in every physics context where FFs are needed as input, for example helping to distinguish between a variety of phenomenological and theory-inspired parametrizations for the electromagnetic structure of the nucleon, or serving as input parameters for a new generation of Monte Carlo based event generators.

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