Polarized Parton Distributions Measured at the HERMES Experiment

Abstract

The HERMES experiment at DESY, Germany was designed to carry out precision measurements of the proton spin structure using polarized deep-inelastic scattering. The experiment utilizes the ¾ Î electron or positron beam of the HERA accelerator which is longitudinally polarized at HERMES, in combination with a polarized internal gas target. For this work, data on longitudinally polarized hydrogen and deuterium targets were used to determine cross section asymmetries with respect to the alignment of the target and beam polarizations. Inclusive asymmetries on the proton and the deuteron, where only the scattered electron/positron is detected, were measured with high precision. In semi-inclusive deep-inelastic scattering, at least one final-state hadron is detected in coincidence. Semi-inclusive asymmetries of pions on the proton and pion and kaon asymmetries on the deuteron were measured for the first time by the HERMES collaboration. The measured asymmetries include detector effects and effects of higher-order processes in quantum electrodynamics.A new unfolding procedure that takes into account the correlations between kinematic bins was implemented to correct for these effects.The polarized parton densities of the up, down, and sea flavours were obtained from the unfolded inclusive and semi-inclusive asymmetries in a probabilistic analysis based on leading-order quantum chromodynamics. In the case of the up quark and the down quark, the polarized densities were determined to be positive and negative, respectively. The polarized densities of the sea flavours, decomposed for the first time into the densities of the anti-up, anti-down, and strange quarks, were found to be compatible with zero. Moments of the polarized parton densities were computed. TheBjørken sum rule was verified and the total spin carried by the quark spins was determined to bé ¿ ¼ ¦ ¼µ ±. This latter result is larger than earlier measurements but still smaller than ¼ ± predicted in relativistic models of the proton.iii iv ABSTRACT AcknowledgementsFirst of all I would like to thank my adviser, Dr. Michel Vetterli, for providing the opportunity to conduct research on the nucleon spin structure. His support towards the completion of this work was indispensable. I would also like to thank the members of the ¡Õ-group, notably Thore Lindemann and Marc Beckmann, whose collaboration was invaluable.My thanks go to Elke Aschenauer for her tremendous efforts in running the experiment and in contributing to the analysis. I am indebted to Naomi Makins for the numerous discussions we had.