Tamar AnalysisChapt

Introduction

THIS CHAPTER IS NOT READY< PLEASE READ OTHER THREE CHAPTERS.

This chapter will describe the techniques to calculate semi inclusive double spin asymmetries for the following reactions [math]e^-p \rightarrow e^- \pi^+ n[/math] and [math]e^-n \rightarrow e^- \pi^- p[/math] for NH3 and ND3 polarized targets respectively. The goal of this work is the extraction of the ratio of polarized to unpolarized quark distribution functions using double spin asymmetries.
There are couple of main steps in the data analysis, which will be discussed bellow: 1) the data selection, 2) background elimination, 3) the target and beam polarization, 4) the detector acceptance >???????

Radiative Corrections

Analysis chapter is not ready, Please start reading Experimental setup, theory and CEBAF. Those are the chapters that i finished, and would like them corrected. Ill rewrite the chapter below, it is not argent and include the diagrams.

In double spin asymmetry analysis the electron nucleon scattering process is given as an one photon exchange event, so called the Born approximation. In reality, there are multiple photon effects during the experiments. These high order processes, also called radiative effects, can be calculated and used to correct the cross section data.

The Born Approximation

There are two types of radiative corrections, internal and external. Internal radiative corrections describe the contributions which took place during the lepton-hadron interaction. The photon emitted by the incoming electron is reabsorbed by the same scattered electron. The same reaction can occur for the target nucleon.

Internal Radiation

On the other hand, the external radiative corrections account for the energy loss by photon emission from the electron. The same process can be observed for the target nucleon.

Externall Radiation

For the ~5.6 GeV incident electron beam data the radiative corrections are less than 5%<ref>http://www.jlab.org/Hall-B/secure/eg1/EG2000/fersch/QUALITY_CHECKS/file_quality/runinfo.txt</ref>. Due to negligible contributions from the radiative corrections they are not included in the double spin asymmetry analysis.

Notes

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