A Precision Measurement of the Spin Structure of the Proton at SLAC

Abstract

a dissertation submitted to the department of physics and the committee on graduate studies of stanford university in partial fulfillment of the requirements for the degree of doctor of philosophy

Proton polarizability contribution to hydrogen hyperfine splitting

“…The proton spin structure functions can be measured in the inelastic scattering of polarized electrons on polarized protons. Recent improvements in polarized lepton beams and targets have made it possible to make increasingly accurate measurements of nucleon polarized structure functions g 1,2 in experiments at SLAC, CERN and DESY [12][13][14][15][16][17][18][19]. The spin dependent structure functions may be expressed in terms of virtual photon-absorption cross-sections [11]: (13) where…”

“…Our calculation of the contribution ∆E P HF S in the DIS region (W 2 ≥ 4GeV 2 ) is based on recent experimental data [12][13][14][15][16][17][18][19]. All of the data, including the SMC data at Q 2 ≤ 1GeV 2 , were fit to the parameterization:…”

“…The coefficients of the fits and different models for the form of the Q 2 dependence may be found in [12,19]. In Figures 6-7 the experimental data and parameterization in the form (20) for the ratio g 1 /F 1 are presented at two different points Q 2 .…”

The correction of hadronic nucleus polarizability to hyperfine structure of light muonic atoms

“…As was shown in previous paper [10] nucleon polarized structure functions can be expressed through polarized quark and gluon distributions which obey to the evolution equations [38,39]. Solving Q 2 evolution equations we can construct nucleon functions g 1 (ν, Q 2 ), g 2 (ν, Q 2 ) which agree well with experimental data and the following parameterization [15][16][17][18][19][20]40]:…”