The Spin Asymmetries of the Nucleon Experiment (SANE) used the Continuous Electron Beam Accelerator Facility at Jefferson Laboratory in Newport News, VA to investigate the spin structure of the proton. The experiment measured inclusive double polarization electron asymmetries using a polarized electron beam, scattered off a solid polarized ammonia target with target polarization aligned longitudinal and near transverse to the electron beam, allowing the extraction of the spin asymmetries A1 and A2, and spin structure functions g1 and g2. Polarized electrons of energies of 4.7 and 5.9 GeV were used. The scattered electrons were detected by a novel, non-magnetic array of detectors observing a four-momentum transfer range of 2.5 to 6.5 GeV*V. This document addresses the extraction of the spin asymmetries and spin structure functions, with a focus on spin structure function, g2 (and g1) at low Bjorken x. The spin structure functions were measured as a function of x and W in four Q square bins. A full understanding of the low x region is necessary to get clean results for SANE and extend our understanding of the kinematic region at low x.

We investigate various aspects of the proton structure in this thesis. The first addresses the distribution of the proton spin among its constituents, quarks and gluons. We derive the framework of distribution functions for these constituents and study the properties of the polarized distributions which describe the spin structure of the proton. A determination of the polarized distributions on the basis of present experimental data is presented and options for future measurements are critically evaluated. A second aspect under consideration is the phenomenology of hard diffractive electron-proton scattering. We show how diffractive interaction and hard scattering can be disentangled and suggest experimental tests for this interpretation. Finally, we illustrate how the knowledge on the proton structure can be used for the computation of observables in proton-antiproton collisions, confirming or extending our knowledge of the physics of elementary particles.

CoordenaÃÃo de AperfeiÃoamento de Pessoal de NÃvel Superior / Este trabalho tem como objetivo apresentar algumas estimativas para os autovalores do operador de Dirac em variedades Riemannianas Spin compactas com curvatura escalar positiva. Para isto, utilizaremos algumas ferramentas clÃssicas de geometria Riemanniana e algumas de suas propriedades tais como Ãlgebra de Clifford, grupos spin, conexÃes,derivada covariante e operador de Dirac. / The aim of this work is to present some estimates for the eigenvalues of the Dirac operator on compact Riemannian Spin manifolds with positive scalar curvature. For this, we use some tools of classical Riemannian geometry and some of its properties as Clifford algebra, spin groups, connections, covariant derivative and Dirac operator.

One of the important issues of Quantum Chromodynamics (QCD) - the fundamental theory of strong interaction, is the understanding of the role of the quark-gluon interactions in the processes involving nuclear targets. One direction in such studies is to explore the onset of the quark gluon degrees of freedom in nuclear dynamics. The other direction is using the nuclear targets as a “micro-labs” in studies of the QCD processes involving protons and neutrons bound in the nucleus. In the proposed research, we work in both directions considering high energy photo- and electro-production reactions involving deuteron and 3 He nuclei. In the first half of the research, we study the high energy break-up of the 3 He nucleus, caused by a incoming photon, into a proton-deuteron pair at the large center of mass scattering angle. The main motivation of the research is the theoretical interpretation of recent experimental data which revealed the unprecedentedly large exponent s −17 , for the energy dependence of the differential cross section. In the present research, we extend the theoretical formalism of the hard QCD rescattering model to calculate energy and angular dependences of the absolute cross section of the γ 3 He → pd reaction in high momentum transfer limit. The second half of the research explores the deep-inelastic scattering of a polarized electron off the polarized deuteron and 3 He nuclei, to explore the quark-gluon structure of polarized neutron. The main reason of using deuteron is that it is the most simple and best understood nucleus. While the reason of using polarized 3 He as an effective polarized neutron target is that because of the Pauli-principle, the two protons in the target are in the opposite spin states and thus the neutron has all the polarization of the 3 He nucleus. However this approximation is exact only for the S-state and becomes less accurate with the increase of the internal momentum of the bound nucleons in the nucleus. There are several planned experiments which will be performed during next few years at the kinematics in which the internal momenta of the probed neutron cannot be neglected. Therefore, for the reliable interpretation of the data, all the nuclear effects, especially the effects related to the relativistic treatment of high momentum component of the nuclear wave function, should be taken into account. In this work, we developed a comprehensive theoretical framework for calculation of the all relevant nuclear effects that will allow the accurate extraction of the neutron data from deepinelastic scattering involving deuteron and 3 He targets.

Understanding the spin structure of the nucleon can be considered as one of the fundamental goals in nuclear physics. Following the introduction of the quark model in 1964, the spin of the proton was naively explained by the alignment of spins of the valence quarks. However, in our current understanding, the valence quarks, sea quarks, gluons, and their possible orbital angular momentum are all expected to contribute to the overall spin of the proton. Despite this significant progress, our understanding of the individual spin contributions of quarks and antiquarks to the proton is not yet complete. Measurements of W± single spin asymmetries in longitudinally polarized proton-proton collisions at RHIC provides unique and clean access to the individual helicity distributions of light quarks and antiquarks of the proton. W± boson are produced through the annihilation of up + anti-down (anti-up + down) quarks and can be detected through their leptonic decays to electrons and anti-electron neutrinos (positrons and electron neutrinos). Due to maximal violation of parity during the production, W bosons couple to left-handed quarks and right-handed anti-quarks and hence offer direct probes of their respective helicity distributions in the nucleon. The STAR experiment at RHIC is well equipped to measure W decay electrons and positrons in longitudinally polarized p+p collisions, where only the charged lepton is observed in the final state with a large missing transverse energy opposite in azimuth due to the undetected neutrino. In this dissertation, the details of the analysis and the results of the longitudinal single spin asymmetry, AL, for W boson production at RHIC are presented. The total integrated luminosity of the data analyzed is 246 pb-1 with an average beam polarization of ~54%. The data are collected during 2013 in longitudinally polarized proton-proton collisions at √S =510 GeV by the STAR experiment at RHIC. The analysis includes the procedure, the results and the evaluation of the systematic uncertainty of the calibration of the STAR Barrel Electromagnetic Calorimeter which was performed coincident with the primary W AL analysis. The W AL analysis is discussed in terms of data QA, the reconstruction of W bosons via decayed electrons and positrons, and the estimation of the electroweak and QCD type background contributions. The reconstruction of W decay events includes the use of the Time Projection Chamber for the tracking purposes and the Barrel Electromagnetic Calorimeter for the identification and isolation of electron and poistron candidates by measuring their transverse energies in the calorimeter towers. Finally the results of AL for W+ (W-) are reported as a function of decay positron (electron) pseudo-rapidity, η, between -1 and +1. The theoretical predictions for the spin asymmetries calculated using recent polarized and unpolarized parton distribution functions, are compared with the measured values. / Physics

The Spin Asymmetries of the Nucleon Experiment (SANE) measured the proton spin structure function g2 in a range of Bjorken x, 0.3 < x < 0.8, where extraction of the twist-3 matrix element dp2 (an integral of g2 weighted by x2) is most sensitive. The data was taken from Q2 equal to 2.5 GeV 2 up to 6.5 GeV2. In this polarized electron scattering off a polarized hydrogen target experiment, two double spin asymmetries, Ak and A⊥ were measured using the BETA (Big Electron Telescope Array) Detector. BETA consisted of a scintillator hodoscope, gas ˇCerenkov counter, lucite hodoscope and a large lead glass electromagnetic calorimeter. With a unique open geometry, a threshold gas ˇCerenkov detector allowed BETA to cleanly identify electrons for this inclusive experiment. A measurement of dp2 is compared to lattice QCD calculations. / Physics

Title: Low temperature polarized target for spin structure studies of nucleons at COMPASS Author: Bc. Michael Pešek Department: Department of low temperature physics Supervisor of the master thesis: prof. Ing. Miroslav Finger, DrSc. Abstract: In presented thesis we describe concept of Deep Inelastic Scattering of leptons on nucleons in context of nucleon spin structure studies. Both polarized and unpolarized cases are discussed and concept of Transverse Momentum Dependent Parton Distribution Functions (TMD PDF) is introduced. The possibility of TMDs measurement using Semi-inclusive DIS (SIDIS) is described along with related results from COMPASS experiment. The future Drell-Yan programme at COMPASS is briefly mentioned and its importance is presented on the universality test i.e. change of sign of T-odd TMDs when measured in Drell-Yan and SIDIS. The importance of Polarized Target (PT) for spin structure studies is highlighted and principles of Dynamic Nuclear Polarization (DNP) are given using both Solid effect and spin temperature concept. COMPASS experiment is described in many details with accent given to PT. Finally the thermal equilibrium (TE) calibration procedure is described and carried out for 2010 and 2011 physics runs at COMPASS. The average polarization measurement results from 2010 and 2011 are...

In this work we present the basic theoretical concepts of the description of the nucleon spin structure. The theoretical background of two processes of interest - Semi-inclusive DIS and Drell-Yan - in the terms of Transverse Momentum De- pendent Parton distribution Functions is presented. The COMPASS experiment and particularly its unique polarised target are described in detail. Several target related measurements are presented. The express analysis and detector efficien- cies analysis are presented as examples of important hardware related analysis. Finally two measurements of Transverse Spin Asymmetries are presented. The first measurement is the measurement of the Transverse Spin Asymmetries in J/ψ production in the Semi-inclusive DIS on polarised protons. The second mea- surement is the measurement of Transverse Spin Asymmetries in J/ψ in the π− p polarised Drell-Yan data. 1

The quest to understand how the nucleon spin is decomposed into its constituent quark and gluon spin and orbital angular momentum (OAM) components has been at the forefront of nuclear physics for decades. Due to the non-perturbative nature of Quantum Chromodynamics (QCD) - the theory describing how quarks and gluons bind together to form protons and neutrons - making absolute predictions of nucleon spin structure is generally difficult, especially as a function of its quark and gluon longitudinal momentum fraction x. Measurements involving nucleon spin structure serve as a sensitive test for QCD, including ab-initio lattice QCD calculations due to the advent of the quasi-PDF formalism, and various predictions that diverge at large-x. The neutron spin asymmetry A1n at high-x is a key observable for probing nucleon spin structure. In the valence domain (x > 0.5), sea effects are expected to be negligible, and so the total nucleon spin is considered to be carried by the valence quarks. The valence region can therefore enable us to study the role of quark OAM and other non-perturbative effects of the strong force. A1^n was measured in the deep inelastic scattering region of 0.40 < x < 0.75 and 6 < Q^2 < 10 GeV^2 in Hall C at Jefferson Lab using a 10.4 GeV longitudinally polarized electron beam, upgraded polarized He-3 target, and the High Momentum Spectrometer (HMS) and Super High Momentum Spectrometer (SHMS). E12-06-110 provides the first precision data in the valence quark region above x = 0.60, and its preliminary results proved consistent with earlier data disqualifying a pQCD model that excluded quark OAM. Combined with previous world proton data, the ratio of the polarized-to-unpolarized up quark momentum distribution (∆u + ∆anti-u)/(u + anti-u) remained positive at large-x, and the down quark (∆d + ∆anti-d)/(d + anti-d) remained negative. / Physics

The Standard Model of Elementary Particle Physics (SM) is the present theoryfor the elementary particles and their interactions and is a well-established theorywithin the physics community. The SM is a combination of Quantum Chromodynamics(QCD) and the Glashow{Weinberg{Salam (GWS) electroweak model. QCDis a theory for the strong force, whereas the GWS electroweak model is a theoryfor the weak and electromagnetic forces. This means that the SM describes allfundamental forces in Nature, except for the gravitational force. However, the SMis not a nal theory and some of its problems will be discussed in this thesis.In the rst part of this thesis, several properties of baryons are studied suchas spin structure, spin polarizations, magnetic moments, weak form factors, andnucleon quark sea isospin asymmetries, using the chiral quark model (QM). TheQM is an eective chiral eld theory developed to describe low energy phenomena of baryons, since perturbative QCD is not applicable at low energies. The resultsof the QM are in good agreement with experimental data.The second part of the thesis is devoted to the concept of quantum mechanicalneutrino oscillations. Neutrino oscillations can, however, not occur within the GWSelectroweak model. Thus, this model has to be extended in some way. All studiesincluding neutrino oscillation are done within three avor neutrino oscillationmodels. Both vacuum and matter neutrino oscillations are considered. Especially,global ts to all data of candidates for neutrino oscillations are presented and alsoan analytical formalism for matter enhanced three avor neutrino oscillations usingtime evolution operators is derived. Furthermore, investigations of matter eectswhen neutrinos traverse the Earth are included.The thesis begins with an introductory review of the QM and neutrino oscillationsand ends with the research results, which are given in the nine accompanyingscientic articles. / QC 20100616