References - Bogoliubov Laboratory of Theoretical Physics - JINR

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espectively. The open symbols represent the data obtained at RIKEN, Saclay and ANL. Nuclotron data obtained at the energies 880 and 2000 MeV are shown by the solid symbols. Both vector Ay and tensor Ayy analyzing powers change the sign at pT ∼600-700 MeV/c. The additional measurement are necessary to understand such behavior. The Ay is consistent with zero at the angle of 60 ◦ in c.m.s, while it is about -0.2 at large angles at the energy of 880 MeV. The Ayy is sizeable only at the angles 60 ◦ and 70 ◦ at this energy. The absolute values of the vector Ay and tensor Ayy analyzing powers at 2000 MeV are sufficiently large to provide the efficient polarimetry of the deuteron beam. The obtained results indicate the possibility of the efficient deuteron beam polarimetry using the d − p elastic scattering at large angles in c.m.s. in the energy region from 880 to 2000 MeV. However, the measurements with larger statistics are needed. On the other hand, theoretical calculations[7]-[9] predict the large values of Ay , Ayy and Axx at the angles θc.m. ≤ 60 ◦ at the energy of 880 MeV. It is very desirable to conduct the analyzing powers measurements at these angles. Acknowledgments The work has been supported in part by the Russian Foundation for Basis Research (grant No. 07-02-00102a ), by the Grant Agency for Science at the Ministry of Education of the Slovak Republic (grant No. 1/4010/07), by a Special program of the Ministry of Education and Science of the Russian Federation(grant RNP2.1.1.2512). References [1] V.G.Ableev, et al., Nucl.Instr.Meth. A306, (1991) 73 [2] K.Suda, et al., Nucl.Instr.Meth. in Phys.Res. A572, (2007) 745 [3] N.Sakamoto, et al., Phys.Lett. B367, (1996) 60 [4] K.Sekiguchi, et al., Phys.Rev. C65, (2002) 034003 [5] K.Sekiguchi, et al., Phys.Rev. C70, (2004) 014001 [6] V.P.Ladygin, et al., Proc of the 11-th Intern. Workshop on Polarized Sources and Targets, 14-17 November, 2005 Tokyo, Japan; Eds. T.Uesaka, H.Sakai, A.Yoshimi, K.Asahi, World Scientific Publishing Co.Pte.Ltd., Singapore, (2007) 117 [7] H.Witala, private communications [8] N.B.Ladygina, Phys. Atom. Nucl. 71:2039-2051, (2008) [9] M.A.Shikhalev, Phys. Atom. Nucl. 72:588-595, (2009) 414
SPIN-MANIPULATING POLARIZED DEUTERONS AND PROTONS M.A. Leonova † for SPIN@COSY Collaboration Spin Physics Center, University of Michigan, Ann Arbor, MI 48109-1040, USA † E-mail: leonova@umich.edu Abstract We made the first systematic study of the spin resonance strengths induced by rf dipoles and solenoids using 2.1 GeV/c polarized protons and 1.85 GeV/c polarized deuterons stored in COSY. We found huge disagreements between the strengths measured in Froissart-Stora sweeps and the theoretical values calculated using the well-known formulae. These data resulted in correction of these formulae. We also tested Chao’s matrix formalism for describing the spin dynamics near and inside a spin resonance, which allows analytic calculations of the beam polarization’s behavior. Our measurements agreed precisely with the Chao formalism’s predicted oscillations. We also tested Kondratenko’s proposal to overcome depolarizing resonances by ramping through them with a crossing pattern that forces the depolarizing contributions to cancel themselves. Our tests with an rf bunched deuteron beam gave an ∼ 20-fold reduction in the depolarization. We recently used an rf solenoid to study rf spin resonances with both unbunched and bunched polarized beams of both protons and deuterons. We found narrowing of the bunched deuteron resonance, indicating that the beam’s polarization behaved as if there was no momentum spread. However, we found widening of the proton resonance due to bunching. Polarized scattering experiments require frequent spin-direction reversals to reduce systematic errors; one must overcome many spin resonances to maintain the polarization. In flat circular rings, each beam particle’s spin precesses around the vertical fields of the ring’s bending magnets. The spin tune νs (the number of spin precessions during one turn around the ring) is given by νs = Gγ, where G is the particle’s gyromagnetic anomaly and γ is its Lorentz energy factor. The vertical polarization can be perturbed by any horizontal magnetic field. RF fields can induce an rf spin resonance when fr = fc(k ± νs), where fr is the resonance frequency, fc is the circulation frequency and k is an integer. Ramping an rf magnet’s frequency through fr can flip each particle’s spin. The Froissart-Stora (FS) equation [1] relates the beam’s final polarization after crossing the resonance Pf, to its initial polarization Pi Pf = Pi � 2exp � −(π εFS fc) 2 � Δf/Δt � − 1 ; (1) εFS is the spin resonance strength, Δf and Δt are the rf frequency’s ramp range and ramp time. For a flat ring, with a short rf magnet causing the only spin perturbation, εBdl due to rf solenoid’s or an rf dipole’s B-field was thought to be given by [2] RF solenoid (longitudinal B): εBdl = 1 π2 √ 2 415 e(1 + G) � Brmsdl, (2) p
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XIII Advanced Research Workshop on
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ã�� [539.12.01 + 539.12 ... 14
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Analytic perturbation theory and pr
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Measurements of GEp/GMp to high Q 2
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WELCOME ADDRESS Alexei Sissakian Di
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he joined the group of prof. Przemy
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proton. Dividing these 90 ◦ cm p-
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p-p scattering angle fixed at exact
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tuning for each ring. The Workshop
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was only about 10 5 per second, but
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[10] E.F. Parker et al., Phys. Rev.
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MICROSCOPIC STERN-GERLACH EFFECT AN
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DeGrand-Miettinen model predicted P
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TOWARDS STUDY OF LIGHT SCALAR MESON
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104xdBR(φ--> π η 0 -1 γ )/dm, G
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RECURSIVE FRAGMENTATION MODEL WITH
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Figure 2: String decaying into pseu
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pT -distributions in the quark frag
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4 Inclusion of spin-1 mesons For a
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CONSTITUENT QUARK REST ENERGY AND W
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〈r 2 ch 〉≈1fm2 . Now with Eqs
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TOWARDS A MODEL INDEPENDENT DETERMI
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Common for the difference cross sec
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TRANSVERSITY GPDs FROM γN → πρ
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The scattering amplitude of the pro
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INFRARED PROPERTIES OF THE SPIN STR
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5 Acknowledgement B.I. Ermolaev is
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We shall call this model the “sec
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y f ν V = f l V = f u V = f d gz V
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2. We remind, that the celebrated G
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of the resonance A, θV � 39 o .
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• Right-handed EW currents. The c
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pesum- (p Entries 0 + pe)-(p-pe) Me
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CROSS SECTIONS AND SPIN ASYMMETRIES
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R(ρ) 5 4 3 2 1 0 2 3 4 5 6 7 8 9 1
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TWO-PHOTON EXCHANGE IN ELASTIC ELEC
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and depend on three parameters : fN
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O(αs) SPIN EFFECTS IN e + e −
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3 Polarization results for mq → 0
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Since one has (↑↓) pc Born =(
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Figure 1: A typical lowest order Fe
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sin φ S (π + ) A UT 1.0 0.8 0.6 0
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form the agreement with these data
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in settling this dynamical issue. G
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SPIN CORRELATIONS OF THE ELECTRON A
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the two-photon system equaling 1).
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ANOTHER NEW TRACE FORMULA FOR THE C
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Compare the gain of time and effort
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where the triplet and octet axial c
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[2] Y. Prok et al. [CLAS Collaborat
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Melosh rotations which boost the re
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ky �GeV� 0.4 0.2 0.0 �0.2 �
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[2] B. Pasquini, and S. Boffi, Phys
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The appearance of both |+〉 and |
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2.2 Intrinsic Transverse Motion Qua
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are still complex: for a given corr
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This last is required to complete t
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[16] P.G. Ratcliffe and O.V. Teryae
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Figure 1: a)[left] μpG p E /Gp M (
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4 Conclusion We introduced a simple
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√ δΔq8 x for Δq8 and γΔGx fo
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understanding of polarized light qu
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They are inverse powers of Q 2 kine
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accounts approximately for the TM a
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POTENTIAL FOR A NEW MUON g-2 EXPERI
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When the momentum increases (p >p0)
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EVOLUTION EQUATIONS FOR TRUNCATED M
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4 Perspectives Evolution equations
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NEW DEVELOPMENTS IN THE QUANTUM STA
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statistical approach compared to th
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POLARIZED HADRON STRUCTURE IN THE V
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g 3 A =Δuv(Q 2 ) − Δdv(Q 2 ), g
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AXIAL ANOMALIES, NUCLEON SPIN STRUC
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3. Vector current of strange quarks
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ORBITAL MOMENTUM EFFECTS DUE TO A L
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The elastic scattering S-matrix in
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IDENTIFICATION OF EXTRA NEUTRAL GAU
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for final l + l − events (l = μ,
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QUARK INTRINSIC MOTION AND THE LINK
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where wP = − m 2M 2 −p1 cos ω
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where g q 2x − ξ 1(x, pT )= πM2
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EXPERIMENTAL RESULTS
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01 00 11 01 01 01 00 11 01 01 01 00
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where C1, C2 and A1 - signals from
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Figure 1: Layout of experiment targ
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According to requirements of the de
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Electron energy is measured at ATLA
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Fig. 2 shows the results of the lon
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e γ* e’ x+ ξ x− ξ A A’ e e
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cos 0φ C A φ cos C A cos 2φ C A
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5 Summary HERMES has measured signi
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(1.205 ± 0.0012) GeV/c, 10 10 p/s,
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was done in the interval ”−t”
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If we admit a non-zero quark transv
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which is trivial in collinear LO ap
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In figure 3 the expected errors on
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[12] A. V. Efremov and O. V. Teryae
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Figure 1: The COMPASS spectrometer.
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Comparing this formula to the inclu
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Figure 5: Comparison of COMPASS inc
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[9] B. Adeva et al. (SMC Coll.), Ph
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q T sin( φ-φ ) M AUT 0.14 0.12 0.
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proton beam is planned. References
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Run Year √ s (GeV) Polarization R
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ackground fraction, and asymmetry i
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At √ s = 200 GeV, ALL(pp → π
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[6] D. de Florian, W. Vogelsang, an
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higher energies, where the cross se
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Figure 3: The experimental results
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kinematic range to low values of Bj
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3 Semi-Inclusive DIS Collins and Si
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Unpolarized target asymmetries. The
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4 Summary Since the end of data-tak
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polarization as well as a construct
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Finally the COMPASS reconstruction
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tained in the NLO QCD approximation
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with only modern NN potential are r
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(a) (b) Figure 3: (a) T20 data take
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of electroproduction from polarized
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As is seen in Fig. 1 values of the
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SEMI-INCLUSIVE DIS AND TRANSVERSE M
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The yellow band in Fig. 1 is the re
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At leading twist, a third asymmetry
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THE COMPLETION OF SINGLE-SPIN ASYMM
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A N , % 30 20 10 0 0 0.2 0.4 0.6 0.
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Unexpectedly large single spin asym
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THE GENERALIZED PARTON DISTRIBUTION
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, E) H ~ (H, I Im C 5 4 3 2 1 Q = 1
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Reducing to a common denominator (
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LAMBDA PHYSICS AT HERMES S. Belosto
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analysis was carried out reconstruc
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SPIN PHYSICS AT NICA A. Nagaytsev J
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original software packages (MC simu
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MEASUREMENTS OF TRANSVERSE SPIN EFF
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to “near-side” and “away-side
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THE FIRST STAGE OF POLARIZATION PRO
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In paper [12] the study was made of
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emphasis to increase the statistics
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Table 2: The parameters of the main
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POLARIZATION MEASUREMENTS IN PHOTOP
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With a polarized electron beam inci
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Figure 3: Preliminary helicity asym
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INVESTIGATION OF DP-ELASTIC SCATTER
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framework with the use of deuteron
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SPIN PHYSICS WITH CLAS Y. Prok 12,
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1.3 Flavor Decomposition of the Hel
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Γ p 1 0.15 0.125 0.1 0.075 0.05 0.
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The upcoming energy upgrade of Jeff
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y the nearly 1000 combined citation
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� R = −Pt/Pl τ(1 + ε)/2ε; he
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4 Results of GEp-III Experiment In
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6 Theoretical Developments The earl
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lz = 0 (along the direction of the
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models have recently been challenge
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[32] Chung P. L. and F. Coester, Ph
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48 ± 3% for two beams. The proton
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is constant with cos θ∗ , as exp
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In summary, we made measurements on
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angle between the direction of the
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The sensitivity of the data to the
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COMPASS could be converted into a f
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3.1.2 Beam charge and spin asymmetr
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contributions enter only beyond lea
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References [1] D. Mueller et al, Fo
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l’ l p q p h H (z) 1 h (x) 1 l l
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3. Data selection. The data selecti
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φ sin3 a 0.06 0.04 0.02 0 -0.02 -0
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TRANSVERSE SPIN AND MOMENTUM EFFECT
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model. Both the cos φh and the cos
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D cos φ A 0 -0.1 -0.2 -0.3 + h -2
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4.3 The Sivers asymmetry According
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[3] A. Airapetian et al. [HERMES co
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2. Delta-Sigma Experimental Set-up.
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6. Estimate of the count rate in tr
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2 Analysis Formalism Spin-dependent
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The MC production comprises three s
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6 High pT hadron pair analysis for
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[2] V. Y. Alexakhin et al. [COMPASS
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2 Towards polarized Antiprotons For
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4 Spin-Filtering Experiments at COS
Page 366 and 367: to test the theoretical models of t
Page 368 and 369: C1 C2 π CH1,2 CH3,4 CH5,6 111 000
Page 370 and 371: not even resemble the data behavior
Page 372 and 373: to the slope of the Rosenbluth plot
Page 374 and 375: The differential cross section of t
Page 376 and 377: with zero for all mass ranges, with
Page 378 and 379: more precise and dedicated measurem
Page 380 and 381: oth types of experiment results are
Page 382 and 383: is recorded, a good particle identi
Page 384 and 385: error of the extracted asymmetries
Page 386 and 387: 2.6 Summary and Outlook The first d
Page 388 and 389: 386
Page 391 and 392: PROTON BEAM POLARIZATION MEASUREMEN
Page 393: N A 0.06 0.05 0.04 0.03 0.02 0.01 0
Page 396 and 397: Intensity profile (arb. units) 1 0.
Page 398 and 399: [4] H. Okada et al., Proc. of the 1
Page 400 and 401: The amplitudes of the signals and t
Page 402 and 403: The following results has been obta
Page 404 and 405: interaction vanishes and a single Z
Page 406 and 407: an amorphous NH3 for low and high,
Page 408 and 409: and depends on a choice of � ℓ1
Page 410 and 411: 3 The conditions for transparent sp
Page 412 and 413: where angles α and β are defined
Page 414 and 415: forward angles, where vector Ay and
Page 418 and 419: RF dipole (transverse B): εBdl = 1
Page 420 and 421: i PV / PV i PV / PV 1 0.5 0 -0.5 -1
Page 422 and 423: The energies of the states Ψ1 −
Page 424 and 425: field P ≈ +1. If we add the trans
Page 426 and 427: econstruction provide more accurate
Page 428 and 429: y detector saturation from pC colli
Page 430 and 431: 2 �p+ 8 He analyzing power measur
Page 432 and 433: 3.3 Effect of valence neutrons on s
Page 434 and 435: i.e. n0(θ +2π) =n0(θ) . There ar
Page 436 and 437: w and ˙ɛ. For example, we use par
Page 438 and 439: 436
Page 441 and 442: REGULARIZATION OF SOURCE OF THE KER
Page 443 and 444: The corresponding phase transition
Page 445 and 446: ABOUT SPIN PARTICLE SOLUTION IN BOR
Page 447 and 448: where the functions fi(s, η) must
Page 449 and 450: SPINDYNAMICS I.B. Pestov JINR, 1419
Page 451 and 452: State of hadron matter is defined t
Page 453 and 454: REMARK ON SPIN PRECESSION FORMULAE
Page 455 and 456: It is easy to see that for a (massi
Page 457 and 458: DYNAMICS OF SPIN IN NONSTATIC SPACE
Page 459 and 460: Schwinger gauge. Probably for the f
Page 461 and 462: DSPIN-09 WORKSHOP SUMMARY Jacques S
Page 463 and 464: to some preliminary results reporte
Page 465 and 466: A new measurement of the polarizati
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new NLO QCD parametrization of the
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Name (Institution, Town, Country) E
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References - Bogoliubov Laboratory of Theoretical Physics - JINR

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