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an amorphous NH3 for low and high, positive and negative nuclear polarizations (spin temperatures). Since magnetic transitions obey the Δ(mp + mn)=±1 selection rule, for protons Δ(mp)=±1, then Δ(mn)=0 in Eq.(3). At parallel orientation (mp=1/2, mn=1 or mp=-1/2, mn=-1), the proton energy will be increased by amount hJnm/2; for antiparallel (mp=-1/2, mn=1 or mp=1/2, mn=-1) it will be decreased by the same amount. In the order of increasing frequency of the spectrometer, the positive spectra will include νJ−, νJ0, νJ+ Fermi transitions and the ν+ transition. For negative spectra we have ν− and νJ−, νJ0, νJ+ transitions, respectively. Since the remote spins interact only by the dipolar interaction which is independent of the spin permutations, they generate the symmetrical part of a spectra i.e. ν+ and ν− transitions in Fig. 2a. The proton spins surrounding Fcentres are undergone by shorter-acting and, hence, the stronger J-interaction [8] which produces the residual i.e. asymmetrical part of the line. This logic allows one to explain the left-hand asymmetry of the spectral line at the positive and the right-hand asymmetry at the negative polarizations. It is clear that the asymmetrical parts of signals, shown with the solid lines in Fig. 2c, are the squeezed images of nitrogen spins into the proton line shape. Using Eq. (1), the Table data and the spectral bandwidths in Fig. 1b and Fig. 2c it isn’t difficult to estimate the amplitude enhancement given by the method: ANH AN = ξ ΔN ( ΔH � ∞ 0 vHdω/ � ∞ 0 vNdω) ≈ 0.3 2.3MHz 0.1MHz · (2150) ≈ 1.5 · 104 , (4) where ξ ≈0.3 is the asymmetrical contribution in the proton spectrum estimated from Fig. 2c, ΔN/ΔH is the ratio of nitrogen and proton bandwidths estimated from Fig. 1b and Fig. 2c and the ratio in the brackets was estimated by Eq. (1) for the proton of 90% (BH ≈0.9) and the nitrogen of 11% (BN ≈0.11) polarizations both having about the equal temperatures. The effect can be visualized by a comparison between the noisy routine spectra in Fig. 1c and the noiseless solid curves in Fig. 2c obtained by our method. The above consideration has shown that the relative isotope densities of different quadrupole nuclei in frozen amorphous biological samples can be compared by their squeezed images in the proton spectrum. The method results in the better accuracy for isotopic comparison between the normal and cancerous blood samples due to large amplitude enhancement and the detection at fixed tuning of the NMR-spectrometer. References [1] W. Meyer, Nucl. Instr. and Meth. in Phys. Res. A 526, (2004) 12-21. [2] W.S. Holton and H. Bloom, Phys. Rev. 125, (1962) 89-103. [3] A. Abragam and M. Goldman, Nuclear Magnetizm: Order and Disorder, (Clarendon Press, Oxford, 1982) Ch. VI. [4] Y. Kisselev et al., Nucl. Instr.and Meth. in Phys. Res. A 526, (2004) 105. [5] B. Adeva et al., Nucl. Instr.and Meth. in Phys. Res. A 419, (1998) 60-82. [6] W. de Boer, Dynamic Orientation of Nuclei at Low Temperatures, Geneva, CERN, Yellow Report 74-11, (Nucl. Phys. Division, 13 May, 1974) 1-76. [7] Y. Kiselev et al., Spin Interactions and Cross-checks of Polarization in NH3 Target. Int. Workshop SPIN-PRAHA-2008, July 19-26. To be published in EPJ. [8] H.S.Gutowsky,D.W.McCallandC.P.Slichter,J.Chem.Phys.,21, (1953) 279. 404
TRANSPARENT SPIN RESONANCE CROSSING IN ACCELERATORS A.M. Kondratenko 1 † ,M.A.Kondratenko 1 and Yu.N. Filatov 2 (1) GOO “Zaryad”, Novosibirsk (2) JINR, Dubna † kondratenkom@mail.ru Abstract In papers [1–4] the new technique of spin resonance crossing has been offered, which essentially expands opportunities of well-known methods for fast or adiabatic crossing. Technique of transparent spin resonance crossing takes into account interference of spin precession phases inside resonance region. In this paper the received results are summarized with the help of spin precession axis and generalized spin tune concept. 1 The spin motion description under stationary conditions The description of spin motion in cyclic accelerators and storage rings essentially does not differ from the orbital beam motion one. Under stationary conditions the main characteristics of orbital motion are canonically conjugated variables of actions and phases. Particles acceleration relates to nonstationary conditions and requires the special description of beam polarization behavior which is similar to the description of orbital motion. Therefore it is natural to study first spin motion under stationary conditions and then to investigate nonstationary conditions. At nonequilibrium orbits the spin field is periodic function of all particle oscillations phases near a closed orbit under stationary conditions �W (θ, Ψi,Ii) = � W (θ +2π, Ψi +2π, Ii) , where θ is a generalized azimuth, i.e. length along the closed orbit in terms of its radius, Ii, Ψi are action-phase variables of particle orbital motion near closed orbit in accelerator. It is shown, that for multifrequency system there is a precession axis with similar spin field properties of periodicity [5, 6]: �n(θ, Ψi,Ii) =�n(θ +2π, Ψi +2π, Ii) , The precession axis �n is the solution of the Thomas-BMT equation d�n/dθ ≡ �n ′ � � = �W × �n The generalized spin tune describing spin motion in a perpendicular to the �n axis plane is determined by the general expression ν = � W · �n − � ℓ2 · � ℓ ′ 1 405 (1)
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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
Page 356 and 357: The MC production comprises three s
Page 358 and 359: 6 High pT hadron pair analysis for
Page 360 and 361: [2] V. Y. Alexakhin et al. [COMPASS
Page 362 and 363: 2 Towards polarized Antiprotons For
Page 364 and 365: 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
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Page 382 and 383: is recorded, a good particle identi
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Page 386 and 387: 2.6 Summary and Outlook The first d
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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
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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 416 and 417: espectively. The open symbols repre
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
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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
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DYNAMICS OF SPIN IN NONSTATIC SPACE
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Schwinger gauge. Probably for the f
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DSPIN-09 WORKSHOP SUMMARY Jacques S
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to some preliminary results reporte
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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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