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[7]. Newly released data from HERMES collaboration also shows that the strange sea quark polarization is very small and the helicity distribution is zero within experimental uncertainties [6]. The value that obtained by the HERMES collaboration for g8 A is 0.285± 0.046(stat) ± 0.057(sys) [6]. Accepting HERMES results and the data from COMPASS collaboration points to the fact that the role of sea polarization is marginal and consistent with zero. This fact is naturally explained in our model, which relies on the Next-to- Leading order calculations in perturbative QCD. This situation leaves us with the valence and gluon polarization and the orbital angular momentum in the nucleon. The gluon and orbital angular momentum contributions to the spin of proton is discussed in [3]. As a Conclusion, we calculate the axial coupling constant by using the results obtained for PPDFs and nucleon structure functions in the valon framework. In our model sea quark polarization is consistent with zero because we work in the framework of QCD and in these processes the sea quark polarization can not produces perturbatively. The results obtained for g3 A and g8 A have very good agreement with new released data from HERMES and COMPASS. References [1] R. C. Hwa, Phys. Rev. D22, 759 (1980). [2] R. C. Hwa,C.B.Yang,Phys.Rev.C66:025205,2002. [3] F. Arash and F.Taghavi-Shahri, JHEP 07 (2007) 071. [4] F. Arash, F.Taghavi-Shahri, Phys. Lett B668 (2008) 193. [5] HERMES Collaboration, A. Airapetian et al;Phys.Rev.D75:012007,2007 [6] HERMES Collaboration, A. Airapetian et al; Phys.Lett.B666:446-450,2008 [7] COMPASS Collaboration, A. Korzenev, hep=ex/0704.3600; V. Yv. Alexakhin, et al; Phys. Lett B674 8 (2007). [8] The Particle Data Group: S. Eidelmann et al., Phys. Lett. B592 (2004) 1. [9] Asymmetry Analysis Coll. (AAC), Y. Goto et al., Phys. Rev. D 62, (2000) 034017; ibid D 69, (2004) 054021. [10] J. Blumlein and H. Bottcher, Nucl. Phys. B 636, (2002)225. [11] M.Gluck, E. Reya, M. Stratmann, and W. Vogelsang, Phys. Rev. D 63, (2001) 094005. [12] SMC Collaboration,B. Adeva et al.Phys. Rev. D 58 112001 [13] SMC Collaboration,B. Adeva et al. Phys. Rev. D 60, 072004 [14] E143 Collaboration,K. Abe et al. Phys. Rev. L 75, 1,(1995);Phys. Rev. D 58 (1998), 112003 [15] D. de Florian, G. A. Navarro, R. Sasso, Phys. Rev. D 71 (2005) 094018. 146
AXIAL ANOMALIES, NUCLEON SPIN STRUCTURE AND HEAVY IONS COLLISIONS. O.V. Teryaev BLTP,JINR,141980,Dubna. Russia Abstract The axial (related to axial anomaly) and vector currents of heavy quarks are considered. The special attention is payed to the strangeness polarization mediated by gluon anomaly and treatment of the strange quarks in a heavy ones in a multiscale nucleon. It is shown that the straightforward modification of Heisenberg-Euler effective lagrangian allows to calculate the vector current of strange quarks and describes an analog of Chiral Magnetic Effect for strange and heavy quarks. 1. Introduction. The spin structure of nucleon is a major problem since EMC Spin crisis (puzzle) emerged in 80’s. The first observation [1] was related to the role of gluon anomaly which was interpreted as a (circular) gluon polarization. The extensive experimental investigations at HERMES, COMPASS and RHIC, however, did not find the significant polarization. Sometimes this is described as an ”absence” of anomaly which is quite strange because of the fundamental character of this phenomenon. Because of this, I am going to discuss the manifestation of anomaly through strange quarks polarization mediated by very small polarizations of off-shell gluons. 2. Axial current of strange quarks, gluonic anomaly and strangeness polarization. The divergence of the singlet axial current contains a normal and an anomalous piece, ∂ μ j (0) 5μ � =2i mq ¯qγ5q − q � � Nfαs G 4π a μν � G μν,a , (1) where Nf is the number of flavours. The two terms at the r.h.s. of the last equation are known to cancel in the limit of infinite quark mass. This is the so-called cancellation of physical and regulator fermions, related to the fact, that the anomaly may be regarded as a usual mass term in the infinite mass limit, up to a sign, resulting from the subtraction in the definition of the regularized operators. Consequently, one should expect, that the contribution of infinitely heavy quarks to the first moment of g1 is zero. This is exactly what happens [2] in a perturbative calculation of the triangle anomaly graph. One may wonder, what is the size of this correction for large, but finite masses and how does it compare with the purely perturbative result. To answer this question, one should calculate the r.h.s. of (1) for heavy fermions. The leading coefficient is of the order m −2 , ∂ μ j c 5μ = αs 48πm2∂ c μ Rμ 147 (2)
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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).
Page 97 and 98: ANOTHER NEW TRACE FORMULA FOR THE C
Page 99 and 100: Compare the gain of time and effort
Page 101 and 102: where the triplet and octet axial c
Page 103 and 104: [2] Y. Prok et al. [CLAS Collaborat
Page 105 and 106: Melosh rotations which boost the re
Page 107 and 108: ky �GeV� 0.4 0.2 0.0 �0.2 �
Page 109 and 110: [2] B. Pasquini, and S. Boffi, Phys
Page 111 and 112: The appearance of both |+〉 and |
Page 113 and 114: 2.2 Intrinsic Transverse Motion Qua
Page 115 and 116: are still complex: for a given corr
Page 117 and 118: This last is required to complete t
Page 119 and 120: [16] P.G. Ratcliffe and O.V. Teryae
Page 121 and 122: Figure 1: a)[left] μpG p E /Gp M (
Page 123 and 124: 4 Conclusion We introduced a simple
Page 125 and 126: √ δΔq8 x for Δq8 and γΔGx fo
Page 127 and 128: understanding of polarized light qu
Page 129 and 130: They are inverse powers of Q 2 kine
Page 131 and 132: accounts approximately for the TM a
Page 133 and 134: POTENTIAL FOR A NEW MUON g-2 EXPERI
Page 135 and 136: When the momentum increases (p >p0)
Page 137 and 138: EVOLUTION EQUATIONS FOR TRUNCATED M
Page 139 and 140: 4 Perspectives Evolution equations
Page 141 and 142: NEW DEVELOPMENTS IN THE QUANTUM STA
Page 143 and 144: statistical approach compared to th
Page 145 and 146: POLARIZED HADRON STRUCTURE IN THE V
Page 147: g 3 A =Δuv(Q 2 ) − Δdv(Q 2 ), g
Page 151 and 152: 3. Vector current of strange quarks
Page 153 and 154: ORBITAL MOMENTUM EFFECTS DUE TO A L
Page 155 and 156: The elastic scattering S-matrix in
Page 157 and 158: IDENTIFICATION OF EXTRA NEUTRAL GAU
Page 159 and 160: for final l + l − events (l = μ,
Page 161 and 162: QUARK INTRINSIC MOTION AND THE LINK
Page 163 and 164: where wP = − m 2M 2 −p1 cos ω
Page 165 and 166: where g q 2x − ξ 1(x, pT )= πM2
Page 167: EXPERIMENTAL RESULTS
Page 170 and 171: 01 00 11 01 01 01 00 11 01 01 01 00
Page 172 and 173: where C1, C2 and A1 - signals from
Page 174 and 175: Figure 1: Layout of experiment targ
Page 176 and 177: According to requirements of the de
Page 178 and 179: Electron energy is measured at ATLA
Page 180 and 181: Fig. 2 shows the results of the lon
Page 182 and 183: e γ* e’ x+ ξ x− ξ A A’ e e
Page 184 and 185: cos 0φ C A φ cos C A cos 2φ C A
Page 186 and 187: 5 Summary HERMES has measured signi
Page 188 and 189: (1.205 ± 0.0012) GeV/c, 10 10 p/s,
Page 190 and 191: was done in the interval ”−t”
Page 192 and 193: If we admit a non-zero quark transv
Page 194 and 195: which is trivial in collinear LO ap
Page 196 and 197: 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
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to test the theoretical models of t
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C1 C2 π CH1,2 CH3,4 CH5,6 111 000
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not even resemble the data behavior
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to the slope of the Rosenbluth plot
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The differential cross section of t
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with zero for all mass ranges, with
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more precise and dedicated measurem
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oth types of experiment results are
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is recorded, a good particle identi
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error of the extracted asymmetries
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2.6 Summary and Outlook The first d
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386
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PROTON BEAM POLARIZATION MEASUREMEN
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N A 0.06 0.05 0.04 0.03 0.02 0.01 0
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Intensity profile (arb. units) 1 0.
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[4] H. Okada et al., Proc. of the 1
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The amplitudes of the signals and t
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The following results has been obta
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interaction vanishes and a single Z
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an amorphous NH3 for low and high,
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and depends on a choice of � ℓ1
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3 The conditions for transparent sp
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where angles α and β are defined
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forward angles, where vector Ay and
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espectively. The open symbols repre
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RF dipole (transverse B): εBdl = 1
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i PV / PV i PV / PV 1 0.5 0 -0.5 -1
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The energies of the states Ψ1 −
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field P ≈ +1. If we add the trans
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econstruction provide more accurate
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y detector saturation from pC colli
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2 �p+ 8 He analyzing power measur
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3.3 Effect of valence neutrons on s
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i.e. n0(θ +2π) =n0(θ) . There ar
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w and ˙ɛ. For example, we use par
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436
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REGULARIZATION OF SOURCE OF THE KER
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The corresponding phase transition
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ABOUT SPIN PARTICLE SOLUTION IN BOR
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where the functions fi(s, η) must
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SPINDYNAMICS I.B. Pestov JINR, 1419
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State of hadron matter is defined t
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REMARK ON SPIN PRECESSION FORMULAE
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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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