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INVESTIGATION OF DP-ELASTIC SCATTERING AND DP-BREAKUP AT ITS AT NUCLOTRON S.M. Piyadin 1 † , Yu.V. Gurchin 1 , P.K. Kurilkin 1 , A.Yu. Isupov 1 ,K.Itoh 3 ,M.Janek 14 , J.T. Karachuk 15 ,T.Kawabata 2 ,A.N.Khrenov 1 ,A.S.Kiselev 1 ,V.A.Kizka 1 , V.A. Krasnov 1 , A.K. Kurilkin 1 , V.P. Ladygin 1 ,N.B.Ladygina 1 ,A.N.Livanov 1 , Y. Maeda 6 ,A.I.Malakhov 1 , G. Martinska 4 , S.G. Reznikov 1 , S. Sakaguchi 2 , H. Sakai 27 , Y. Sasamoto 2 ,K.Sekiguchi 8 , M.A. Shikhalev 1 , K. Suda 8 ,T.Uesaka 2 , T.A. Vasiliev 1 , H. Witala 9 . (1) LHEP-JINR, Dubna, Moscow region, Russia (2) Center for Nuclear Study, University of Tokyo, Tokyo, Japan (3) Saitama University, Saitama, Japan (4) P.J.Safarik University, Kosice, Slovakia (5) Advanced Research Institute for Electrical Engineering, Bucharest, Romania (6) Kyushu University, Japan (7) Department of Physics, University of Tokyo (8) Institute for Physical and Chemical Research (RIKEN), Saitama, Japan (8) M. Smoluchowski Institute of Physics, Jagiellonian University, Kraków, Poland † E-mail: piyadin@jinr.ru Abstract The experiment on the light nuclei structure (LNS) studies at Internal Target Station at Nuclotron is discussed. The results on the vector Ay and tensor Ayy, Axx analyzing powers for dp- elastic scattering obtained at Td = 880 MeV are shown. The status of the setup upgrade (detectors, high voltage and DAQ systems etc.) is presented. The purpose of Light Nuclei Structure experimental program is to obtain the information on the spin ��ã dependent parts of 2-nucleon and 3-nucleon forces from two processes: dp-elastic scattering in a wide energy range and dp- non-mesonic breakup with two protons detection at energy 300 - 500 MeV. Nowadays a new generation of the NN potentials (AV-18, CD-Bonn, Nijmegen etc.) was obtained. They reproduce data on the nucleon nucleon scattering up to 350 MeV with very good accuracy. However, these modern 2N forces fail to provide the experimental binding energies of few-nucleon systems. Moreover the data on the dp- elastic scattering and deuteron breakup are not described properly. Incorporation of the 3N forces makes it possible to reproduce the binding energy of the three-nucleon bound systems and also data on unpolarized dp- interaction. Nevertheless, polarization data for the reactions with participation of three and more nucleons are not described even with inclusion of 3NF. Therefore, the obtaining of the additional polarization data in the dp- interaction in the wide energy range more is very desirable for the study of the spin structure of 2N and 3N forces [1]. Another goal is to find a suitable reaction to provide efficient polarimetry of high energy deuteron. dp elastic scattering at large angles (θcm ≥ 60 ◦ ) has been proposed for 288
the polarimetry at the energies between 0.88 and 2.0 GeV [1]. These data are necessary to provide good precision of the beam polarization measurement for DSS project [2] at the LHEP-JINR. The experimental data on the deuteron analyzing powers for large phase space were obtained at 130 MeV at KVI [3]. Ay, Ayy and Axx analyzing powers in dpbreakup will be investigated at Internal Target Station at 200-500 MeV. The predictions for tensor analyzing power Ayy and differential cross section in the selected dpbreakup configurations at 400 MeV are shown in Fig.1. The light shaded band contains the theoretical predictions based on CD-Bonn, AV18, Nijm I, II and Nijm 93. The darker band represents predictions when these NN forces are combined with the TM 3NF. The solid line is for AV18+Urbana IX and the dashed line for CD Bonn+TM. One can see large sensitivity of these observables to the model of 3NF. The details of the experiment on the measurements of analyzing powers in dp-elastic scattering at Nuclotron can be found in ref. [4]. The polarization of the deuteron beam was measured at 270 MeV, where high-precision Figure 1: The tensor analyzing power Ayy and differential cross section in selected breakup configurations at 400 MeV. The curves are explained in the text. data on the analyzing powers from dp-elastic scattering from RIKEN exist [5]. Two particles from the dp-elastic scattering were clearly distinguished by their time-of-flight differences from the target and their energy losses in the plastic scintillators. Values on the vector and tensor polarizations of the deuteron beam were obtained. These values are in good agreement with the results obtained by low energy polarimeter based on 3 He(d, p(0 ◦ )) 4 He reactions [6]. A 0.8 y Td=880 MeV 0.6 0.4 0.2 -0 -0.2 -0.4 -0.6 0 20 40 60 80 100 120 140 160 180 Θcm, deg A 0.8 y Td=880 MeV 0.6 0.4 0.2 -0 -0.2 -0.4 -0.6 0 20 40 60 80 100 120 140 160 180 Θcm, deg Axx 1 0.5 0 -0.5 -1 Td=880 MeV -1.5 0 20 40 60 80 100 120 140 160 180 Θcm, deg (a) (b) (c) Figure 2: (a) Vector Ay and (b) tensor Ayy, (c) Axx analyzing powers for the dp- elastic scattering at 880 MeV. The curves are described in the text. The true numbers of the dp- elastic events at 880 MeV were obtained by imposing of the cut on two-dimensional plot of ADC signals from deuterons and protons detectors. Additionally, the graphical cuts were applied on the time-of-flight difference between deuterons and protons from the target. The contribution of the carbon dependent on the scattering angle was subtracted. The experimental data obtained at 880 MeV are compared with the theoretical predictions in Fig.2. Solid curves correspond to Faddeev calculation using the CD-Bonn NN potential. One can see that the Faddeev calculations reproduce the behavior of all the analyzing powers. Dotted curves correspond to the calculations in optical potential 289
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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
Page 240 and 241: (a) (b) Figure 3: (a) T20 data take
Page 242 and 243: of electroproduction from polarized
Page 244 and 245: As is seen in Fig. 1 values of the
Page 246 and 247: SEMI-INCLUSIVE DIS AND TRANSVERSE M
Page 248 and 249: The yellow band in Fig. 1 is the re
Page 250 and 251: At leading twist, a third asymmetry
Page 252 and 253: THE COMPLETION OF SINGLE-SPIN ASYMM
Page 254 and 255: A N , % 30 20 10 0 0 0.2 0.4 0.6 0.
Page 256 and 257: Unexpectedly large single spin asym
Page 258 and 259: THE GENERALIZED PARTON DISTRIBUTION
Page 260 and 261: , E) H ~ (H, I Im C 5 4 3 2 1 Q = 1
Page 262 and 263: Reducing to a common denominator (
Page 264 and 265: LAMBDA PHYSICS AT HERMES S. Belosto
Page 266 and 267: analysis was carried out reconstruc
Page 268 and 269: SPIN PHYSICS AT NICA A. Nagaytsev J
Page 270 and 271: original software packages (MC simu
Page 272 and 273: MEASUREMENTS OF TRANSVERSE SPIN EFF
Page 274 and 275: to “near-side” and “away-side
Page 276 and 277: THE FIRST STAGE OF POLARIZATION PRO
Page 278 and 279: In paper [12] the study was made of
Page 280 and 281: emphasis to increase the statistics
Page 282 and 283: Table 2: The parameters of the main
Page 284 and 285: POLARIZATION MEASUREMENTS IN PHOTOP
Page 286 and 287: With a polarized electron beam inci
Page 288 and 289: Figure 3: Preliminary helicity asym
Page 292 and 293: framework with the use of deuteron
Page 294 and 295: SPIN PHYSICS WITH CLAS Y. Prok 12,
Page 296 and 297: 1.3 Flavor Decomposition of the Hel
Page 298 and 299: Γ p 1 0.15 0.125 0.1 0.075 0.05 0.
Page 300 and 301: The upcoming energy upgrade of Jeff
Page 302 and 303: y the nearly 1000 combined citation
Page 304 and 305: � R = −Pt/Pl τ(1 + ε)/2ε; he
Page 306 and 307: 4 Results of GEp-III Experiment In
Page 308 and 309: 6 Theoretical Developments The earl
Page 310 and 311: lz = 0 (along the direction of the
Page 312 and 313: models have recently been challenge
Page 314 and 315: [32] Chung P. L. and F. Coester, Ph
Page 316 and 317: 48 ± 3% for two beams. The proton
Page 318 and 319: is constant with cos θ∗ , as exp
Page 320 and 321: In summary, we made measurements on
Page 322 and 323: angle between the direction of the
Page 324 and 325: The sensitivity of the data to the
Page 326 and 327: COMPASS could be converted into a f
Page 328 and 329: 3.1.2 Beam charge and spin asymmetr
Page 330 and 331: contributions enter only beyond lea
Page 332 and 333: References [1] D. Mueller et al, Fo
Page 334 and 335: l’ l p q p h H (z) 1 h (x) 1 l l
Page 336 and 337: 3. Data selection. The data selecti
Page 338 and 339: 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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