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0 -0.002 -0.004 -0.006 -0.008 A sin(3φ h - φ S ) UT π + proton 0 0.2 0.4 0.6 0.8 (a) x 0.015 0.01 0.005 A sin(3φ h - φ S ) UT π - proton 0 0 0.2 0.4 0.6 0.8 (b) x 0.05 0.025 0 -0.025 -0.05 A sin(3φ h - φ S ) UT 10 -2 π + deuteron 10 -1 (c) x 0.05 0.025 0 -0.025 -0.05 A sin(3φ h - φ S ) UT 10 -2 π - deuteron Figure 4: The single-spin asymmetry A sin(3φh−φS) UT in DIS production of charged pions off proton and deuterium targets, as function of x. The theoretical curves are obtained by evolving the light-cone CQM predictions for h ⊥(1) 1T of Ref. [5] to Q2 =2.5 GeV2 ,usingtheh1evolution pattern. The preliminary COMPASS data are from Ref. [24]. MES data [20] for a proton target (panels (a) and (b) of Fig. 2). This is in line with the favourable comparison between our model predictions [4] and the phenomenological extraction of the transversity and the tensor charges in Ref. [22]. Our results are compatible also with the COMPASS data [21] for a deuterium target (panels (c) and (d) of Fig. 2) which extend down to much lower values of x. In the case of the asymmetry A sin(3φ−φS) UT we face the question how to evolve h ⊥(1) 1T from the low scale of the model to the relevant experimental scale. Since exact evolution equations are not available in this case, we “simulate” the evolution of h ⊥(1) 1T by evolving it according to the transversity-evolution pattern. Although this is not the correct evolution pattern, it may give us a rough insight on the possible size of effects due to evolution (for a more detailed discussion we refer to [16]). The evolution effects give smaller asymmetries in absolute value and shift the peak at lower x values in comparison with the results obtained without evolution. The results shown in Fig. 4 are also much smaller than the bounds allowed by positivity, |h ⊥(1) 1T |≤ 1 2 (f1(x) − g1(x)), and constructed using parametrizations of the unpolarized and helicity distributions at Q 2 =2.5 GeV 2 . Precise measurements in range 0.1 � x � 0.6 are planned with the CLAS 12 GeV upgrade [23] and will be able to discriminate between these two scenarios. There exist also preliminary deuterium target data [24] which are compatible, within error bars, with the model predictions both at the hadronic and the evolved scale. Acknowledgments This work is part of the activity HadronPhysics2, Grant Agreement n. 227431, under the Seventh Framework Programme of the European Community. It is also supported in part by DOE contract DE-AC05-06OR23177, the Grants RFBR 09-02-01149 and 07-02-91557, RF MSE RNP 2.1.1/2512 (MIREA) and by the Heisenberg-Landau Program of JINR. References [1] S.J. Brodsky, H.-Ch. Pauli, S.S. Pinsky, Phys. Rep. 301 (1998) 299. 106 10 -1 (d) x
[2] B. Pasquini, and S. Boffi, Phys. Rev. D 76 (2007) 074011. [3] S. Boffi and B. Pasquini, Riv. Nuovo Cim. 30 (2007) 387; S. Boffi, B. Pasquini, M. Traini, Nucl. Phys. B 649 (2003) 243; Nucl. Phys. B 680 (2004) 147. [4] B. Pasquini et al., Phys.Rev.D72 (2005) 094029; Phys. Rev. D 76 (2007) 034020. [5] B. Pasquini, S. Cazzaniga and S. Boffi, Phys. Rev. D70 (2008) 034025. [6] X. Ji, J.-P. Ma and F. Yuan, Nucl. Phys. B 652 (2003) 383; Eur. Phys. J. C 33 (2004) 75. [7] F. Schlumpf, doctoral thesis, University of Zurich, 1992; hep-ph/9211255. [8] F. Schlumpf, J. Phys. G: Nucl. Part. Phys. 20 (1994) 237; Phys. Rev. D 47, 4114 (1993); Erratum-ibid. D 49 (1993) 6246. [9] D. Boer and P. J. Mulders, Phys. Rev. D 57 (1998) 5780. [10] D. W. Sivers, Phys. Rev. D 41 (1990) 83; Phys. Rev. D 43 (1991) 261. [11] M.DiehlandPh.Hägler, Eur. Phys. J. C 44 (2005) 87. [12] B. Pasquini and S. Boffi, Phys. Lett. B 653 (2007) 23; B. Pasquini, S. Boffi, P. Schweitzer, arXiv:0910.1677 [hep-ph]. [13] H. Avakian, A. V. Efremov, P. Schweitzer, F. Yuan, Phys. Rev. D 78, 114024 (2008); H. Avakian et al., arXiv:0910.3181 [hep-ph]. [14] Ph. Hägler,B.U.Musch,J.W.NegeleandA.Schäfer, arXiv:0908.1283 [hep-lat]. [15] B. U. Musch, arXiv:0907.2381 [hep-lat]. [16] S. Boffi, A. V. Efremov, B. Pasquini, P. Schweitzer, Phys. Rev. D 79 (2009) 094012. [17] A. V. Efremov, K. Goeke and P. Schweitzer, Phys. Rev. D 73 (2006) 094025. [18] M. Glück, E. Reya and A. Vogt, Eur. Phys. J. C 5 (1998) 461. [19] S. Kretzer, Phys. Rev. D 62 (2000) 054001. [20] M. Diefenthaler, AIP Conf. Proc. 792 (2005) 933; L. Pappalardo, Eur. Phys. J. A 38 (2008) 145; A. Airapetian et al., Phys. Rev. Lett. 94, 012002 (2005). [21] M. Alekseev et al. [COMPASS Coll.], Phys. Lett. B 673 (2009) 127. [22] M. Anselmino et al., Phys. Rev. D 75 (2007) 054032; Nucl. Phys. Proc. Suppl. 191 (2009) 98. [23] H. Avakian, et al., JLab LOI 12-06-108 (2008); JLab E05-113; JLab PR12-07-107. [24] A. Kotzinian [on behalf of the COMPASS Coll.], arXiv:0705.2402 [hep-ex]. 107
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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
Page 57 and 58: 5 Acknowledgement B.I. Ermolaev is
Page 59 and 60: We shall call this model the “sec
Page 61 and 62: y f ν V = f l V = f u V = f d gz V
Page 63 and 64: 2. We remind, that the celebrated G
Page 65 and 66: of the resonance A, θV � 39 o .
Page 67 and 68: • Right-handed EW currents. The c
Page 69 and 70: pesum- (p Entries 0 + pe)-(p-pe) Me
Page 71 and 72: CROSS SECTIONS AND SPIN ASYMMETRIES
Page 73 and 74: R(ρ) 5 4 3 2 1 0 2 3 4 5 6 7 8 9 1
Page 75 and 76: TWO-PHOTON EXCHANGE IN ELASTIC ELEC
Page 77 and 78: and depend on three parameters : fN
Page 79 and 80: O(αs) SPIN EFFECTS IN e + e −
Page 81 and 82: 3 Polarization results for mq → 0
Page 83 and 84: Since one has (↑↓) pc Born =(
Page 85 and 86: Figure 1: A typical lowest order Fe
Page 87 and 88: sin φ S (π + ) A UT 1.0 0.8 0.6 0
Page 89 and 90: form the agreement with these data
Page 91 and 92: in settling this dynamical issue. G
Page 93 and 94: SPIN CORRELATIONS OF THE ELECTRON A
Page 95 and 96: 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: ky �GeV� 0.4 0.2 0.0 �0.2 �
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 and 148: g 3 A =Δuv(Q 2 ) − Δdv(Q 2 ), g
Page 149 and 150: AXIAL ANOMALIES, NUCLEON SPIN STRUC
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
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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
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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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