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proton beam is planned. References [1] See http://wwwasd.web.cern.ch/wwwasd/geant/ [2] T. Sjostrand et al., hep-ph/0308153. [3] A. Bianconi, M. Radici, Phys. Rev. D73 (2006) 034018; Phys. Rev. D72 (2005) 074013 [4] A. Bianconi, arXiv:0806.0946 [hep-ex] [5] N.C.R. Makins, GMC trans manual, HERMES internal report 2003, HERMES-03- 060; G. Schnell, talk at workshop Transversity’07, ECT ∗ Trento, Italy, June 2007 [6] A. Airapetian et al. (HERMES Collaboration), Phys. Rev. Lett. 84, 4047 (2000); Phys. Rev. D 64, 097101 (2001); Phys. Lett. B 562, 182 (2003) [7] A.N. Sissakian, O.Yu. Shevchenko, A.P. Nagaytsev, O.N. Ivanov, Phys. Rev. D72 (2005) 054027 [8] D. Boer, Phys. Rev. D 60, 014012 (1999) [9] A. V. Efremov et al, Phys. Lett. B612 (2005) 233 [10] J.C. Collins et al, Phys. Rev. D73 (2006) 014021 [11] M. Anselmino et al, Phys. Rev. D75 (2007) 054032 [12] M. Gluck, E. Reya, A. Vogt, Z. Phys. C67 (1995) 433 [13] M. Gluck, E. Reya, M. Stratmann, W. Vogelsang, Phys. Rev. D53 (1996) 4775 208
HIGH ENERGY SPIN PHYSICS WITH THE PHENIX DETECTOR AT RHIC D. Kawall 1 † on behalf of the PHENIX Collaboration (1) RIKEN-BNL Research Center and University of Massachusetts, Amherst, USA † E-mail: kawall@bnl.gov Abstract The Relativistic Heavy Ion Collider (RHIC) at Brookhaven National Laboratory has demonstrated the unique ability to collide beams of polarized protons at center of mass energies from √ s= 62.4 to 500 GeV. Such collisions have been analyzed by members of the PHENIX collaboration to shed light on the size and shape of the spin-dependent distribution function of the gluon Δg(x), and on the origin of large asymmetries in inclusive hadron production from collisions involving transversely polarized protons. After a brief review of RHIC and the PHENIX detector, our recent results in spin physics will be presented, along with our prospects for determining quark flavor-separated spin-dependent distribution functions extracted using parity violation in the production and decay of W bosons at RHIC. 1 Introduction From polarized deep-inelastic scattering experiments at SLAC, CERN, and DESY, we have learned that quark and antiquarks carry perhaps 25% of the spin of the proton [1]. This fraction was unexpectedly small, and understanding the remainder, which must come from the intrinsic spin of the gluons Δg(x), and orbital angular momentum of the quarks Lq, and gluons Lg, presents an outstanding challenge to theorists and experimentalists. The Relativistic Heavy Ion Collider (RHIC) at Brookhaven National Laboratory has the unique ability to collide beams of highly polarized protons. This has provided experimentalists with a new tool to measure, with leading order sensitivity, the gluon contribution to the spin of the proton [2]. In addition, RHIC has reached pp center of mass energies of 500 GeV, where measurements of Δu, Δū, Δd, and Δ ¯ d are possible by exploiting parity-violation in the process pp → W ± + X [2]. 2 RHIC : The Polarized Proton Collider RHIC has two rings, each of which can contain 120 bunches of polarized protons. In the interaction regions, a bunch from one ring collides with a bunch from the other ring, then these same bunches circulate in opposite directions 3833 m around the RHIC rings and collide again about 13 μs later [3]. The spin is preserved during acceleration and store through the use of a pair of Siberian snakes. The spins can be rotated from transverse to longitudinal at the interaction region by spin rotators. In the most recent run in 2009, RHIC was run at √ s=500 GeV for 30 209
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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
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
Page 198 and 199: [12] A. V. Efremov and O. V. Teryae
Page 200 and 201: Figure 1: The COMPASS spectrometer.
Page 202 and 203: Comparing this formula to the inclu
Page 204 and 205: Figure 5: Comparison of COMPASS inc
Page 206 and 207: [9] B. Adeva et al. (SMC Coll.), Ph
Page 208 and 209: q T sin( φ-φ ) M AUT 0.14 0.12 0.
Page 212 and 213: Run Year √ s (GeV) Polarization R
Page 214 and 215: ackground fraction, and asymmetry i
Page 216 and 217: At √ s = 200 GeV, ALL(pp → π
Page 218 and 219: [6] D. de Florian, W. Vogelsang, an
Page 220 and 221: higher energies, where the cross se
Page 222 and 223: Figure 3: The experimental results
Page 224 and 225: kinematic range to low values of Bj
Page 226 and 227: 3 Semi-Inclusive DIS Collins and Si
Page 228 and 229: Unpolarized target asymmetries. The
Page 230 and 231: 4 Summary Since the end of data-tak
Page 232 and 233: polarization as well as a construct
Page 234 and 235: Finally the COMPASS reconstruction
Page 236 and 237: tained in the NLO QCD approximation
Page 238 and 239: 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
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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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