References - Bogoliubov Laboratory of Theoretical Physics - JINR

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field P ≈ +1. If we add the transition 2 → 6 after the second sextupole, we produce pure state 6 with F =3/2, mF = −3/2 andP ≈−1 after ionization. So, for the polarized metastable 3 He atomic beam, we need two weak field transition units that should be placed between and after the sextupole magnets. It is interesting to note that the pure states of 3 He(2S) may be transferred into the pure states of 3 He + after stripping one electron in 2S-state. The results of Slobodrian [5] tentatively confirm this point. In their scheme the adiabatic transition in a weak magnetic field (mF →−mF ) transforms components 1-2 by turns into 3-6. In a magnetic field the wave function of the hyperfine substate 3 of the 3 He(2S) atom is ψ(F =1/2,mF = −1/2) = − sin αψ + h ψ− J +cosαψ− h ψ0 J ⇒ ψ− h ψ0 J . With B =0.2 T,(x =0.8309) cos α =0.8564 and sin α =0.5164. It can be easily shown that if the second ionization is effected in zero magnetic field the expected value of P for the pure state of 3 He + would be P = −0.68, and for the mixed state 3 He + P = −0.44 . The measured value is P = −(0.6 ÷ 0.8). A tapered electromagnet produces a static magnetic field Bz(x) perpendicular to the beam path with a field gradient dBz/dx along x = vt. Bz(x) =B0 + dBz dx x, Bx(x) =B1(x)sinωx. (10) We accepted that some parameters have the same values as in the paper by Oh [2]: B0 =1.17 × 10 −3 T, dBz/dx = −1.4 × 10 −2 T/m for a negative static field gradient (or B0 =4.7 × 10 −4 T, dBz/dx =1.4 × 10 −2 T/m for a positive gradient), l =5× 10 −2 m, ω =9.63 × 10 7 rad/s for the 2 → 6 transition and ω =1.93 × 10 8 rad/s for the 1 → 3 transition. The atomic beam velicity v =1.2 × 103 m/sec. The RF amplitude B1(x) is a quadratic function of x with zero values at x =0andx = l; Bmax 1 = B1(l/2) = (1 − 2) × 10−4 T. The results of the computer calculations for an atom velocity of 1200 m/s give practically 100% probability of the transition. 4 Conclusion Some aspects of developing a polarized helion source for JINR Accelerator Complex was discussed. The possibility to get positive and negative values of the helion polarization by using two types of the weak field transitions in the metastable helium-3 atom is shown. References [1] E.P. Antishev, A.S. Belov, Proc. of the 12 Int. Workshop on Polarized Ion Sources, Targets and Polarimetry, PSTP2007, AIP Conf. Proc. V.980 (2008) 263. [2] S. Oh, Nucl. Instr. & Meth. 82(1970) 189. [3] J.P.M. Beijers, Nucl. Instr. & Meth. A536 (2005) 282. [4] H. Hasuyama, Y. Wakuta, Nucl. Instr. & Meth. A260 (1987) 1. [5] R. J. Slobodrian et al., Nucl. Instrum. & Meth. A244 (1986) 127. 422
PROTON POLARIMETER AT 200 MEV ENERGY A.A. Bogdanov 1 , S.B. Nurushev, M.F. Runtso 1 † , and A.N. Zelenski 2 (1) National Research Nuclear University ”Moscow Engineering Physics Institute” (Russia) (2) Brookhaven National Laboratory (USA) † E-mail: mfruntso@mephi.ru Abstract The precise measurements of proton beam polarization at energy 200 MeV (at the exit of the linac before injection into Booster) are required for the polarization ajustment (monitoring and optimization) out of the source, for the spin-rotator tune of the vertical polarization and for the study of the polarization losses in the Booster and AGS. For this purpose, we have investigated two of possible solutions: polarimeters based on elastic pp and pD scattering. We compare these two polarimeters by estimating their factor of merit, statistical and systematical precisions and quality of the experimental apparatus. The absolute polarization measurements of about ±1% can be achieved at 200 MeV by using very accurate known value of pD analyzing power. RHIC is the first collider where the ”Siberian snake” technique was successfully implemented to avoid the resonance depolarization during beam acceleration in RHIC. Polarimetry is another essential component of the polarized collider facility. A complete set of polarimeters includes: Lamb-shift polarimeter at the source energy, a 200 MeV polarimeter after the linac, and polarimeters in AGS and RHIC based on proton-Carbon scattering in Coulomb-Nuclear Interference region. A polarized hydrogen jet polarimeter was used for the absolute polarization measurements in RHIC. Also local polarimeters for tuning of longitudinal polarization are installed at STAR and PHENIX detectors. The polarized proton source operates at about 1 Hz repetition rate and additional source pulses were directed to the 200 MeV proton-Carbon polarimeter for the source polarization measurements and optimization, spinrotator tuning, and continuous polarization monitoring. The p-Carbon polarimeter was calibrated by the elastic p-Deuteron scattering where analyzing power was measured to less than 0.5% absolute accuracy at IUCF. This polarimeter is described in the papers [1], [2]. Figure 1: Layout of 200 GeV proton polarime- The polarimeter schematic layout is ter. shown in Fig.1. The targets are exchangeable carbon filaments and CD2 polyethylene foils. The measurements of elastic proton-Deuteron collisions and complete collision kinematics 423
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XIII Advanced Research Workshop on
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ã�� [539.12.01 + 539.12 ... 14
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Analytic perturbation theory and pr
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Measurements of GEp/GMp to high Q 2
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WELCOME ADDRESS Alexei Sissakian Di
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he joined the group of prof. Przemy
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proton. Dividing these 90 ◦ cm p-
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p-p scattering angle fixed at exact
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tuning for each ring. The Workshop
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was only about 10 5 per second, but
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[10] E.F. Parker et al., Phys. Rev.
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MICROSCOPIC STERN-GERLACH EFFECT AN
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DeGrand-Miettinen model predicted P
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TOWARDS STUDY OF LIGHT SCALAR MESON
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104xdBR(φ--> π η 0 -1 γ )/dm, G
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RECURSIVE FRAGMENTATION MODEL WITH
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Figure 2: String decaying into pseu
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pT -distributions in the quark frag
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4 Inclusion of spin-1 mesons For a
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CONSTITUENT QUARK REST ENERGY AND W
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〈r 2 ch 〉≈1fm2 . Now with Eqs
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TOWARDS A MODEL INDEPENDENT DETERMI
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Common for the difference cross sec
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TRANSVERSITY GPDs FROM γN → πρ
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The scattering amplitude of the pro
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INFRARED PROPERTIES OF THE SPIN STR
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5 Acknowledgement B.I. Ermolaev is
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We shall call this model the “sec
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y f ν V = f l V = f u V = f d gz V
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2. We remind, that the celebrated G
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of the resonance A, θV � 39 o .
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• Right-handed EW currents. The c
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pesum- (p Entries 0 + pe)-(p-pe) Me
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CROSS SECTIONS AND SPIN ASYMMETRIES
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R(ρ) 5 4 3 2 1 0 2 3 4 5 6 7 8 9 1
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TWO-PHOTON EXCHANGE IN ELASTIC ELEC
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and depend on three parameters : fN
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O(αs) SPIN EFFECTS IN e + e −
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3 Polarization results for mq → 0
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Since one has (↑↓) pc Born =(
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Figure 1: A typical lowest order Fe
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sin φ S (π + ) A UT 1.0 0.8 0.6 0
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form the agreement with these data
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in settling this dynamical issue. G
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SPIN CORRELATIONS OF THE ELECTRON A
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the two-photon system equaling 1).
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ANOTHER NEW TRACE FORMULA FOR THE C
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Compare the gain of time and effort
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where the triplet and octet axial c
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[2] Y. Prok et al. [CLAS Collaborat
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Melosh rotations which boost the re
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ky �GeV� 0.4 0.2 0.0 �0.2 �
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[2] B. Pasquini, and S. Boffi, Phys
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The appearance of both |+〉 and |
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2.2 Intrinsic Transverse Motion Qua
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are still complex: for a given corr
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This last is required to complete t
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[16] P.G. Ratcliffe and O.V. Teryae
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Figure 1: a)[left] μpG p E /Gp M (
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4 Conclusion We introduced a simple
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√ δΔq8 x for Δq8 and γΔGx fo
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understanding of polarized light qu
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They are inverse powers of Q 2 kine
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accounts approximately for the TM a
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POTENTIAL FOR A NEW MUON g-2 EXPERI
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When the momentum increases (p >p0)
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EVOLUTION EQUATIONS FOR TRUNCATED M
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4 Perspectives Evolution equations
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NEW DEVELOPMENTS IN THE QUANTUM STA
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statistical approach compared to th
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POLARIZED HADRON STRUCTURE IN THE V
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g 3 A =Δuv(Q 2 ) − Δdv(Q 2 ), g
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AXIAL ANOMALIES, NUCLEON SPIN STRUC
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3. Vector current of strange quarks
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ORBITAL MOMENTUM EFFECTS DUE TO A L
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The elastic scattering S-matrix in
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IDENTIFICATION OF EXTRA NEUTRAL GAU
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for final l + l − events (l = μ,
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QUARK INTRINSIC MOTION AND THE LINK
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where wP = − m 2M 2 −p1 cos ω
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where g q 2x − ξ 1(x, pT )= πM2
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EXPERIMENTAL RESULTS
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01 00 11 01 01 01 00 11 01 01 01 00
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where C1, C2 and A1 - signals from
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Figure 1: Layout of experiment targ
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According to requirements of the de
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Electron energy is measured at ATLA
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Fig. 2 shows the results of the lon
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e γ* e’ x+ ξ x− ξ A A’ e e
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cos 0φ C A φ cos C A cos 2φ C A
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5 Summary HERMES has measured signi
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(1.205 ± 0.0012) GeV/c, 10 10 p/s,
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was done in the interval ”−t”
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If we admit a non-zero quark transv
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which is trivial in collinear LO ap
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In figure 3 the expected errors on
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[12] A. V. Efremov and O. V. Teryae
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Figure 1: The COMPASS spectrometer.
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Comparing this formula to the inclu
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Figure 5: Comparison of COMPASS inc
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[9] B. Adeva et al. (SMC Coll.), Ph
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q T sin( φ-φ ) M AUT 0.14 0.12 0.
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proton beam is planned. References
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Run Year √ s (GeV) Polarization R
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ackground fraction, and asymmetry i
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At √ s = 200 GeV, ALL(pp → π
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[6] D. de Florian, W. Vogelsang, an
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higher energies, where the cross se
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Figure 3: The experimental results
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kinematic range to low values of Bj
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3 Semi-Inclusive DIS Collins and Si
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Unpolarized target asymmetries. The
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4 Summary Since the end of data-tak
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polarization as well as a construct
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Finally the COMPASS reconstruction
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tained in the NLO QCD approximation
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with only modern NN potential are r
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(a) (b) Figure 3: (a) T20 data take
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of electroproduction from polarized
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As is seen in Fig. 1 values of the
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SEMI-INCLUSIVE DIS AND TRANSVERSE M
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The yellow band in Fig. 1 is the re
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At leading twist, a third asymmetry
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THE COMPLETION OF SINGLE-SPIN ASYMM
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A N , % 30 20 10 0 0 0.2 0.4 0.6 0.
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Unexpectedly large single spin asym
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THE GENERALIZED PARTON DISTRIBUTION
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, E) H ~ (H, I Im C 5 4 3 2 1 Q = 1
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Reducing to a common denominator (
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LAMBDA PHYSICS AT HERMES S. Belosto
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analysis was carried out reconstruc
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SPIN PHYSICS AT NICA A. Nagaytsev J
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original software packages (MC simu
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MEASUREMENTS OF TRANSVERSE SPIN EFF
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to “near-side” and “away-side
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THE FIRST STAGE OF POLARIZATION PRO
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In paper [12] the study was made of
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emphasis to increase the statistics
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Table 2: The parameters of the main
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POLARIZATION MEASUREMENTS IN PHOTOP
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With a polarized electron beam inci
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Figure 3: Preliminary helicity asym
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INVESTIGATION OF DP-ELASTIC SCATTER
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framework with the use of deuteron
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SPIN PHYSICS WITH CLAS Y. Prok 12,
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1.3 Flavor Decomposition of the Hel
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Γ p 1 0.15 0.125 0.1 0.075 0.05 0.
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The upcoming energy upgrade of Jeff
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y the nearly 1000 combined citation
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� R = −Pt/Pl τ(1 + ε)/2ε; he
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4 Results of GEp-III Experiment In
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6 Theoretical Developments The earl
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lz = 0 (along the direction of the
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models have recently been challenge
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[32] Chung P. L. and F. Coester, Ph
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48 ± 3% for two beams. The proton
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is constant with cos θ∗ , as exp
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In summary, we made measurements on
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angle between the direction of the
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The sensitivity of the data to the
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COMPASS could be converted into a f
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3.1.2 Beam charge and spin asymmetr
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contributions enter only beyond lea
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References [1] D. Mueller et al, Fo
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l’ l p q p h H (z) 1 h (x) 1 l l
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3. Data selection. The data selecti
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φ sin3 a 0.06 0.04 0.02 0 -0.02 -0
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TRANSVERSE SPIN AND MOMENTUM EFFECT
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model. Both the cos φh and the cos
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D cos φ A 0 -0.1 -0.2 -0.3 + h -2
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4.3 The Sivers asymmetry According
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[3] A. Airapetian et al. [HERMES co
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2. Delta-Sigma Experimental Set-up.
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6. Estimate of the count rate in tr
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2 Analysis Formalism Spin-dependent
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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
Page 374 and 375: The differential cross section of t
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Page 382 and 383: is recorded, a good particle identi
Page 384 and 385: error of the extracted asymmetries
Page 386 and 387: 2.6 Summary and Outlook The first d
Page 388 and 389: 386
Page 391 and 392: PROTON BEAM POLARIZATION MEASUREMEN
Page 393: N A 0.06 0.05 0.04 0.03 0.02 0.01 0
Page 396 and 397: Intensity profile (arb. units) 1 0.
Page 398 and 399: [4] H. Okada et al., Proc. of the 1
Page 400 and 401: The amplitudes of the signals and t
Page 402 and 403: The following results has been obta
Page 404 and 405: interaction vanishes and a single Z
Page 406 and 407: an amorphous NH3 for low and high,
Page 408 and 409: and depends on a choice of � ℓ1
Page 410 and 411: 3 The conditions for transparent sp
Page 412 and 413: where angles α and β are defined
Page 414 and 415: forward angles, where vector Ay and
Page 416 and 417: espectively. The open symbols repre
Page 418 and 419: RF dipole (transverse B): εBdl = 1
Page 420 and 421: i PV / PV i PV / PV 1 0.5 0 -0.5 -1
Page 422 and 423: The energies of the states Ψ1 −
Page 426 and 427: econstruction provide more accurate
Page 428 and 429: y detector saturation from pC colli
Page 430 and 431: 2 �p+ 8 He analyzing power measur
Page 432 and 433: 3.3 Effect of valence neutrons on s
Page 434 and 435: i.e. n0(θ +2π) =n0(θ) . There ar
Page 436 and 437: w and ˙ɛ. For example, we use par
Page 438 and 439: 436
Page 441 and 442: REGULARIZATION OF SOURCE OF THE KER
Page 443 and 444: The corresponding phase transition
Page 445 and 446: ABOUT SPIN PARTICLE SOLUTION IN BOR
Page 447 and 448: where the functions fi(s, η) must
Page 449 and 450: SPINDYNAMICS I.B. Pestov JINR, 1419
Page 451 and 452: State of hadron matter is defined t
Page 453 and 454: REMARK ON SPIN PRECESSION FORMULAE
Page 455 and 456: It is easy to see that for a (massi
Page 457 and 458: DYNAMICS OF SPIN IN NONSTATIC SPACE
Page 459 and 460: Schwinger gauge. Probably for the f
Page 461 and 462: DSPIN-09 WORKSHOP SUMMARY Jacques S
Page 463 and 464: to some preliminary results reporte
Page 465 and 466: A new measurement of the polarizati
Page 467 and 468: new NLO QCD parametrization of the
Page 469: Name (Institution, Town, Country) E
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References - Bogoliubov Laboratory of Theoretical Physics - JINR

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