References - Bogoliubov Laboratory of Theoretical Physics - JINR

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w and ˙ɛ. For example, we use parameters of VEPP-2M storage ring (E=700 MeV). The initial polarization is always ζ(0) = 1. Fig.3 shows three curves ζ(t) versus ɛ(t) for different RF resonance amplitudes and spin tune spreads but for the same crossing rate ˙ɛ · f0 = 400 Hz/sec: (solid line) w =1· 10 −5 ; σν =3· 10 −7 ; (dotted line) w = 4 · 10 −5 ; σν =1· 10 −6 ; and (dashed line) w =1· 10 −4 ; σν =3· 10 −6 . These calculations demonstrate clearly the influence of the spin diffusion and spin tune spread. Even increasing the RF amplitude by ten times does not help to avoid some depolarization, when the spin tune spread grows up to three times (compare curves in Fig.3). So, using such ”simulations”, it’s possible to choose RF device parameters for successful spin flip. Moreover, the measurement of a residual polarization in the case of a reasonable polarization loss appears as a way to measure the spin tune spread and minimize it, if that is necessary. [14] It’s interesting also to study the opposite case of a small RF amplitude. Fig.4 presents three other curves, where we fixed the spin tune spread σν =1· 10 −6 and the crossing rate ˙ɛ · f0 =2Hz/sec, but changed the amplitude w: (solid line) w =2· 10 −7 ; ( dotted line) w =5· 10 −7 and (dashed line) w =1· 10 −6 .Onecan see from Fig.4 the resonant depolarization by the RFfield. Decreasing the RF power provides a measurement of the spin tune with accuracy up to its spread σν. In turn, the spin tune determination is simultaneously the absolute mean energy measurement, since the magnetic anomalies are well known. [13] For instance: ae =1.159652193 × 10 −3 . Figure 3: Spin flip by RF. Figure 4: Resonant depolarization Beam energy calibration has been routinely used at electron-positron colliders in precise experiments for secondary particle mass measurements. [15] The coherent spin rotation by 90 degrees and full spin flip were crucially important at VEPP-2M in the experiment for electron and positron anomalous magnetic moments comparison. [16] Figure 5: |F3| along the COSY orbit for protons and deuterons. 434
Till now, RF spin flip has been studied for protons and deuterons at the IUCF storage ring (see, for instance [17]) and at the synchrotron COSY. [18]. At first, the authors pointed out spin flip by RF-fields was going, as a rule, with very low polarization losses (≪ 10 −2 per pass). At both machines the experiments were carried out with RF-solenoids and RF-dipoles and the authors claimed to find “unexpected discrepancies” between the measured values and ”the theoretical expressions for the spin flip resonance widths”. However, recent analysis of the COSY data, based on the formalism of the spin response functions, has found an amazing accordance of the experiment and the theory as for both kinds of the flippers, for both types of particles. [8] The main reason for the“unexpected discrepancies”is explained by Fig.5, which presents results of ASPIRRIN calculations of |F3| values along the COSY orbit for protons and deuterons, that are distinguished in more than 1000 times in the point of the RF flipper. References [1] A.A.Polunin, Yu.M.Shatunov, Preprint BINP 82-16, (1982). [2] V.Bargman, L.Michel, V.L.Telegdi, Phys.Rev.Lett., 2, (1959) 435. [3] Ya.S.Derbenev, A.M.Kondratenko, A.N.Skrinsky, Sov.Phys.Doklady192,1255 (1970). [4] Ya.S.Derbenev, A.M.Kondratenko, A.N.Skrinsky, JTEP, 60, (1971) 1216. [5] Ya.S.Derbenev, A.M.Kondratenko, Sov.Phys.JTEP, 37 (1973) 968. [6] Ya.S.Derbenev, A.M.Kondratenko, Part.Acc, 8 (1978) 115. [7] E. A. Perevedentsev, Yu. M. Shatunov and V. Ptitsin, Proc. of SPIN02, 761, (2003) [8] Yu. M. Shatunov and S. R. Mane, Phys.Rev.ST Accel.Beams 12:024001 (2009) [9] Yu.M. Shatunov, S.R. Mane, V.I. Ptitsyn, AIP Conf.Proc.1149:813-816,2009. [10] V.Ptitsyn, Ph.D.Theses, BINP, Novosibirsk (1997). [11] Ya.S.Derbenev, A.M.Kondratenko, A.N.Skrinsky, Preprint BINP 77-60, (1977). [12] M.Froissart, R.Stora, NIM, 7 (1960) 297. [13] Ya.S.Derbenev et al., Part.Acc., 10 (1980) 177. [14] I.A.Koop et al., Proc. of SPIN-88, 1023, (1988) [15] Yu.M.Shatunov, A.N.Skrinsky, Sov.Phys.Uspekhi, 32(6), 548, (1989) . [16] I.B.Vasserman et al., Phys.Lett. B198 (1987) 302. [17] B. B. Blinov et al., Phys.Rev.ST Accel.Beams, 104001, (2000) [18] A. D. Krisch et al., Phys.Rev.ST Accel.Beams, 071001, (2007). 435
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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
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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
Page 386 and 387: 2.6 Summary and Outlook The first d
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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,
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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 424 and 425: field P ≈ +1. If we add the trans
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
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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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