Transcript Slajd 1
STAR Односпиновая асимметрия в образовании π0мезонов в области фрагментации поляризованного протонного пучка на установке СТАР в Брукхейвене Л.Ногач, ИФВЭ, Протвино the STAR Collaboration 1 Motivation • Contrary to simple pQCD predictions, first measurements of production in p↑p collisions found large transverse single-spin asymmetries. Similar large effects have recently been found in e+e- and semiinclusive deep-inelastic scattering. • Significant developments in theory in the past few years suggest common origins for these effects, but large transverse spin asymmetries in p↑+p → + X production are not yet fully understood. 2 Possible mechanisms • Sivers effect [Phys. Rev. D 41, 83 (1990); 43, 261 (1991)]: Flavor dependent correlation between the proton spin (Sp), proton momentum (Pp) and transverse momentum (kT) of the unpolarized partons inside. The unpolarized parton distribution function fq(x,kT) is modified to: • Collins effect [Nucl. Phys. B396, 161 (1993)]: Correlation between the quark spin (sq), quark momentum (pq) and transverse momentum (kT) of the pion. The fragmentation function of transversely polarized quark q takes the form: According to the latest theoretical developments, both mechanisms 3 contribute to AN RHIC Polarized Collider RHIC pC Polarimeters BRAHMS & PP2PP Absolute Polarimeter (H jet) PHOBOS Siberian Snakes Siberian Snakes PHENIX STAR Spin Rotators (longitudinal polarization) Spin Rotators (longitudinal polarization) Pol. H Source LINAC BOOSTER Helical Partial Siberian Snake 200 MeV Polarimeter AGS AGS pC Polarimeter Strong AGS Snake 1 MHz collision rate Polarization ~ 0.5-0.6 4 STAR detector layout Forward Meson Spectrometer • • • • • TPC: -1.0 < < 1.0 FTPC: 2.8 < < 3.8 BBC : 2.2 < < 5.0 EEMC: 1 < < 2 BEMC: -1 < < 1 FPD/FPD++: ~ -3.7/3.3 FPD/FMS: ~ -4.1/2.5-4.0 1/2 of the FMS 5 Transverse spin runs at STAR with forward calorimetry: 2001→2008 run/year Run2 Run3 2001-2002 Run5 Run6 Run8 2008 detector EEMC and FPD prototypes 6 matrices of FPD full FPD (8 matrices) East FPD West FPD++ East FPD FMS ~15 ~30 ~45 ~55 ~45 0.15 0.25 0.1 6.8 ~7.8 3.8 ±3.3/±4.0 ±3.7/±4.0 -3.7/3.3 -4.1/ 2.5-4.0 Pbeam, % sampled Ldt , pb η 1 6 Single Spin Asymmetry • Definition: AN d d d d Two methods of measurements: • Single arm calorimeter: AN dσ↑(↓) – differential cross section of when incoming proton has spin Pbeam N RN N RN R L L R – relative luminosity (by BBC) Pbeam – beam polarization up(down) Left π0, xF<0 1 π0, xF>0 • Two arm (left-right) calorimeter: p p Right positive AN: more 0 going left to polarized beam N N N N L R R L AN PBeam N N N N L R R L 1 No relative luminosity needed 7 Detectors – from FPD to FMS Run8 and beyond: FMS • FMS provides full azimuthal coverage for Runs 3-6: FPD, FPD++ range 2.5 4.0 • broad acceptance in xF-pT plane for 0 • Inclusive cross sections in p+p and inclusive g, ,… production ,w,K 0 d(p)+Au N • A for inclusive production • broad acceptance for g and from forward jet pairs three different positions of modular detectors 20x single more monolithic acceptance then previous detectordetectors 8 Published measurements with FPD PRL 92, 171801 (2004) PRL 101, 222001 (2008) • Large transverse single-spin asymmetries at large xF • xF dependence matches Sivers effect expectations qualitatively • pT dependence at fixed xF is not consistent with 1/pT expectation of theoretical √s=200 GeV,model <η> = calculations 3.8 Asymmetry revealed at lower energies persists at √s=200 GeV 9 Run8 data analysis calibration • the calibration methodologies employed for the FPD have been successfully adapted to the FMS • offline cell-by-cell calibration using π0 peak position in the sorted by high tower mass distributions Event selection done with: minbias condition hightower ADC threshold (400/200 cts. for small/large cells) Ng 2 0.07 mgg 0.2 GeV/c 2 z gg | Eg 1 Eg 2 | ( Eg 1 Eg 2 ) 0.7 (for small cells only) fiducial volume cut (0.5 cell) 10 LED monitoring system Minimal time dependence in π0 peak position is observed LED system: critical calibration tool Calorimeter stable at the level of a few percents 11 Data to simulations comparison • Full PYTHIA/GEANT simulations have adequate statistics to reach moderate xF • Mass resolution in data is reasonable, given Run6 FPD performance • Simulations have somewhat better resolution than data DATA SIMULATION Present understanding sufficient; further investigations to be done 12 First look at π0 AN from Run8 data STAR preliminary 75% of Run8 data Octant subdivision of FMS for inclusive spin sorting stat.errors only • AN comparable to prior measurements • Azimuthal variation appears to be as expected 13 Summary • High precision AN measurements with the FPD allows for a quantitative comparison with theoretical models. • FMS was commissioned and fully operated in Run8. It has 20x the acceptance of FPD (1264 channels compared to 98 for the pair of FPD modules). • Reconstruction and calibration procedures successfully ported from FPD to FMS. • Calibration is completed and data show good agreement with the simulated sample of events. • Inclusive 0 AN(xF) from the FMS is in agreement with the FPD measurements. 14 Outlook Complete analysis of π0 asymmetry Going beyond π0 detection: - AN for a state that contains 0 pairs - AN for states with heavier mesons (η, ω, J/ψ…) - direct photons, “jet-like” events – can help to discriminate between Sivers and Collins effects 15 BACKUP 16 π0 cross section measurements PRL 97, 152302 (2006) Cross-section is consistent with NLO pQCD calculations; it was used in a recent global analysis of e+e-, SIDIS and pp data to determine fragmentation functions [PR D76, 074033 (2007)] 17 Separating Sivers and Collins effects Sivers mechanism: asymmetry in the forward jet or γ production SP Collins mechanism: asymmetry in the forward jet fragmentation SP kT,q p p p Sensitive to proton spin – parton transverse motion correlations p Sensitive to transversity Sq To discriminate between the two effects we need to go beyond π0 detection to direct photons or jet-like events kT,π 18 Energy dependent corrections • π0 peak position depends on the energy • linear correction extracted from π0 peak position and being applied to photon energies works for both π0s and ηs, and significantly decreases shift from zero in δEγγ = Esimu Ereco. 19 Association analysis • comparison of generated quantities to GEANT simulations • we consider Egg Egg ,sim Egg , gen UNCORRECTED CORRECTED Eliminating energy dependence in mass peak gives the correct average neutral pion energy 20 Simulation and search algorithm for π0π0 in FMS and its engineering prototype • it is possible to find events where the π0 pair originated at a significant distance from the vertex • one source of such events are decays KS→π0π0 (31% branching fraction) • plot shows the mass distribution for displaced vertices above 100 cm from the BBC vertex; a pronounced KS mass bump is visible 21