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SSA in BRAHMS. Preliminary Results on p ,K,p Transverse Single Spin Asymmetries at 200 GeV and 62 GeV at high-x F. J.H. Lee (BNL) for BRAHMS Collaboration. Sep. 29 th 2006 RHIC-SPIN Collaboration Meeting. Single transverse Spin Asymmetry (SSA): Introduction.
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SSA in BRAHMS Preliminary Results on • p,K,p Transverse Single Spin Asymmetries • at 200 GeV and 62 GeV • at high-xF J.H. Lee (BNL)for BRAHMS Collaboration Sep. 29th 2006 RHIC-SPIN Collaboration Meeting
Single transverse Spin Asymmetry (SSA): Introduction • Large SSAs have been observed at forward rapidities in hadronic reactions: E704/FNAL and STAR/RHIC • SSA is suppressed in naïve parton models (~smq/Q ) • Non-zero SSA at partonic level requires • Spin Flip Amplitude, and • Relative phase • SSA: Unravelling the spin-orbital motion of partons?
Spin and Transverse-Momentum-Dependent parton distributions -”Final state” in Fragmentation (Collins effect), -”Initial state” in PDF (Sivers effect) Twist-3 matrix effects -Hadron spin-flip through gluons and hence the quark mass is replaced by ΛQCD -Efremov,Teryaev (final state) -Qiu,Sterman (initial state) Or combination of above -Ji, Qiu, Vogelsang, Yuan… Challenge to have a consistent partonic description: -Energy dependent SSA vs xF,pT, -Flavor dependent SSA -Cross-section Beyond Naïve Parton Models to accommodate large SSA
BRAHMS measures identified hadrons (p,K,p,pbar) in kinematic ranges of 0<Y<3.5 and 0.2 <pT<4 GeV/c pT dependent SSA in xF 0 - ±0.35 (xF, pT, flavor-dependent AN) Cross-section of hadron production (Theoretical consistency) Data: Run-5: pp at √s = 200 GeV 2.5 pb-1 recorded SSA measurements in BRAHMS at 200 GeV
Measurements at 62 GeV offers an opportunity to address an intermediate energy (RHIC-FNAL) to clarify to what degree the SSA are describable by pQCD, or is a ‘soft’ physics effect. pT dependent SSA in xF 0 – ±0.6 (xF, pT, flavor-dependent AN) Cross-section (not shown today) Data: Run-6: pp at √s = 62 GeV 0.21 pb-1 recorded with polarization at 50-65% (see Vadim’s talk) SSA measurements in BRAHMS at 62 GeV
Determination of Single Spin Asymmetry: AN • Asymmetries are defined as • AN= (s+ - s- )/(s+ + s-) = e /P • For non-uniform bunch intensities e = (N+ /L+ - N-/L-) / (N+ /L+ + N-/L-) = (N+ - L*N-) / (N+ + L*N-) where L = relative luminosity = L+ / L- • and the yield of in a given kinematic bin with the beam spin direction is N+ (up) and N- (down). • The polarization P of the beam was ~50% in the RHIC Run-5 (Blue beam) • Beam polarization P from on-line measurements: • (systematic uncertainty ~18%)
Min-Bias Trigger / Normalization Counter:“CC” (Cherenkov Radiators) • Covers ~70% (~45%) of pp inelastic cross-section 41mb (36 mb) at 200 GeV (62 GeV) • 3.25 < |h|< 5.25 range • Vertex resolution • s(z)~ 1.6cm • Main relative luminosity monitor for SSA analysis
Relative luminosity L = L+ /L- determination • Using CC in spin scaler ±80cm • Consistent with CC recorded in data stream • Relative luminosity calculated by Beam-Beam Counter and CC: < 0.3% • Systematic effect on bunch number dependent beam width: negligible
Particle Identification using RICH Multiple settings • PID for the analysis: Ring Image Cherenkov Counter • p,K identification < 30 GeV/c and proton,pbar > 17 GeV/c with efficiency ~ 97%
Charged Hadron production at Forward vs NLO pQCD BRAHMS Preliminary • NLO pQCD describes data at forward rapidity at 200 GeV • p- ,K+ are described best by mKKP (Kniehl-Kramer-Potter) than Kretzer FF • pbar is described best by AKK (Albino-Kniehl-Kramer) FF (light flavor separated) • (NLO pQCD Calculations done by W. Vogelsang. • mKKP: “modified” KKP for charge separations for p and K)
BRAHMS has obtained particle spectra and single transverse spin asymmetries for p±,K±, p, and pbar in √s =200 GeV pp collisions at RHIC in the xF range of 0.1 to 0.35 Cross-section described by NLO pQCD (with updated/modified FFs) Proton production requires extra production mechanism in addition to fragmentation even at high-pT AN(p+): positive ~(<) AN(p-): negative: 5-10% in 0.1 < xF < 0.3 increasing with xF and decreasing with pT AN(p+) in agreement with Twist-3 calculations First SSA Results on K, p in 0.1 < xF < 0.3 - AN(K+) ~ AN(K-): positive - AN(p) ~0, AN(pbar): positive AN(K) in disagreement with naïve expectation of small sea quark polarization. Lack of understanding of p, pbar polarization: Need more theoretical inputs. Summary at DIS2006
<pT> vs xF (200 GeV) at 2.3 and 4 deg with various field settings
BRAHMS FS Acceptance at 2.3 deg. and 4 deg./Full Field (7.2 Tm) 4deg. 2.3deg. • Strong xF-pT correlation due to limited spectrometer solid angle acceptance
Twist-3 calculation provide by F. Yuan - Kouvarius, Qiu, Vogelsang, Yuan - “Extended” with non-derivative terms (“moderate” effects at BRAHMS kinematics) - Two flavor (u,d) and valence+sea+antiquarks Fits Sivers effect calculation provided by U. D’Alesio - Anselmino, Boglione, Leader, Melis, Murgia “Sivers effect with complete and consistent kT kinematics plus description of unpolarized cross-section” (Details: Talks at this afternoon: D’Alesio, Vogelsang) Calculations compared at the BRAHMS kinematic region
AN(p) at 2.3 deg. at 200 GeV + Twist-3 • Solid line: two-flavor (u, d) fit • Dashed line: valence + sea, anti-quark • Calculations shown only for pT(p) > 1 GeV/c
BRAHMS measures AN of identified hadrons at 62 GeV and 200 GeV Large SSAs seen for pions and kaons Suggesting: - Sivers mechanism plays an important role. - described (qualitatively) by Twist-3 - main contributions are from leading (favored) quarks - power-suppression 1/pT set the scale Questioning: - where the large positive AN(K-) come from then? - Sea quark contributions not well understood: AN(K-) and AN(pbar) - how well pQCD applicable at 62 GeV (cross-sections at 62 GeV will be delivered) - what can (not) be learned from AN at pT < 1 GeV/c - AN(-xF) ~ 0 set limits on Sivers-gluon contribution? - can AN (p, pbar) be described in the consistent framework? We plan to finalize the SSA analysis (+ cross-section analysis) in the next few months Summary
“Despite the conceptual simplicity of AN, the theoretical analysis of SSA of hadronic scattering is remarkably complex.” (hep-ph/0609242) Looks like theorists are having all the fun. Enjoy!