Longitudinal Spin Transfer of in Polarized pp Collisions at 200 GeV
description
Transcript of Longitudinal Spin Transfer of in Polarized pp Collisions at 200 GeV
Qinghua Xu, LBNL 1
Longitudinal Spin Transfer of in Polarized pp Collisions at 200 GeV
Qinghua Xu, LBNL
for the STAR Collaboration
SPIN 2006, Oct 6, 2006
)(ΛΛ
• Motivation
• Proof-of-principle analysis at low pT with STAR
• Preliminary results for DLL in inclusive production
• Summary and outlook
)(ΛΛ
Qinghua Xu, LBNL 2
Why study ?
• Due to its self-analyzing weak decay, Λ polarization has been widely studied in different processes with many interesting results (following talks).
)(ΛΛ
decay parameter 0.642 0.013
)ˆ( 1d
dNppP ⋅+∝
Ω Λ
rα Unit vector along proton mom
entum in Λ rest frame.
Λ polarization vector
• What can we learn from polarization with polarized pp collider at RHIC?
)(ΛΛ
Qinghua Xu, LBNL 3
How sensitive is anti-Lambda DLL
to
• Longitudinal spin transfer in polarized proton-proton collisions:
• contains a strange quark, can it provide sensitivity to
?ss ΔΔ or
What can we learn with in polarized pp collisions ?
€
DLL ≡σ
p + p →Λ+X−σ
p + p →Λ−X
σp + p →Λ+X
+ σp + p →Λ−X
,
)(ΛΛ
Λ
?sΔ
ΛΛ &
measures the transfer of beam polarization to hyperon.
fraction production
fΔ DΔ
Δ
Λ production is expected to be dominated by u quark, while s_bar plays a dominate role for production at large pT!
Λ
[GeV]
)(ΛΛ
PYTHIA
€
s = 200 GeV
Qinghua Xu, LBNL 4
• Anti-Lambda DLL may give new insights into at high pT!sΔ
1)(PRD63,200 GRSV2000
standard
valence
Q2=5 GeV
-0.090.02 (Inclusive DIS)
0.010.03 (Semi-inclusive
DIS-HERMES)
GeV 8
GeV 200
>=
Tps
Q. X, E. Sichtermann, Z. Liang, PRD 73,2006
Pol. frag. func. model
x
models sΔ
:ss Δ+Δ
• Spin transfer of in pp collisionΛ
€
xΔs (x)
Qinghua Xu, LBNL 5
XppXpp
XppXppLLD
−+++
−+++
Λ→Λ→
Λ→Λ→
+
−≡
σσσσ
XppXpp
XppXppLLA
Λ→Λ→
Λ→Λ→
−+++
−+++
+
−≡
σσσσ
• Spin transfer versus double spin asymmetry
• DLL is ~ 4X more sensitive to than ALL.
• ~0.01 measurement will distinguish parameterizations.
sΔsΔ
models s with ΔLLA
models s with ΔLLD
standard GRSV00 valenceGRSV00
0<<1 for DLL
-1<<1 for ALL
[GeV]
Qinghua Xu, LBNL 6
RHIC- the first polarized pp collider
AGS Heclical Partial Snake
Stable polarization direction - transverseLongitudinal polarization at STAR/Phenix
4 spin orientations:++,+-,-+,--
Qinghua Xu, LBNL 7
STAR Detector
• primary vertex
p
V0_vertex
V0_DCA
Λ
rr
• is reconstructed by combining TPC tracks with opposite charges after particle identification from energy loss and applying topological cuts.
TPC
−π
)(ΛΛ
(-1.6<<1.6)
Qinghua Xu, LBNL 8
• 2005 data: ~3 pb-1, ~50% beam polarization ~3X106 minimum bias events, ~30X103 (24X103) analyzed.)(ΛΛ• Invariant mass & kinematics
M=1.1157 GeV(PDG)
Λ
Λ
nucl-ex/0607033, submitted to PRC
• Cross section of reasonably described by pQCD.
Λ+Λ
<pT>~1.3 GeV<|xF|>~0.0075
Qinghua Xu, LBNL 9
Method to extract DLL
• Λ polarization is usually extracted from the momentum distribution of its weak decay ( ):
: decay parameter: 0.642A(cos): detector acceptance after integrating over momentum space
12 )cos)((cos Λ+= PAdN totN
−→Λ πp: angle between the momentum of decay proton in Λ’s rest frame and Λ’s momentum at the lab frame
• PΛ() in inclusive pp reaction change its sign when flipping beam helicity, due to parity conservation: )()( +
Λ−Λ −= PP
• Asymmetry between Λ counts with opposite polarization within : [1,2]:
2
coscos
)()(
)()( 21 +⋅≈
−+−−
ΛΛΛ
ΛΛ PPNPNPNPN
€
N(P) = N0A(cosθ)(1+ αPΛ cosθ)d cosθθ1
θ 2
∫ ⎛
⎝ ⎜ ⎜
⎞
⎠ ⎟ ⎟
−+
−+
−−
⋅><⋅
=NN
NN
PD
beamLL θα cos
1−−+−−
−++++
+=
+=
+−
−−
−+
−−
++
−−
NNN
NNN
LL
LL
LL
• Equation to extract DLL:
Qinghua Xu, LBNL 10
Signal and Background
• Subtracting bg. contribution to DLL
• Background from K0s: --- a cut of cos<-0.2 applied.
sK0
%60
rawLLDbkg
LLD
r: fraction of background under the peak
r
rDDD
bkgLL
rawLLsig
LL −−
=1
1)
r
DrDD
bkgLL
rawLLsig
LL −−
=1
222 δδδ
)() _bkgsiderawLL NND − 2
Qinghua Xu, LBNL 11
€
DLL (N raw − N side _ bkg ) : 0.092 ± 0.081
€
DLLsig = (DLL
raw − rDLLbkg ) /(1− r) : 0.094 ± 0.077
• Comparison of DLL with two methods:
• Time stability of DLL:
# fill
Qinghua Xu, LBNL 12
Results of DLL :
• Positive is along the polarized beam direction. • Statistical uncertainty is ~0.05, systematic < 0.01.
<pT>~1.3 GeV<|xF|>~0.0075
Systematic error
€
---scale uncertainty from beam polarization measurement not included.
Qinghua Xu, LBNL 13
Systematics:• 4X10-3 from relative luminosity measurement.• 2% from decay-parameter (0.6420.013).• 2% from transverse beam polarization components at STAR.• +17% scale uncertainty from RHIC beam polarization measurement.
Cross check with K0s:
• K0s are spin-0 meson -> null measurement.
• reconstruction/analysis similar to (anti)Lambda.
• Statistical error is ~1/5 of (anti)Lambda’s DLL.
# fill
K0s: 0.010.01
δL
L/Pb
eam
Qinghua Xu, LBNL 14
Summary
• Spin transfer DLL for anti-Lambda in proton collisions is sensitive to at large pT (pT > ~6 GeV/c)
• Proof of principle analysis from 2005 minimum bias data
sΔ
<pT>~1.3 GeV<|xF|>~0.0075
Systematic error
---scale uncertainty from beam polarization measurement not included.
Qinghua Xu, LBNL 15
• Triggering is needed to efficiently reach high pT.
• In 2005, we collected most of the data with a jet-patch trigger and the projected precision is:
• Considering dedicated trigger development, and
looking forward to high-luminosity running periods.
Outlook
1.6 pb-1 of BJP20<<1
Λ
Qinghua Xu, LBNL 16
Backup slides
Possible dedicated trigger for high pT anti-Lambda:
• Different pre-shower response to anti-proton in electromagnetic calorimeter than photon
• Triggering on high pT pion with muon trigger
• Higher level trigger on distribution of invariant mass versus momentum ratio of proton and pion
Qinghua Xu, LBNL 17
Invariant mass distribution of Λ in different pT range (BJP)
Qinghua Xu, LBNL 18
(anti)Lambda counts versus pT with BJP2 trigger of 2005
Qinghua Xu, LBNL 19
Decay contribution to anti_Lambda production in pp
Qinghua Xu, LBNL 20
Λ