J-PARCでの ニュートリノ弾性散乱によるΔs測定 Proton Spin Problem and Δs

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J-PARCでの ニュートリノ弾性散乱によるΔs測定 Proton Spin Problem and Δs 2006年日本物理学会秋季大会、奈良女子大学、20pSD-9 J-PARCでの ニュートリノ弾性散乱によるΔs測定 東工大理,KEKA,RCNPB  宮地義之,小六泰輔,齊藤直人A,坂下耕一, 酒見泰寛B,柴田利明,武居秀行 NeuSpin study group Proton Spin Problem and Δs SU(3) flavor symmetry Neutrino Scattering and Δs E734 Experiment at J-PARC Summary

Proton spin problem and Δs - EMC results - Nucl. Phys. B328 (1989) 1, Phys. Lett. B206 (1988) 364 Polarized DIS:    𝑁  ′𝑋 𝑃=𝑀,0 𝑞𝑥, 𝑄 2 ,𝑞𝑥, 𝑄 2  𝐹 𝑖 𝑥, 𝑄 2 , 𝑔 𝑖 𝑥, 𝑄 2  Structure Function Parton Distribution X m 0 1 𝑑𝑥 𝑔 1 𝑝 𝑥= 1 9 𝑎 0  1 12 𝑎 3  1 36 𝑎 8 =0.126±0.01±0.015 𝑎 3 =1.26, 𝑎 8 =0.58 𝑎 0 ~0.1 s~−0.19

SU(3) violation and impact on Ds From Yamanishi's talk @ JPS meeting (March 28, 2006)  1 𝑝 =0.126±0.01±0.015 SU(3) breaking s=−0.185±0.054 SU(3) symmetry s=−0.256±0.054 cQM calculation: (X. Song et. al, Phys. Rev. D55 (1997) 2624-2629) SU(3) symmetry: Ds = -0.1 SU(3) breaking: Ds = -0.05

Strangeness spin inside proton - HERMES results - 𝑒   𝑁  𝑒′ℎ𝑋 Phys. Rev D 71 (2005) 012003  𝑠  𝑥=0assumed assuming Δq(x)=0 𝑞= 0.023 0.6 𝑑𝑥 𝑞𝑥 𝑄 2 =2.5 GeV 2 𝑢=0.601±0.039±0.049 𝑑=−.226±0.039±0.050  𝑢  =−.002±0.036±0.023  𝑑  =−.054±0.033±0.011 𝑠=0.028±0.033±0.009 - without SU(3) symmetry assumption - only partial moments are available

Neutrino scattering and s - E734 results - Neutral current elastic scattering cross section Liquid scintillator + Drift Tube 170 t 0.5E19 POT for neutrino 2.5E19 POT for anti-neutrino From GAs(Q2) to s Further analysis based on E734 E734, Phys. Rev. D35 (1987) 785 𝐺 𝐴 s  𝑄 2 0=s=−0.21±0.10 𝑅 𝑁𝐶 𝐶𝐶  =0.152±0.007±0.017 𝑅 𝑁𝐶 𝐶𝐶   =0.218±0.012±0.023 𝑅 𝑁𝐶    =0.302±0.019±0.037 0.5 𝑄 2 1.0 GeV 2 -0.21 < s < 0 strong correlation with the axial mass MA

J-PARC -beam line Beam flux 1 GeV for “on-axis” < 1GeV for “off-axis” 1021 POT/year (130 days) 30 times BNL-E734 anti-neutrino beam neutrino anti-neutrino asymmetry measurement Expected ν flux (MC data)

Nuclear Effect on s extraction Nuclear effect (ex. C target): Nuclear model uncertainty on Ds extraction R(NC/CC) measurements: Neutrino flux should be canceled. It also suppresses the nuclear effect. Is there any model dependence uncertainty? n-H scattering extraction: Using two targets with different mixture of H and C Separation of n-H and n-C scattering becomes possible Neutrino flux information is needed to extract the cross section.

SciBar detector: K2K, SciBooNE, T2K (NuFact06, H. Tanaka) For Δs measurement: - Difficult to realize dual targets with different H-C mixture. - Non-isotropic detector - R(CC/NC) measuremnet ex.) K2K Data SciBooNE実験の紹介: 20pSD-10

SciBath Detector: FINeSSE Liquid Scintillator FINeSSE Proposal (hep-ex/0402007) - Isotropic detector - Different H:C mixture targets exist: BC501A(H/C~1), BC533(H/C~2) MC NC elastic event

Sensitivity at J-PARC Beam: (using T2K neutrino beam MC data) 1E21 POT, off-axis (2.5°), 280m from the production target Neutrino interaction generator: NEUGEN 3.0 Liquid scintillator dual target: WLS fiber readout Dual 2.5x2.5x2.5 m3 (using BC501A and BC533 ) Detection efficiency from FINeSSE proposal: hep- ex/0402007 Lower Q2 cut-off : 0.1 GeV2 Free from the nuclear effect s=0.03J−PARC Statistical error only. The normalization error is under investigation.

Summary Proton spin problem Δs is a key for understanding of sea quark contribution Neutrino scattering: NC elastic scattering Unique tool for studying Δs (direct access to the first moment) Key points: nuclear effects, Q2 extrapolation to Q2=0, and normalization Measurement at J-PARC: Sensitivity study based on 1E21POT neutrino beam at280m away from the production target Dual SciBath detector (BC501A and BC533) δ(Δs) ~ 0.03 expected (E734: δ(Δs) ~ 0.08) Feasibility of SciBar will be investigated at SciBooNE

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