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    User name X. Zheng

    Log entry time 07:18:24 on June23,2001

    Entry number 64237

    keyword=x=0.6, asymmetry

    kinematics, x=0.6, June 23

    ----------------------
    (1) transverse:
    beam L/2// Target// left total N// left arm Araw// right total N// right arm Araw
    IN // 270 // 6178 // -0.00272706 // 5904 // 0.00560029
    OUT //270 // 7649 // -0.0182585 // 7273 // -0.018001

    combine beam L/2 = IN and OUT:

    N_L=13827, Araw_L = - 0.011319 +/- 0.00850
    N_R=13177, Araw_R = + 0.012444 +/- 0.00871

    From delta asymmetry runs #1455, 1456, 20455, 20456; with beam L/2 = IN,
    left arm has positive asymmetry Adelta_L>0, right arm has Adelta_R<0; From existing
    data (e94010) delta transverse asymmetry is positive. So left arm has positive
    sign @ beam L/2 = IN.
    (Although there is discrepancy between this analysis and the one Alexandre did,
    we are confident about the signs of transverse asymmetry for both arms.

    Then A_perp(raw) = -0.011868 +/- 0.006085, total N = 27004;

    ----------------------
    (2) longitudinal:
    beam L/2// Target// left total N// left arm Araw// right total N// right arm Araw
    OUT // 0 // 18058 // -0.0179492 // 17250 // -0.0083973
    IN // 0 // 19701 // -0.00541846 // 18893 // -0.0119434
    IN // 180 // 8667 // 0.00758482 // 8098 // -0.00725716
    OUT // 180 // 4638 // -0.0164883 // 3855 // -0.0268973

    Target polarization @ 180 is 35%, @ 0 degree is 37%. If raw asymmetries are corrected/
    normalized to 37%, then combined together, we will have:

    left: Araw_L = -0.001304 +/- 0.00435
    right: Araw_R = 0.002667 +/- 0.00456

    where the sign of configuration "beam L/2 = OUT, target @ 0 degree" is temporarily defined
    as positive.

    Combine left and right arm results together, we have:

    A_parallel(raw) = 0.0053715 +/- 0.003147

    From 3he elastic asymmetry studied by Alexandre, (entry # 63133), configuration of
    "beam half waveplate OUT + field 0 degree" should have the positive sign.

    ---------------------
    (3) Extract A1:
    A1(3he) = alpha * A_parallel - beta * A_perp
    At x=0.6, alpha = 2.5554, beta = 0.5628,
    A_perp/parallel = A_raw / (P_b*P_*f)

    Beam polarization 80%, target 41%, f = 0.95 are used for transverse running;
    target 37% is used for field @ 0 degree;
    target 35% at field 180 degrees is corrected by normalizing target polarization.

    Finally we have:

    A1(3he) = 0.068536
    A1n = 3 * A1(3he) = 0.205608;

    statistical error:
    deltaA1(3he) = sqrt(alpha**2/N_parallel + beta**2/N_perp)/(P_b*P_t*f) = 0.02875
    deltaA1n(stat.) = 3 * deltaA1(3he)(stat.) = 0.086246.