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Spin Dependent Structure Function
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The spin-dependent structure function g1(x) of the deuteron from polarized deep-inelastic muon scattering.

The Spin Muon (SMC) collaboration Adams, D. ; Adeva, B. ; Akdogan, T. ; et al.
Phys.Lett.B 396 (1997) 338-348, 1997.
Inspire Record 440053 DOI 10.17182/hepdata.47513

We present a new measurement of the spin-dependent structure function g 1 d of the deuteron from deep inelastic scattering of 190 GeV polarized muons on polarized deuterons. The results are combined with our previous measurements of g 1 d . A perturbative QCD evolution in next-to-leading order is used to compute g 1 d ( x ) at a constant Q 2 . At Q 2 = 10 GeV 2 , we obtain a first moment Γ 1 d =∫ 1 d g 1 d d x =0.041±0.008, a flavour-singlet axial charge of the nucleon a 0 = 0.30 ± 0.08, and an axial charge of the strange quark a s = −0.09 ± 0.03. Using our earlier determination of Γ 1 p , we obtain Γ 1 p − Γ 1 m = 0.183 ± 0.035 at Q 2 = 10GeV 2 . This result is in agreement with the Bjorken sum rule which predicts Γ 1 p − Γ 1 n = 0.186 ± 0.002 at the same Q 2 .

6 data tables
Table 1

Measurements of the transverse virtual photon asymmetry A2. Statistical errors only.

Table 2

The virtual-photon deuteron cross section asymmetry A1 from the combined SMC data. Statistical errors only.

Table 3

The spin dependent structure function G1(D).

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Spin structure of the proton from polarized inclusive deep-inelastic muon proton scattering.

The Spin Muon (SMC) collaboration Adams, D. ; Adeva, B. ; Arik, E. ; et al.
Phys.Rev.D 56 (1997) 5330-5358, 1997.
Inspire Record 440355 DOI 10.17182/hepdata.47485

We have measured the spin-dependent structure function $g_1~p$ in inclusive deep-inelastic scattering of polarized muons off polarized protons, in the kinematic range $0.003 < x < 0.7$ and $1 GeV~2 < Q~2 < 60 GeV~2$. A next-to-leading order QCD analysis is used to evolve the measured $g_1~p(x,Q~2)$ to a fixed $Q~2_0$. The first moment of $g_1~p$ at $Q~2_0 = 10 GeV~2$ is $\Gamma~p = 0.136\pm 0.013(stat.) \pm 0.009(syst.)\pm 0.005(evol.)$. This result is below the prediction of the Ellis-Jaffe sum rule by more than two standard deviations. The singlet axial charge $a_0$ is found to be $0.28 \pm 0.16$. In the Adler-Bardeen factorization scheme, $\Delta g \simeq 2$ is required to bring $\Delta \Sigma$ in agreement with the Quark-Parton Model. A combined analysis of all available proton and deuteron data confirms the Bjorken sum rule.

11 data tables
Table 1

Data for Q**2 > 1 GeV**2.

Table 2

Data for Q**2 > 0.2 GeV**2.

Table 3

Statistical errors only.

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The Present status of the nucleon spin structure functions

The Spin Muon collaboration Horikawa, N. ;
Nucl.Phys.A 577 (1994) 313C-318C, 1994.
Inspire Record 386219 DOI 10.17182/hepdata.36532

SMC is progressing a series of experiments to reveal the spin structure of nucleon at CERN. The first experiment on deuteron has been performed in 1992. We will report here the data on deuteron and discuss the present status of nucleon spin structure using all data including SMC and also E142(SLAC) data recently reported.

1 data table
Table 1

First moment of the spin-dependent structure function G1.