The Q**2-dependence of the neutron spin structure function g2(n) at low Q**2.

Kramer, K. ; Armstrong, D.S. ; Averett, T.D. ; et al.
Phys.Rev.Lett. 95 (2005) 142002, 2005.
Inspire Record 684137 DOI 10.17182/hepdata.31614

We present the first measurement of the Q^2-dependence of the neutron spin structure function g_2^n at five kinematic points covering 0.57 (GeV/c)^2 <= Q^2 <= 1.34 (GeV/c)^2 at x~0.2. Though the naive quark-parton model predicts g_2=0, non-zero values for g_2 occur in more realistic models of the nucleon which include quark-gluon correlations, finite quark masses or orbital angular momentum. When scattering from a non-interacting quark, $g_2^n$ can be predicted using next-to-leading order fits to world data for g_1^n. Deviations from this prediction provide an opportunity to examine QCD dynamics in nucleon structure. Our results show a positive deviation from this prediction at lower Q^2, indicating that contributions such as quark-gluon interactions may be important. Precision data obtained for g_1^n are consistent with next-to-leading order fits to world data.

1 data table

Measured values of G1N ang G2N.


Precision measurement of the neutron spin asymmetries and spin-dependent structure functions in the valence quark region.

The Jefferson Lab Hall A collaboration Zheng, X. ; Aniol, K. ; Armstrong, D.S. ; et al.
Phys.Rev.C 70 (2004) 065207, 2004.
Inspire Record 650244 DOI 10.17182/hepdata.31726

We report on measurements of the neutron spin asymmetries $A_{1,2}^n$ and polarized structure functions $g_{1,2}^n$ at three kinematics in the deep inelastic region, with $x=0.33$, 0.47 and 0.60 and $Q^2=2.7$, 3.5 and 4.8 (GeV/c)$^2$, respectively. These measurements were performed using a 5.7 GeV longitudinally-polarized electron beam and a polarized $^3$He target. The results for $A_1^n$ and $g_1^n$ at $x=0.33$ are consistent with previous world data and, at the two higher $x$ points, have improved the precision of the world data by about an order of magnitude. The new $A_1^n$ data show a zero crossing around $x=0.47$ and the value at $x=0.60$ is significantly positive. These results agree with a next-to-leading order QCD analysis of previous world data. The trend of data at high $x$ agrees with constituent quark model predictions but disagrees with that from leading-order perturbative QCD (pQCD) assuming hadron helicity conservation. Results for $A_2^n$ and $g_2^n$ have a precision comparable to the best world data in this kinematic region. Combined with previous world data, the moment $d_2^n$ was evaluated and the new result has improved the precision of this quantity by about a factor of two. When combined with the world proton data, polarized quark distribution functions were extracted from the new $g_1^n/F_1^n$ values based on the quark parton model. While results for $\Delta u/u$ agree well with predictions from various models, results for $\Delta d/d$ disagree with the leading-order pQCD prediction when hadron helicity conservation is imposed.

6 data tables

Measurements of the HE3 asymmetries.

Measurements of the HE3 spin structure functions.

Measurements of the HE3 spin structure functions.

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Precision measurement of the neutron spin asymmetry A(1)(n) and spin-flavor decomposition in the valence quark region.

The Jefferson Lab Hall A collaboration Zheng, X. ; Aniol, K. ; Armstrong, D.S. ; et al.
Phys.Rev.Lett. 92 (2004) 012004, 2004.
Inspire Record 625890 DOI 10.17182/hepdata.31679

We have measured the neutron spin asymmetry $A_1^n$ with high precision at three kinematics in the deep inelastic region at $x=0.33$, 0.47 and 0.60, and $Q^2=2.7$, 3.5 and 4.8 (GeV/c)$^2$, respectively. Our results unambiguously show, for the first time, that $A_1^n$ crosses zero around $x=0.47$ and becomes significantly positive at $x=0.60$. Combined with the world proton data, polarized quark distributions were extracted. Our results, in general, agree with relativistic constituent quark models and with perturbative quantum chromodynamics (pQCD) analyses based on the earlier data. However they deviate from pQCD predictions based on hadron helicity conservation.

1 data table

Measured values of A1 and G1/F1.


Measurements of the Q**2 dependence of the proton and neutron spin structure functions g1(p) and g1(n).

The E155 collaboration Anthony, P.L ; Arnold, R.G ; Averett, T ; et al.
Phys.Lett.B 493 (2000) 19-28, 2000.
Inspire Record 530798 DOI 10.17182/hepdata.27035

The structure functions g1p and g1n have been measured over the range 0.014 < x < 0.9 and 1 < Q2 < 40 GeV2 using deep-inelastic scattering of 48 GeV longitudinally polarized electrons from polarized protons and deuterons. We find that the Q2 dependence of g1p (g1n) at fixed x is very similar to that of the spin-averaged structure function F1p (F1n). From a NLO QCD fit to all available data we find $\Gamma_1^p - \Gamma_1^n =0.176 \pm 0.003 \pm 0.007$ at Q2=5 GeV2, in agreement with the Bjorken sum rule prediction of 0.182 \pm 0.005.

12 data tables

Results for G1/F1 for the proton and neutron.

Results for G1/F1 for the proton and neutron.

Results for G1/F1 for the proton and neutron.

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Measurements of the proton and deuteron spin structure functions g1 and g2.

The E143 collaboration Abe, K. ; Akagi, T. ; Anthony, P.L. ; et al.
Phys.Rev.D 58 (1998) 112003, 1998.
Inspire Record 467140 DOI 10.17182/hepdata.22265

Measurements are reported of the proton and deuteron spin structure functions g1 at beam energies of 29.1, 16.2, and 9.7 GeV and g2 at a beam energy of 29.1 GeV. The integrals of g1 over x have been evaluated at fixed Q**2 = 3 (GeV/c)**2 using the full data set. The Q**2 dependence of the ratio g1/F1 was studied and found to be small for Q**2 > 1 (GeV/c)**2. Within experimental precision the g2 data are well-described by the Wandzura-Wilczek twist-2 contribution. Twist-3 matrix elements were extracted and compared to theoretical predictions. The asymmetry A2 was measured and found to be significantly smaller than the positivity limit for both proton and deuteron targets. A2 for the proton is found to be positive and inconsistent with zero. Measurements of g1 in the resonance region show strong variations with x and Q**2, consistent with resonant amplitudes extracted from unpolarized data. These data allow us to study the Q**2 dependence of the first moments of g1 below the scaling region.

33 data tables

Averaged A1(P) for the DIS (W**2 > 4 GeV) region. Additional normalization uncertainty 3.7%.

Detailed A1(P) for the DIS (W**2 > 4 GeV) region. Additional normalization uncertainty 3.7%.

Detailed A1(P) for the DIS (W**2 > 4 GeV) region. Additional normalization uncertainty 3.7%.

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A next-to-leading order QCD analysis of the spin structure function g1.

The Spin Muon collaboration Adeva, B. ; Akdogan, T. ; Arik, E. ; et al.
Phys.Rev.D 58 (1998) 112002, 1998.
Inspire Record 471982 DOI 10.17182/hepdata.49415

We present a next-to-leading order QCD analysis of the presently available data on the spin structure function g1 including the final data from the Spin Muon Collaboration. We present results for the first moments of the proton, deuteron, and neutron structure functions, and determine singlet and nonsinglet parton distributions in two factorization schemes. We also test the Bjorken sum rule and find agreement with the theoretical prediction at the level of 10%.

7 data tables

The second systematic (DSYS) error is due to QCD evolution.

First moments of the fitted function G1 evaluated on unmeasured X regions. Total uncertainties due to experimental systematics and theoretical sourc es in the QCD evolution.

First moment of fitted G1 evaluated on the whole X region.

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Deep Inelastic Scattering of Polarized Electrons by Polarized $^3$He and the Study of the Neutron Spin Structure

The E142 collaboration Anthony, P.L. ; Arnold, R.G. ; Band, H.R. ; et al.
Phys.Rev.D 54 (1996) 6620-6650, 1996.
Inspire Record 424108 DOI 10.17182/hepdata.22340

The neutron longitudinal and transverse asymmetries $A^n_1$ and $A^n_2$ have been extracted from deep inelastic scattering of polarized electrons by a polarized $^3$He target at incident energies of 19.42, 22.66 and 25.51 GeV. The measurement allows for the determination of the neutron spin structure functions $g^n_1 (x,Q^2)$ and $g^n_2(x,Q^2)$ over the range $0.03 < x < 0.6$ at an average $Q^2$ of 2 (GeV$/c)^2$. The data are used for the evaluation of the Ellis-Jaffe and Bjorken sum rules. The neutron spin structure function $g^n_1 (x,Q^2)$ is small and negative within the range of our measurement, yielding an integral ${\int_{0.03}^{0.6} g_1^n(x) dx}= -0.028 \pm 0.006 (stat) \pm 0.006 (syst) $. Assuming Regge behavior at low $x$, we extract $\Gamma_1^n=\int^1_0 g^n_1(x)dx = -0.031 \pm 0.006 (stat)\pm 0.009 (syst) $. Combined with previous proton integral results from SLAC experiment E143, we find $\Gamma_1^p - \Gamma_1^n = 0.160 \pm 0.015$ in agreement with the Bjorken sum rule prediction $\Gamma^p_1 - \Gamma ^n_1 = 0.176 \pm 0.008$ at a $Q^2$ value of 3 (GeV$/c)^2$ evaluated using $\alpha_s = 0.32\pm 0.05$.

12 data tables

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Measurement of the neutron spin structure function g2(n) and asymmetry A2(n).

The E154 collaboration Abe, K. ; Akagi, T. ; Anderson, B.D. ; et al.
Phys.Lett.B 404 (1997) 377-382, 1997.
Inspire Record 443408 DOI 10.17182/hepdata.27082

We have measured the neutron structure function g$_{2}^{n}$ and the virtual photon-nucleon asymmetry A$_{2}^{n}$ over the kinematic range $0.014\leq x \leq 0.7$ and $1.0 \leq Q^{2} \leq 17.0$ by scattering 48.3 GeV longitudinally polarized electrons from polarized $^{3}$He. Results for A$_{2}^{n}$ are significantly smaller than the $\sqrt{R}$ positivity limit over most of the measured range and data for g$_2^{n}$ are generally consistent with the twist-2 Wandzura-Wilczek prediction. Using our measured g$_{2}^{n}$ we obtain results for the twist-3 reduced matrix element $d_{2}^{n}$, and the integral $\int$g$_{2}^{n}(x)dx$ in the range $0.014\leq x \leq 1.0$. Data from this experiment are combined with existing data for g$_{2}^{n}$ to obtain an average for $d_{2}^{n}$ and the integral $\int$g$_{2}^{n}(x)dx$.

4 data tables

Data measured using the 2.75 degree spectrometer.

Data measured using the 5.5 degree spectrometer.

Measured value of the twist-3 reduced matrix element D2.

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Next-to-leading order QCD analysis of polarized deep inelastic scattering data.

The E154 collaboration Abe, K. ; Akagi, T. ; Anderson, B.D. ; et al.
Phys.Lett.B 405 (1997) 180-190, 1997.
Inspire Record 443186 DOI 10.17182/hepdata.27078

We present a Next-to-Leading order perturbative QCD analysis of world data on the spin dependent structure functions $g_1^p, g_1^n$, and $g_1^d$, including the new experimental information on the $Q^2$ dependence of $g_1^n$. Careful attention is paid to the experimental and theoretical uncertainties. The data constrain the first moments of the polarized valence quark distributions, but only qualitatively constrain the polarized sea quark and gluon distributions. The NLO results are used to determine the $Q^2$ dependence of the ratio $g_1/F_1$ and evolve the experimental data to a constant $Q^2 = 5 GeV^2$. We determine the first moments of the polarized structure functions of the proton and neutron and find agreement with the Bjorken sum rule.

7 data tables

Data from the 2.75 degree spectrometer.

Data from the 2.75 degree spectrometer evolved to a mean Q**2 of 5 GeV**2 using the MSBAR parameterization. The second systematic error is due to the evolution.

Data from the 5.5 degree spectrometer.

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Precision determination of the neutron spin structure function g1(n).

The E154 collaboration Abe, K. ; Akagi, T. ; Anderson, B.D. ; et al.
Phys.Rev.Lett. 79 (1997) 26-30, 1997.
Inspire Record 443170 DOI 10.17182/hepdata.19559

We report on a precision measurement of the neutron spin structure function $g^n_1$ using deep inelastic scattering of polarized electrons by polarized ^3He. For the kinematic range 0.014&lt;x&lt;0.7 and 1 (GeV/c)^2&lt; Q^2&lt; 17 (GeV/c)^2, we obtain $\int^{0.7}_{0.014} g^n_1(x)dx = -0.036 \pm 0.004 (stat) \pm 0.005 (syst)$ at an average $Q^2=5 (GeV/c)^2$. We find relatively large negative values for $g^n_1$ at low $x$. The results call into question the usual Regge theory method for extrapolating to x=0 to find the full neutron integral $\int^1_0 g^n_1(x)dx$, needed for testing quark-parton model and QCD sum rules.

3 data tables

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Measurement of the proton and deuteron spin structure function g1 in the resonance region.

The E143 collaboration Abe, K. ; Akagi, T. ; Anthony, P.L. ; et al.
Phys.Rev.Lett. 78 (1997) 815-819, 1997.
Inspire Record 426735 DOI 10.17182/hepdata.19582

We have measured the proton and deuteron spin structure functions g_1^p and g_1^d in the region of the nucleon resonances for W^2 &lt; 5 GeV^2 and $Q^2\simeq 0.5$ and $Q^2\simeq 1.2$ GeV^2 by inelastically scattering 9.7 GeV polarized electrons off polarized $^{15}NH_3$ and $^{15}ND_3$ targets. We observe significant structure in g_1^p in the resonance region. We have used the present results, together with the deep-inelastic data at higher W^2, to extract $\Gamma(Q^2)\equiv\int_0^1 g_1(x,Q^2) dx$. This is the first information on the low-Q^2 evolution of Gamma toward the Gerasimov-Drell-Hearn limit at Q^2 = 0.

8 data tables

The integral of the structure functions g1 for the resonance region W**2 < 4 GeV**2.

The integral of the structure functions g1 for the resonance region W**2 < 4 GeV**2.

The integral of the structure functions g1 for the full W region including the deep-inelastic region as given by fits to the world's data.

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Determination of the neutron spin structure function..

The E142 collaboration Anthony, P.L. ; Arnold, R.G. ; Band, H.R. ; et al.
Phys.Rev.Lett. 71 (1993) 959-962, 1993.
Inspire Record 359353 DOI 10.17182/hepdata.19693

The spin structure function of the neutron g1n has been determined over the range 0.03<x<0.6 at an average Q2 of 2 (GeV/c)2 by measuring the asymmetry in deep inelastic scattering of polarized electrons from a polarized He3 target at energies between 19 and 26 GeV. The integral of the neutron spin structure function is found to be F01g1n(x)dx=-0.022±0.011. Earlier reported proton results together with the Bjorken sum rule predict F01g1n(x)dx=-0.059±0.019.

2 data tables

No description provided.

Extrapolarity to full x range.


The Ratio of Deep - Inelastic e-n to e-p Cross-Sections in the Threshold Region

Bodek, A. ; Dubin, D.L. ; Elias, J.E. ; et al.
Phys.Lett.B 51 (1974) 417-420, 1974.
Inspire Record 91646 DOI 10.17182/hepdata.27946

We report measurements of the ratio of the deep-inelastic electron-neutron to electron-proton differential cross sections in the threshold ( ω <3) region. The ratio was found to scale and to decrease monotically with decreasing ω . No violation of the quark model lower bound of 0.25 was observed in the ratio.

1 data table

DATA ARE AVERAGED THROUG AVAILABLE KINEMATIC REGION.


Comparisons of Deep Inelastic e p and e n Cross-Sections

Bodek, A. ; Breidenbach, M. ; Dubin, D.L. ; et al.
Phys.Rev.Lett. 30 (1973) 1087, 1973.
Inspire Record 83716 DOI 10.17182/hepdata.21415

Cross sections for inelastic scattering of electrons from hydrogen and deuterium were measured for incident energies from 4.5 to 18 GeV, at scattering angles of 18°, 26°, and 34°, and covering a range of squared four-momentum transfers up to 20 (GeVc)2. Neutron cross sections were extracted from the deuterium data using an impulse approximation. Comparisons with the proton measurements show significant differences between the neutron and proton cross sections.

1 data table

Axis error includes +- 1/1 contribution (DUE TO ERRORS IN ABOVE CORRECTIONSFOR DEAD-TIME LOSSES, INEFFICIENCIES IN E- IDENTIFICATION).


High-Energy Single-Arm Inelastic e - p and e - d Scattering at 6-Degrees and 10-Degrees

Poucher, J.S. ; Breidenbach, Martin ; Ditzler, W.R. ; et al.
Phys.Rev.Lett. 32 (1974) 118, 1974.
Inspire Record 81157 DOI 10.17182/hepdata.3374

Differential cross sections for electron scattering from hydrogen and deuterium in the deep-inelastic region show that the neutron cross section is significantly smaller than the proton cross section over a large part of the kinematic region studied. Although νW2d differs in magnitude from νW2p, it exhibits a similar scaling behavior.

3 data tables

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Experimental Studies of the Neutron and Proton Electromagnetic Structure Functions

Bodek, A. ; Breidenbach, Martin ; Dubin, D.L. ; et al.
Phys.Rev.D 20 (1979) 1471-1552, 1979.
Inspire Record 140185 DOI 10.17182/hepdata.4325

We have carried out an experimental study of the neutron and proton deep-inelastic electromagnetic structure functions. The structure functions were extracted from electron-proton and electron-deuteron differential cross sections measured in three experiments spanning the angles 6°, 10°, 15°, 18°, 19°, 26°, and 34°. We report primarily on the large-angle (15°-34°) measurements. Neutron cross sections were extracted from the deuteron data using an impulse approximation. Our results are consistent with the hypothesis that the nucleon is composed of pointlike constituents. The variation of the cross section with angle suggests that the hypothetical constituents have spin ½. The data for σnσp, the ratio of the neutron and proton differential cross sections, are in the range 0.25 to 1.0, and are within the limits imposed by the quark model. Detailed studies of the structure functions were made for a range of the scaling variable ω from ω=1.3 to ω=10.0, and for a range of invariant four-momentum transfer Q2 from 1.0 to 20.0 GeV2. These studies indicate that the structure functions approximately scale in the variable ω, although significant deviations from scaling in ω are apparent in the region 1.3<ω<3.3. These deviations from scaling are in the same direction and of similar magnitude for both neutron and proton. The interpretation of the data in terms of various theoretical models is discussed.

100 data tables

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