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0.05 < Q^2 < 3.0 GeV ^2时自旋结构函数g_1^p和g_1^d的矩

Moments of the Spin Structure Functions g_1^p and g_1^d for 0.05 < Q^2 < 3.0 GeV^2

Y. Prok, P. Bosted, V. D. Burkert, A. Deur, K. V. Dharmawardane, G. E. Dodge, K. A. Griffioen, S. E. Kuhn, R. Minehart, the CLAS Collaboration

备注：
Final version as published in PLB. Added a parametrization of world data at high Q^2 to Fig. 3
发表信息：
Phys.Lett.B672:12-16,2009
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摘要：

用1.6和5.7GeV的纵向极化电子入射到极化NH_3和ND_3靶上，在x和Q_2的宽运动学范围内测量了质子和氘核的自旋结构函数g_1。在CEBAF大型接受谱仪中检测到散射电子，0.05 < Q^2 < 5 GeV^2和W < 3 GeV。给出了质子和氘核的g_1的一阶矩--它们在低Q^2时都有负斜率，正如扩展的Gerasimov-Drell-Hearn求和规则所预测的那样。还报道了质子γ_0 ^p的广义正向自旋极化率的第一个结果。这个量在低Q^2时表现出很强的Q^2依赖性，而Q^6γ_0^p在我们的实验所能达到的最高Q^2时似乎变平了。尽管g_1的一阶矩在Q^2 = 0.06 GeV^2的范围内与手征微扰理论（ChPT）的计算结果一致，但即使在最低的Q^2下，γ_0^p的数据与ChPT的计算结果也存在显著差异。

英文摘要：

The spin structure functions g_1 for the proton and the deuteron have been measured over a wide kinematic range in x and Q2 using 1.6 and 5.7 GeV longitudinally polarized electrons incident upon polarized NH_3 and ND_3 targets at Jefferson Lab. Scattered electrons were detected in the CEBAF Large Acceptance Spectrometer, for 0.05 < Q^2 < 5 GeV^2 and W < 3 GeV. The first moments of g_1 for the proton and deuteron are presented -- both have a negative slope at low Q^2, as predicted by the extended Gerasimov-Drell-Hearn sum rule. The first result for the generalized forward spin polarizability of the proton gamma_0^p is also reported. This quantity shows strong Q^2 dependence at low Q^2, while Q^6γ_0^p seems to flatten out at the highest Q^2 accessed by our experiment. Although the first moments of g_1 are consistent with Chiral Perturbation Theory (ChPT) calculations up to approximately Q^2 = 0.06 GeV^2, a significant discrepancy is observed between the γ_0^p data and ChPT for gamma_0^p, even at the lowest Q2.

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