Abstract
We report results for the virtual photon asymmetry $A_1$ on the nucleon from new Jefferson Lab measurements. The experiment, which used the CEBAF Large Acceptance Spectrometer and longitudinally polarized proton ($^{15}$NH$_3$) and deuteron ($^{15}$ND$_3$) targets, collected data with a longitudinally polarized electron beam at energies between 1.6 GeV and 5.7 GeV. In the present paper, we concentrate on our results for $A_1(x,Q^2)$ and the related ratio $g_1/F_1(x,Q^2)$ in the resonance and the deep inelastic regions for our lowest and highest beam energies, covering a range in momentum transfer $Q^2$ from 0.05 to 5.0 GeV$^2$ and in final-state invariant mass $W$ up to about 3 GeV. Our data show detailed structure in the resonance region, which leads to a strong $Q^2$--dependence of $A_1(x,Q^2)$ for $W$ below 2 GeV. At higher $W$, a smooth approach to the scaling limit, established by earlier experiments, can be seen, but $A_1(x,Q^2)$ is not strictly $Q^2$--independent. We add significantly to the world data set at high $x$, up to $x = 0.6$. Our data exceed the SU(6)-symmetric quark model expectation for both the proton and the deuteron while being consistent with a negative $d$-quark polarization up to our highest $x$. This data setshould improve next-to-leading order (NLO) pQCD fits of the parton polarization distributions.
Highlights
ÙØ ÖÓÒÑÓØ ÓÒ ØÛ Ò ÕÙ Ö × 1⁄2 ℄μ ÔÖ Ø Ø Ø A1(x) → 1 ÓÖ ÐÐ ØÖØÖØ× × x Ø Ò × ØÓ 1⁄2oÌ × × Ù× ØÖØÖÑ1.
Ø ÒÙ Ð ÓÒ ×Ô Òo ÁÒ Ø × × ̧ A1(x) ÛÓÙÐ ÔÖ Ø ØÓ ÑÓÖ ÔÓ× Ø Ú Ø ÑÓ Ö Ø ÐÝ Ð Ö x < 1 Ù×.
Ð ÖÐÝ Ñ ×ÙÖ Ñ ÒØ× Ó Ø ×ÝÑÑ ØÖÝ A1 Ø ÑÓ Ö1 Ø ØÓ x ≥ 0.3 Ö Ò Ò ×Ô Ò× Ð ØÓÓÐ ØÓ ÑÔÖÓÚ.
Summary
Ø ÓÒ ØÛ Ò ÕÙ Ö × 1⁄2 ℄μ ÔÖ Ø Ø Ø A1(x) → 1 ÓÖ ÐÐ ØÖØÖØ× × x Ø Ò × ØÓ 1⁄2oÌ × × Ù× ØÖØÖÑ1. Ø ÒÙ Ð ÓÒ ×Ô Òo ÁÒ Ø × × ̧ A1(x) ÛÓÙÐ ÔÖ Ø ØÓ ÑÓÖ ÔÓ× Ø Ú Ø ÑÓ Ö Ø ÐÝ Ð Ö x < 1 Ù×. Ð ÖÐÝ Ñ ×ÙÖ Ñ ÒØ× Ó Ø ×ÝÑÑ ØÖÝ A1 Ø ÑÓ Ö1 Ø ØÓ x ≥ 0.3 Ö Ò Ò ×Ô Ò× Ð ØÓÓÐ ØÓ ÑÔÖÓÚ. ØÓ ÔÔÖÓÜ Ñ Ø A1 ÓÖ Ö Ò ÙØÖÓÒμo Ì Ó× Ø × ÓÛ ÓÖ Ø Ö×Ø Ø Ñ ÔÓ× Ø Ú ×ÝÑÑ ØÖÝ An1 Ø Ð Ö x ÙØ. Ö ØØ Ö Û Ø ÔÖ Ø ÓÒ× 1⁄2 ℄ Ø Ø ××ÙÑ Ò Ø Ú d1ÕÙ Ö ÔÓÐ Ö Þ Ø ÓÒ ∆d/dÚÒØÐÖ xo ÁÒ Ø × Ô Ô Ö Û Ö ÔÓÖØ Ø Ö×Ø 1ÔÖ × ÓÒ Ñ 1. ×ÙÖ Ñ ÒØ Ó A1(x, Q2) ÓÖ Ø ÔÖÓØÓÒ Ò Ø ÙØ ÖÓÒ Ø ÑÓ Ö Ø ØÓ Ð Ö xx ≥ 0.15μ ÓÚ Ö Ö Ò Ó ÑÓ1
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