The COMPASS Collaboration at CERN has measured the transverse spin azimuthal asymmetry of\ud
charged hadrons produced in semi-inclusive deep inelastic scattering using a 160 GeV μ+ beam and a\ud
transversely polarised NH3 target. The Sivers asymmetry of the proton has been extracted in the Bjorken\ud
x range 0.003 < x < 0.7. The new measurements have small statistical and systematic uncertainties of\ud
a few percent and confirm with considerably better accuracy the previous COMPASS measurement. The\ud
Sivers asymmetry is found to be compatible with zero for negative hadrons and positive for positive\ud
hadrons, a clear indication of a spin–orbit coupling of quarks in a transversely polarised proton. As\ud
compared to measurements at lower energy, a smaller Sivers asymmetry for positive hadrons is found\ud
in the region x > 0.03. The asymmetry is different from zero and positive also in the low x region,\ud
where sea-quarks dominate. The kinematic dependence of the asymmetry has also been investigated and\ud
results are given for various intervals of hadron and virtual photon fractional energy. In contrast to the\ud
case of the Collins asymmetry, the results on the Sivers asymmetry suggest a strong dependence on the\ud
four-momentum transfer to the nucleon, in agreement with the most recent calculations
Spin-averaged asymmetries in the azimuthal distributions of positive and negative hadrons produced in deep inelastic scattering were measured using the CERN SPS longitudinally polarised muon beam at 160 GeV/c160 GeV/c and a 6LiD target. The amplitudes of the three azimuthal modulations cosϕhcosϕh, cos2ϕhcos2ϕh and sinϕhsinϕh were obtained binning the data separately in each of the relevant kinematic variables x , z or View the MathML sourcepTh and binning in a three-dimensional grid of these three variables. The amplitudes of the cosϕhcosϕh and cos2ϕhcos2ϕh modulations show strong kinematic dependencies both for positive and negative hadrons
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