Polarization asymmetries in photoproduction of high transverse momentum mesons are a flavor sensitive way to measure the polarized quark distributions. We calculate the expected asymmetries in several models, and find that the asymmetries are significant and also significantly different from model to model. Suitable data may come as a by-product of deep inelastic experiments to measure g1 or from dedicated experiments.
JLAB-THY-96-18
I. MOTIVATIONIn this note, we will describe a flavor sensitive tool for measuring polarized quark distributions, namely photoproduction off nucleons of mesons with high transverse momentum, using polarized initial states.Presently, information on polarized quark distributions comes from deep inelastic electron or muon scattering with polarized beams and targets [1]. Single arm measurements of g 1 give information about a linear combination of polarized quark distributions. Obtaining polarized distributions of individual flavors from this data requires extra theoretical input in the analysis. Recently, coincidence measurements of ℓ p( d) → ℓ π ± X have been reported [2]. This data, for a proton or deuteron target, gives different linear combinations of up and down quark polarized distributions, allowing a flavor decomposition without further theoretical input [3].The process we will discuss, γ p → M X (where the photon is real, targets other than protons are possible, and M is a meson), gives a complementary way to find the polarized quark distributions. The perturbative QCD that we use in the analysis is justified on the basis of high meson transverse momentum, rather than by high virtuality of an exchanged photon, and the experiment is a single arm experiment rather than a coincidence one. Good data can in fact come as a by-product of a g 1 experiment since the detectors that measure the final electron or muon can also pick up charged hadrons; recall that if the final lepton is not measured, the form of the cross section ensures that the virtuality of the exchanged photon will be rather low on the average.At high enough transverse momentum, mesons are directly produced by short range processes illustrated in Fig. 1. These processes are amenable to perturbative QCD calculation [4,5] and produce mesons that are kine- * On leave from Kharkov Institute of Physics and Technology, Kharkov, Ukraine.matically isolated in the direction they emerge. The direct processes possess several important features. One important feature is that the momentum fraction of the active quark is immediately obtainable from experimentally measurable quantities. This is like the situation in deep inelastic lepton scattering, where experimenters can measure Q 2 and ν and determine the quark momentum fraction by x = Q 2 /2m N ν. In the present case, we define the Mandelstam variables using p, q, and k, the momenta of the proton (or other target hadron), the photon, and the meson, respectively,These are all experimentally measurable quantities. We can show that, neglecting masses,The second important feature is t...