Abstract
In this brief article we summarize the derivation of the Sivers function of a heavy nucleus, which we obtain by generalizing the quasi-classical McLerran-Venugopalan model to incorporate the role of spin and orbital angular momentum. In doing so we obtain a new channel which is capable of generating the Sivers function of the nucleus from the orbital motion of its nucleons. An essential role is played in this channel by the multiple rescatterings on spectator nucleons which screen the distribution function during the initial- or final-state interactions. The combination of orbital angular momentum together with multiple rescattering yields a new interpretation of the sign flip relation between the Sivers function measured in semi-inclusive deep inelastic scattering and the Drell-Yan process.
Highlights
Quasi-Classical Factorization in a Heavy Nucleus In this brief article we summarize the derivation of the Sivers function1 in the quasiclassical limit, emphasizing the main physical messages and key results
We will analyze the case of semi-inclusive deep inelastic scattering (SIDIS) in some detail, with the generalization to Drell-Yan process (DY)
By fixing the transverse polarization of the nucleus S = Sxand antisymmetrizing the expression with respect to k, we can project the nuclear Sivers function f1⊥TA out of the general quasi-classical decomposition (6): 1560032-3
Summary
Where the Wigner distribution of a nucleon with polarization σ inside the nuclear wave function is given by The distribution of unpolarized quarks within the nucleus or a nucleon is obtained by tracing the Dirac indices of the TMD correlators ΦAij , φNij with γj+i.
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