Abstract
Lepton deep inelastic scattering off nuclei at medium energies gives the opportunity to study the space-time development of hadronization. Indeed, for these kinematics, the production length is comparable to the nuclear size. Based on the Berger model [1] and dipole phenomenology, we built a model for vacuum and in-medium hadronization. The model, which includes vacuum energy loss, induced energy loss and nuclear absorption in a parameter-free way successfully describes Hermes data [2, 3]. In a future publication, Fermi motion will be taken into account and the model will be applied to CLAS Eg2 data, at Jefferson laboratory.
Highlights
The study of semi-inclusive production of hadrons in deep-inelastic scattering (DIS) off nuclei is interesting for at least two reasons
DA and D are the in-medium and vacuum fragmentation functions, respectively. z, Q2 and E are the fraction of photon energy carried by the final hadron, the photon virtuality and the photon energy
Other models [7, 8] try to explain the nuclear suppression in terms of absorption of thehadron.1. They provide information on production and formation times as well as on the spacetime dependence of the pre-hadron cross section. Both can describe reasonably well data on DIS off nuclei which have been published by the European Muon collaboration (EMC) [6] and by the HERMES collaboration at DESY
Summary
The study of semi-inclusive production of hadrons in deep-inelastic scattering (DIS) off nuclei is interesting for at least two reasons. Other models [7, 8] try to explain the nuclear suppression in terms of absorption of the (pre)hadron.1 They provide information on production and formation times as well as on the spacetime dependence of the pre-hadron cross section. We present a simple model based on perturbative QCD (pQCD) for the propagation and hadronization of the leading quark in cold matter It includes vacuum energy loss, induced energy loss and nuclear absorption. It comes from our assumption of equal sharing for the qqpair, but this is not an issue since we want to focus on high z values Another assumption of our model is to identify the production length of the pre-hadron with the radiation time of the gluon : Lp. Energy loss gives a shorter production length (z > z) and the effect is larger for smaller value of z. In terms of production length, the fragmentation function, eq (3), is given by :
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