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Hadrons and Nuclei
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Semi-inclusive structure functions in the spectator model

A. Bacchetta1 - S. Boffi2 - R. Jakob3

1 Division of Physics and Astronomy, Faculty of Science, Vrije Universiteit De Boelelaan 1081, 1081 HV Amsterdam,
The Netherlands
2 Dipartimento di Fisica Nucleare e Teorica, Università di Pavia and INFN, Sezione di Pavia, Via Bassi 6, 27100 Pavia, Italy
3 Fachbereich Physik, Universität Wuppertal, Gauss-Straße 20, 42097 Wuppertal, Germany

Received: 26 May 2000
Communicated by Th. Walcher

Abstract
We establish the relationship between distribution and fragmentation functions and the structure functions appearing in the cross-section of polarized 1-particle inclusive deep-inelastic scattering. We present spectator model evaluations of these structure functions focusing on the case of an outgoing spin- $\frac{1}{2}$ baryon. Distribution functions obtained in the spectator model are known to fairly agree at low-energy scales with global parameterizations extracted from totally inclusive DIS data. Therefore, we expect it to give good hints on the functional dependence of the structure functions on the scaling variables $x_{\scriptscriptstyle B}$, z and on the transverse momentum of the observed outgoing hadron, ${\mbox{\boldmath$P$ }}_{h\perp}$. Presently, this dependence is not very well known, but experiments are planned in the near future.

PACS
13.60.Rj Baryon production - 12.39.-x Phenomenological quark models


Copyright Società Italiana di Fisica, Springer-Verlag 2000