Quark fragmentation functions in a diquark model for proton and $Λ$ hyperon production

Physics – High Energy Physics – High Energy Physics - Phenomenology

Scientific paper

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15 pages, latex, figures may be obtained by writing to hafsa%png-qau%sdnpk@sdnhq.undp.org

Scientific paper

10.1103/PhysRevD.51.32

A simple quark-diquark model for nucleon and $\Lambda$ structure is used to calculate leading twist light-cone fragmentation functions for a quark to inclusively decay into P or $\Lambda$. The parameters of the model are determined by fitting to the known deep-inelastic structure functions of the nucleon. When evolved from the initial to the final $Q^2$ scale, the calculated fragmentation functions are in remarkable agreement (for $z>0.4 $) with those extracted from partially inclusive $ep$ and $e^+ e^-$ experiments at high energies. Predictions are made, using no additional parameters, for longitudinally and transversely polarized quarks to fragment into p or $\Lambda$.

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