Connection between Distribution and Fragmentation Functions

Abstract

We show that the quark fragmentation function $D(z)$ and the quark distribution function $q(x)$ are connected in the $z\to 1$ limit by the approximate relation $D(z)/z\simeq q(2-1/z)$, where both quantities are in their physical regions. Predictions for proton production in inelastic $e^{+}{e}^{-}$ annihilation, based on the new relation and standard parametrizations of quark distribution functions, are found to be compatible with the data.

10 latex pages, 2 figures, published as Rapid Communication in PRC

Cited by in corpus (18)

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• Strange quark-antiquark asymmetry of nucleon sea from $\Lambda /\bar{\Lambda }$ polarization
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• Ratio of $\bar{\Lambda }/\Lambda$ in Semi-inclusive Electroproduction
• Evidence for SU(3) symmetry breaking from hyperon production
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• Particle-Antiparticle Asymmetries of $\Lambda$ Production in Hadron-Nucleon Collisions
• Octet Quark Contents from SU(3) Flavor Symmetry