Connection between Distribution and Fragmentation Functions

Details Connection between Distribution and Fragmentation Functions Connection between Distribution and Fragmentation Functions

2000-11-28

arxiv.org/abs/hep-ph/0011334v1

Phys.Rev.C62:062201,2000

Physics

High Energy Physics

High Energy Physics - Phenomenology

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

Scientific paper

10.1103/PhysRevC.62.062201

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.

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