arXiv · hep-ph/0208122
Phenomenological Relation between Distribution and Fragmentation Functions
Abstract
We study the relation between the quark distribution function q(x) and the fragmentation function D_q(z) based on a general form D_q(x) = C(z)z^{alpha}q(z) for valence and sea quarks. By adopting two known parametrizations of quark distributions for the proton, we find three simple options for the fragmentation functions that can provide a good description of the available experimental data on proton production in e^+ e^- inelastic annihilation. These three options support the revised Gribov-Lipatov relation D_q(z) = z q(z) at z --> 1, as an approximate relation for the connection between distribution and fragmentation functions. The three options differ in the sea contributions and lead to distinct predictions for antiproton production in the reaction p+p --> p-bar+X, thus they are distinguishable in future experiments at RHIC-BNL.
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Bo-Qiang Ma, Ivan Schmidt, Jacques Soffer, Jian-Jun Yang. 2002-08-13. Phenomenological Relation between Distribution and Fragmentation Functions. https://doi.org/10.1016/s0370-2693(02)02765-x
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