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.

13 pages, 5 eps figures

References in corpus (3)

• A statistical approach for polarized parton distributions
• Quark Distributions of Octet Baryons from SU(3) Symmetry
• Connection between Distribution and Fragmentation Functions

Cited by in corpus (8)

• Statistical approach for unpolarized fragmentation functions for the octet baryons
• EMC effect in semi-inclusive deep-inelastic scattering process
• Nucleon strangeness polarization from $\Lambda /\bar{\Lambda }$ hyperon production in polarized proton-proton collision at RHIC
• Ratio of $\bar{\Lambda }/\Lambda$ in Semi-inclusive Electroproduction
• Fragmentation functions of mesons in the Field-Feynman model
• Particle-Antiparticle Asymmetries of $\Lambda$ Production in Hadron-Nucleon Collisions
• Octet Quark Contents from SU(3) Flavor Symmetry
• Mass Suppression in Octet Baryon Production