Fragmentation functions of mesons in the Field-Feynman model

Abstract

The fragmentation functions of the pion with distinction between $D_u^{{\pi }^{+}}$, $D_d^{{\pi }^{+}}$, and $D_s^{{\pi }^{+}}$ are studied in the Field-Feynman recursive model, by taking into account the flavor structure in the excitation of quark-antiquark pairs by the initial quarks. The obtained analytical results are compatible with available empirical results. The framework is also extended to predict the fragmentation functions of the kaon with distinction between $D_{\bar{s}}^{K^{+}}(z)$, $D_u^{K^{+}}(z)$, $D_s^{K^{+}}(z)$, and $D_d^{K^{+}}(z)$. This work gives a significant modification of the original model, and the predictions can be tested by future experiments on the fragmentation functions of the kaon.

6 Latex pages, 10 figures, to appear in EPJC

References in corpus (4)

• Fragmentation functions from semi-inclusive DIS pion production and implications for the polarized parton densities
• Azimuthal Spin Asymmetries of Pion Electroproduction
• Multiplicity of Charged and Neutral Pions in Deep-Inelastic Scattering of 27.5 GeV Positrons on Hydrogen
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Cited by in corpus (2)

• Parton Fragmentation Functions
• Determination of meson fragmentation functions in the Field-Feynman model