https://doi.org/10.1140/epjc/s2003-01282-5
theoretical physics
Fragmentation functions of mesons in the Field-Feynman model
1
Department of Physics, Peking University, 100871, Beijing, P.R. China
2
CCAST (World Laboratory), P.O. Box 8730, 100080, Beijing, P.R. China
3
Department of Physics, Peking University, 100871, Beijing, P.R. China
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 the 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.
© Springer-Verlag, 2003
