Eur. Phys. J. A (2016) 52: 127
https://doi.org/10.1140/epja/i2016-16127-9

Regular Article - Theoretical Physics

The effect of meson wave function on heavy-quark fragmentation function

¹ Faculty of Physics, Yazd University, P.O. Box 89195-741, Yazd, Iran
² School of Particles and Accelerators, Institute for Research in Fundamental Sciences (IPM), P.O. Box 19395-5531, Tehran, Iran

^* e-mail: mmoosavi@yazd.ac.ir

Received: 2 February 2016
Revised: 26 February 2016
Accepted: 23 March 2016
Published online: 12 May 2016

Abstract

We calculate the process-independent fragmentation functions (FFs) for a heavy quark to fragment into heavy mesons considering the effects of meson wave function. In all previous works, where the FFs of heavy mesons or heavy baryons were calculated, a delta function form was approximated for the wave function of hadrons. Here, for the first time, we consider a typical mesonic wave function which is different from the delta function and is the nonrelativistic limit of the solution of Bethe-Salpeter equation with the QCD kernel. We shall present our numerical results for the heavy FFs and show how the proposed wave function improves the previous results. As an example, we focus on the fragmentation function for c -quark to split into S -wave -meson and compare our results with experimental data from BELLE and CLEO.