https://doi.org/10.1140/epjp/i2018-11862-x
Regular Article
The impact of Fermi motion on the heavy quarkonia fragmentation using the light-cone wave 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:
6
December
2017
Accepted:
7
January
2018
Published online:
29
January
2018
Fragmentation is the dominant mechanism for heavy quarkonia production with large transverse momentum. The study of heavy quarkonium production is a powerful tool to understand the dynamics of strong interactions. In this work, we study the effect of Fermi motion of constituents on the direct fragmentation of the 
and 
states from the gluon using a light-cone wave function. Following this study, we compute the process-independent fragmentation functions (FFs) for a gluon to fragment into these bound states. Consistent with such a wave function we set up the kinematics of a gluon fragmenting into a quarkonium such that the Fermi motion of the constituents splits into longitudinal as well as transverse direction. In all previous calculations of heavy quarkonia FFs, by ignoring the Fermi motion of constituents, a delta function form was approximated for the meson wave function. Here, we present our numerical results for the 
and 
FFs and show how the proposed meson wave function improves the previous results.
© Società Italiana di Fisica and Springer-Verlag GmbH Germany, part of Springer Nature, 2018
