Direct fragmentation of eta(c)(1S) and eta(b)(1S) considering the transverse momentum effect of constituents

作者：Nejad S Mohammad Moosavi^*; Armat A

来源：European Physical Journal A, 2018, 54(7): 118.

DOI：10.1140/epja/i2018-12550-2

In this work, we calculate the fragmentation function (FF) of pseudoscalar S-wave heavy quarkonia from gluon splitting. We also study, for the first time, the Fermi motion effect of constituent quarks on the fragmentation production of the eta(c)(1S) and eta(b)(1S) states. In all previous studies of heavy quarkonium FFs, by ignoring the Fermi motion of constituents a Dirac-delta functional form was approximated for the wave function of bound state. Here, to study the Fermi motion of quarkonium constituents we consider a typical wave function which is different from the delta form and is the nonrelativistic limit of the solution of the Bethe-Salpeter equation with the QCD kernel.

• 出版日期2018-7-12