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Direct fragmentation of \( \eta_{c}^{}\)(1S) and \( \eta_{b}^{}\)(1S) considering the transverse momentum effect of constituents

Regular Article - Theoretical Physics
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Abstract.

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. We shall present our results for the fragmentation of \( g\rightarrow (\eta_c, \eta_b)\) and show how the Fermi motion effect changes the results.

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Copyright information

© SIF, Springer-Verlag GmbH Germany, part of Springer Nature 2018

Authors and Affiliations

  1. 1.Faculty of PhysicsYazd UniversityYazdIran
  2. 2.School of Particles and AcceleratorsInstitute for Research in Fundamental Sciences (IPM)TehranIran
  3. 3.Department of Physics, Faculty of ScienceUniversity of HormozganBandar-AbbasIran

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