Leading Twist Parton Distribution Amplitudes in Heavy Flavor Pseudoscalar Mesons From Dyson-Schwinger Equations of QCD

¹ Department of Physics and State Key Laboratory of Nuclear Physics and Technology, Peking University, Beijing 100871, China
² CSSM, School of Chemistry and Physics, University of Adelaide, Adelaide SA 5005, Australia
³ Theory Group, Physics Division, Argonne National Laboratory, 9700 S. Cass Ave., Lemont, IL 60439, USA

^a e-mail: mhding@pku.edu.cn,speaker
^b e-mail: hiei@pku.edu.cn
^c e-mail: lei.chiong@gmail.com
^d e-mail: yxliu@pku.edu.cn
^e e-mail: c.d.roberts@anl.gov

Published online: 25 March 2016

Abstract

We compute the valence-quark leading twist parton distribution amplitudes (PDAs) of heavy pseudoscalar mesons η_c and η_b and find that they are both broader than the δ-like function while narrower than the asymptotic one. The evolution of distribution amplitude with momentum scale is then considered and PDAs will turn to a asymptotic form when the momentum goes to infinity.