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.
Highlights
The BC meson had been studied under various approaches since its observation by the CDF and D0 group in different channels [1,2,3]
We compute the valence-quark leading twist parton distribution amplitudes (PDAs) of heavy pseudoscalar mesons ηc and ηb and find that they are both broader than the δ-like function while narrower than the asymptotic one
Among them QCD light-cone sum rules method for example, its valence-quark parton distribution amplitudes (PDAs) of c-meson or b-meson were introduced through an integration over light-cone wave functions, which were ansatz presented by Brodsky-Huang-Lepage [7]
Summary
The BC meson had been studied under various approaches since its observation by the CDF and D0 group in different channels [1,2,3]. Among them QCD light-cone sum rules method for example, its valence-quark parton distribution amplitudes (PDAs) of c-meson or b-meson were introduced through an integration over light-cone wave functions, which were ansatz presented by Brodsky-Huang-Lepage [7]. Pion’s distribution amplitude has been obtained directly from a projection of the pion’s Bethe-Salpeter wave function onto the light-cone [9], and the asymptotic form was obtained naturally, φaπsy(x) = 6x(1 − x). The distribution amplitude of pion was broader than the asymptotic one, which explained well the emergent phenomenon of dynamic chiral symmetry breaking. Heavy flavor pseudoscalar meson leading twist PDAs are planned to be studied after a clear image of pion. PDAs of these two mesons are calculated in this document under the framework of DSEs following this new method that successfully applied to pion
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