Leading-twist parton distribution amplitudes of S-wave heavy-quarkonia
Here, the leading-twist parton distribution amplitudes (PDAs) of ground-state 1S0 and 3S1 cc¯- and bb¯quarkonia are calculated using a symmetry-preserving continuum treatment of the meson bound-state problem which unifies the properties of these heavy-quark systems with those of light-quark bound-states, including QCD's Goldstone modes. Analysing the evolution of 1S0 and 3S1 PDAs with current-quark mass, m^q, increasing away from the chiral limit, it is found that in all cases there is a value of m^q for which the PDA matches the asymptotic form appropriate to QCD's conformal limit and hence is insensitive to changes in renormalisation scale, ζ. This mass lies just above that associated with the s-quark. At current-quark masses associated with heavy-quarkonia, on the other hand, the PDAs are piecewise convex–concave–convex.
- Research Organization:
- Argonne National Lab. (ANL), Argonne, IL (United States)
- Sponsoring Organization:
- USDOE Office of Science (SC), Nuclear Physics (NP); National Natural Science Foundation of China (NSFC)
- Grant/Contract Number:
- AC02-06CH11357
- OSTI ID:
- 1229694
- Alternate ID(s):
- OSTI ID: 1391873
- Journal Information:
- Physics Letters B, Journal Name: Physics Letters B Vol. 753 Journal Issue: C; ISSN 0370-2693
- Publisher:
- ElsevierCopyright Statement
- Country of Publication:
- Netherlands
- Language:
- English
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