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Author ORCID ID is 0000000229371361
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Here, the leadingtwist parton distribution amplitudes (PDAs) of groundstate _{1}S _{0} and _{3}S _{1} cc¯ and bb¯quarkonia are calculated using a symmetrypreserving continuum treatment of the meson boundstate problem which unifies the properties of these heavyquark systems with those of lightquark boundstates, including QCD's Goldstone modes. Analysing the evolution of _{1}S _{0} and _{3}S _{1} PDAs with currentquark 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 changesmore »Cited by 13Full Text Available

Within contemporary hadron physics there are two common methods for determining the momentum dependence of the interaction between quarks: the topdown approach, which works toward an ab initiocomputation of the interaction via direct analysis of the gaugesector gap equations; and the bottomup scheme, which aims to infer the interaction by fitting data within a welldefined truncation of those equations in the matter sector that are relevant to boundstate properties. We unite these two approaches by demonstrating that the renormalisationgroupinvariant runninginteraction predicted by contemporary analyses of QCD’s gauge sector coincides with that required in order to describe groundstate hadron observables usingmore »Cited by 58Full Text Available

In order to learn effectively from measurements of generalised parton distributions (GPDs), it is desirable to compute them using a framework that can potentially connect empirical information with basic features of the Standard Model. We sketch an approach to such computations, based upon a rainbowladder (RL) truncation of QCD’s Dyson–Schwinger equations and exemplified via the pion’s valence dressedquark GPD, H ^{v} _{π}(x, ξ, t). Our analysis focuses primarily on ξ=0, although we also capitalise on the symmetrypreserving nature of the RL truncation by connecting H ^{v} _{π}(x, ξ=±1, t)with the pion’s valencequark parton distribution amplitude. We explain that the impulseapproximationmore »Cited by 19Full Text Available

The impulseapproximation expression used hitherto to define the pion's valencequark distribution function is flawed because it omits contributions from the gluons which bind quarks into the pion. A corrected leadingorder expression produces the modelindependent result that quarks dressed via the rainbow–ladder truncation, or any practical analogue, carry all the pion's lightfront momentum at a characteristic hadronic scale. Corrections to the leading contribution may be divided into two classes, responsible for shifting dressedquark momentum into glue and seaquarks. Working with available empirical information, we use an algebraic model to express the principal impact of both classes of corrections. This enables amore »Cited by 25Full Text Available
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