Pion and kaon valence-quark quasiparton distributions
Shu-Sheng Xu🇨🇳 · Lei Chang🇨🇳 · Craig D. Roberts🇺🇸 · Hong-Shi Zong🇨🇳
Algebraic Ansaetze for the Poincaré-covariant Bethe-Salpeter wave functions of the pion and kaon are used to calculate their light-front wave functions (LFWFs), parton distribution amplitudes (PDAs), quasi-PDAs (qPDAs), valence parton distribution functions (PDFs), and quasi-PDFs (qPDFs). The LFWFs are broad, concave functions; and the scale of flavour-symmetry violation in the kaon is roughly 15%, being set by the ratio of emergent masses in the -and -quark sectors. qPDAs computed with longitudinal momentum GeV provide a semiquantitatively accurate representation of the objective PDA; but even with GeV, they cannot provide information about this amplitude's endpoint behaviour. On the valence-quark domain, similar outcomes characterise qPDFs. In this connection, however, the ratio of kaon-to-pion -quark qPDFs is found to provide a good approximation to the true PDF ratio on , suggesting that with existing resources computations of ratios of quasi-parton-distributions can yield results that support empirical comparison.