Year: 2018
Type: article
Abstract: Algebraic Ans\"atze for the Poincar\'e-covariant Bethe-Salpeter wave functions of the pion and kaon are used to calculate their light-front wave functions, parton distribution amplitudes, parton quasidistribution amplitudes, valence parton distribution functions, and parton quasidistribution functions (PqDFs). The light-front wave functions are broad, concave functions, and the scale of flavor-symmetry violation in the kaon is roughly 15%, being set by the ratio of emergent masses in the $s$- and $u$-quark sectors. Parton quasidistribution amplitudes computed with longitudinal momentum ${P}_{z}=1.75\text{ }\text{ }\mathrm{GeV}$ provide a semiquantitatively accurate representation of the objective parton distribution amplitude, but even with ${P}_{z}=3\text{ }\text{ }\mathrm{GeV}$, they cannot provide information about this amplitude's end point behavior. On the valence-quark domain, similar outcomes characterize PqDFs. In this connection, however, the ratio of kaon-to-pion $u$-quark PqDFs is found to provide a good approximation to the true parton distribution function ratio on $0.4\ensuremath{\lesssim}x\ensuremath{\lesssim}0.8$, suggesting that with existing resources computations of ratios of parton quasidistributions can yield results that support empirical comparison.
Institutions: Nanjing University, Nankai University, Argonne National Laboratory
Language: English
Subfield: Nuclear and High Energy Physics
Field: Physics and Astronomy
Domain: Physical Sciences
Open Access status: green
OpenAlex ID: W2788803228