Distribution amplitudes of heavy-light pseudo-scalar and vector mesons from Dyson-Schwinger equations framework

Abstract

We report the first Dyson-Schwinger equation predictions for the leading-twist distribution amplitudes of the $B^{\ast }$, $B_s^{\ast }$, and $B_c^{\ast }$ mesons, and extend the investigation to a broader set of heavy-light pseudo-scalar/vector mesons. Numerical analysis shows that, in flavor-asymmetric systems, the distribution amplitude is skewed toward the heavier quark, with the position of the maximum $\sim M_E^f/(M_E^f+M_E^g)$, where $M_E$ is the Euclidean constituent quark mass and $f$, $g$ denote the quark flavors. Spin effects are found to be subleading compared to the influence of valence-quark composition, and lead to heavier quarks carrying more light-front momentum in vector mesons than in their pseudo-scalar counterparts. Our results can be compared with both experimental and theoretical outcomes in the future.

14 pages, 7 figures. Close to published version. The data of distribution amplitudes produced in this work are available on GitHub: https://github.com/YinzhenXu/Dataset_arXiv_2501.18085

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