English

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

High Energy Physics - Phenomenology 2025-08-12 v2

Abstract

We report the first Dyson-Schwinger equation predictions for the leading-twist distribution amplitudes of the BB^*, BsB_s^*, and BcB_c^* 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 MEf/(MEf+MEg)\sim M^f_E/(M^f_E+M^g_E), where MEM_E is the Euclidean constituent quark mass and ff, gg 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.

Keywords

Cite

@article{arxiv.2501.18085,
  title  = {Distribution amplitudes of heavy-light pseudo-scalar and vector mesons from Dyson-Schwinger equations framework},
  author = {Yin-Zhen Xu},
  journal= {arXiv preprint arXiv:2501.18085},
  year   = {2025}
}

Comments

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