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Abstract: (arXiv)
In this work, we investigate the Heavy-Quark Spin Symmetry (HQSS) exhibited in the effective Lagrangians governing the three-point interactions of DD mesons, charmed baryons, and nucleons. We first construct the effective Lagrangians, and there are 12 distinct terms. As a result, we observe that the invariant Lagrangian under HQSS manifests exclusively in the pseudoscalar DD mesons coupling to nucleons and Λc\Lambda_c baryons, whereas nucleons and Σc\Sigma_c (Σc\Sigma_c^*) baryons only couple with vector DD mesons. By taking into account the violated heavy-quark spin transformation, one can recover all interactions from the effective Lagrangians. Furthermore, we compute the differential cross-sections of the ppˉYcYˉcp\bar p \to Y_c\bar{Y}_c' scatterings, where Yc,Ycˉ=Λc, Σc, ΣcY_c,\bar{Y_c}' = \Lambda_c,~\Sigma_c,~\Sigma_c^*, to reveal the residue of the violating HQSS (VHQSS) on charmed baryon production. Ultimately, by accounting for VHQSS, we aim for precise predictions of production rates, which are essential for the High-Energy Storage Ring (HESR) experiments at the Facility for Antiproton and Ion Research (FAIR).
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  • 23 pages, 10 figures, 2 tables