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Flavor-spin symmetry of the PNψ/H_ΩcccN and PΛψs/HΛcccs molecular states

2024/04/05 by Kan Chen, Bo Wang, Chen, Kan +1
Chemistry · Physics and Astronomy · #Advanced Chemical Physics Studies #Advanced NMR Techniques and Applications #FOS: Physical sciences #High Energy Physics - Experiment (hep-ex) #High Energy Physics - Phenomenology (hep-ph) #Molecular spectroscopy and chirality

paper · pdf · doi:10.48550/arxiv.2404.04016

openalex publication_date 2024/04/05 · openalex created_date 2024/04/09 · openalex updated_date 2026/07/28

Abstract

Based on a contact lagrangian that incorporates the SU(3) flavor and SU(2) spin symmetries, we discuss the symmetry properties of the interactions among the heavy flavor meson-baryon PψN, PψsΛ (with quark components [nc][nnc], [sc][nnc], or [nc][nsc]) systems and di-baryon H_ΩcccN, HΛcccs (with quark components [nnc][ncc], [nnc][scc] or [nsc][ncc]) systems (n=u, d). The light quark components of the PψN (PψsΛ) and H_ΩcccN (H_ΩcccsΛ) systems have identical flavors, the interactions generated from the exchanges of light mesons in the PψN (PΛψs) systems should be very similar to that of the H_ΩcccN (HΛcccs) systems. We perform the single-channel and multi-channel calculations on the PψN/PΛψs/H_ΩcccN/HΛcccs systems and introduce the SU(3) breaking effect to identify the different mass spectra among the PψN (H_ΩcccN) and PΛψs (HΛcccs) systems. We suggest two kinds of evidences for the existence of the flavor-spin symmetry among the heavy flavor PψN/H_ΩcccN/PΛψs/HΛcccs molecule community, i.e., the mass arrangements of the PψN/H_ΩcccN/PΛψs/HΛcccs mass spectra and the binding energies of the heavy flavor meson-baryon (di-baryon) systems attributed to the same contact potentials.

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