Study on the structure of the Z_c(3900) state

2024/12/15 by Yan Ma, De-Shun Zhang, Ma, Yan +5
Computer Science · #FOS: Physical sciences #High Energy Physics - Experiment (hep-ex) #High Energy Physics - Phenomenology (hep-ph) #Quantum Computing Algorithms and Architecture #Quantum Information and Cryptography

paper · pdf · doi:10.48550/arxiv.2412.11144

openalex publication_date 2024/12/15 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

In this work, we studied the Z_c(3900) state within the framework of effective field theory. We firstly show the construction of the Lagrangian describing meson-meson-meson and meson-diquark-diquark interactions. By using the Feynman rule, we calculate the effective potentials corresponding to the coupled channels of DD^*/D^*D and S_cqA_cq/A_cqS_cq with S_cq (A_cq) the scalar (axial vector) diquark composed of c and q quarks. After solving the Bethe-Salpeter equation of the on-shell parametrized form and compare our numerical results with the experimental mass and width of Z_c(3900), we find that the Z_c(3900) state can be explained as the mixture of DD^*/D^*D and S_cqA_cq/A_cqS_cq components.

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