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arxiv 1908.07914 v4 pith:7ZHQNIKD submitted 2019-08-20 hep-ph

Analysis of the hidden-charm tetraquark mass spectrum with the QCD sum rules

classification hep-ph
keywords tetraquarkstatesrulesalphaaxialvectorhidden-charmmassmathcal
verification ladder T0 review T1 audit T2 compute T3 formal T4 reserved
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In this article, we take the pseudoscalar, scalar, axialvector, vector, tensor (anti)diquark operators as the basic constituents, and construct the scalar, axialvector and tensor tetraquark currents to study the mass spectrum of the ground state hidden-charm tetraquark states with the QCD sum rules in a comprehensive way. We revisit the assignments of the $X$, $Y$, $Z$ states, such as the $X(3860)$, $X(3872)$, $X(3915)$, $X(3940)$, $X(4160)$, $Z_c(3900)$, $Z_c(4020)$, $Z_c(4050)$, $Z_c(4055)$, $Z_c(4100)$, $Z_c(4200)$, $Z_c(4250)$, $Z_c(4430)$, $Z_c(4600)$, etc in the scenario of tetraquark states in a consistent way based on the QCD sum rules. Furthermore, we discuss the feasibility of applying the QCD sum rules to study the tetraquark states and tetraquark molecular states (more precisely, the color-singlet-color-singlet type tetraquark states), which begin to receive contributions at the order $\mathcal{O}(\alpha_s^0)$, not at the order $\mathcal{O}(\alpha_s^2)$.

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Cited by 1 Pith paper

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  1. Radiative decays of $X(3872)$ within $D{\bar D}^*$ molecular framework

    hep-ph 2026-07 conditional novelty 4.0

    Using nonrelativistic effective field theory, the X(3872) is treated as a D*D molecule to predict radiative decay widths to D D gamma, finding a strong neutral-over-charged hierarchy and quantifying D D rescattering effects.