Scalar or vector tetraquark state candidate: $Z_c(4100)$

Abstract

In this article, we separate the vector and axialvector components of the tensor diquark operators explicitly, construct the axialvector-axialvector type and vector-vector type scalar tetraquark currents and scalar-tensor type tensor tetraquark current to study the scalar, vector and axialvector tetraquark states with the QCD sum rules in a consistent way. The present calculations do not favor assigning the $Z_c(4100)$ to be a scalar or vector tetraquark state. If the $Z_c(4100)$ is a scalar tetraquark state without mixing effects, it should have a mass about $3.9\mathrm{GeV}$ or $4.0\mathrm{GeV}$ rather than $4.1\mathrm{GeV}$; on the other hand, if the $Z_c(4100)$ is a vector tetraquark state, it should have a mass about $4.2\mathrm{GeV}$ rather than $4.1\mathrm{GeV}$. However, if we introduce mixing, a mixing scalar tetraquark state can have a mass about $4.1\mathrm{GeV}$. As a byproduct, we obtain an axialvector tetraquark candidate for the $Z_c(4020)$.

14 pages, 10 figures

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Cited by in corpus (6)

• Analysis of the hidden-charm tetraquark mass spectrum with the QCD sum rules
• Analysis of the decay $Y(4500)\to D^{\ast }{\bar{D}}^{\ast }\pi$ with the light-cone QCD sum rules
• Triply-charmed hexaquark states with the QCD sum rules
• The fully-light vector tetraquark states with explicit P-wave via the QCD sum rules
• Determination of parameters of a potential model for tetraquark study by studying all S-wave mesons
• Analysis of the vector hidden-charm tetraquark states without explicit P-waves via the QCD sum rules