Analysis of the ${\frac{3}{2}}^{\pm }$ pentaquark states in the diquark model with QCD sum rules

Abstract

In this article, we construct the scalar-diquark-axialvector-diquark-antiquark type interpolating currents, and study the masses and pole residues of the $J^P={\frac{3}{2}}^{\pm }$ hidden-charmed pentaquark states with the QCD sum rules. In calculations, we use the formula $\mu =\sqrt{M_P^2-(2{\mathbb{M}}_c{)}^2}$ to determine the energy scales of the QCD spectral densities. We obtain the masses of the hidden-charm pentaquark states with the strangeness $S=-1$ and $S=-2$, which can be confronted to the experimental data in the future.

14 pages, 8 figures

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