# Analysis of the $\frac {3}{2}^{\pm }$ Pentaquark States in the Diquark Model with QCD Sum Rules

Zhang, Jun-Xia (Department of Physics, North China Electric Power University, Baoding 071003, P.R. China) ; Wang, Zhi-Gang (Department of Physics, North China Electric Power University, Baoding 071003, P.R. China) ; Di, Zun-Yan (Department of Physics, North China Electric Power University, Baoding 071003, P.R. China)

07 December 2017

Abstract: In this article, we construct the scalar--diquark--axialvector--diquark--antiquark-type interpolating currents, and study the masses and pole res-idues of the $J^{P}=\frac{3}{2}^{\pm}$ hidden-charmed pentaquark states with the QCD sum rules. In calculations, we use the formula $\mu=\sqrt{M^2_{P}-(2{\mathbb{M}}_c)^2}$ 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 with the experimental data in the future.

Published in: Acta Physica Polonica B 48 (2017) 2013-2030