Revisit the $X(4274)$ as the axialvector tetraquark state

Abstract

In this article, we construct the $[sc{]}_A[\bar{s}\bar{c}{]}_V-[sc{]}_V[\bar{s}\bar{c}{]}_A$ type tensor current to study the mass and width of the $X(4274)$ with the QCD sum rules in details. The predicted mass $M_X=(4.27\pm 0.09)\mathrm{GeV}$ for the $J^{PC}=1^{++}$ tetraquark state is in excellent agreement with the experimental data 4273.3 \pm 8.3 ^{+17.2}_{-3.6} \mbox MeV} from the LHCb collaboration. The central value of the width $\Gamma (X(4274)\to J/\psi \varphi )=47.9\mathrm{MeV}$ is in excellent agreement with the experimental data 56 \pm 11 ^{+8}_{-11} \mbox MeV}} from the LHCb collaboration. The present work supports assigning the $X(4274)$ to be the $J^{PC}=1^{++}$ $[sc{]}_A[\bar{s}\bar{c}{]}_V-[sc{]}_V[\bar{s}\bar{c}{]}_A$ tetraquark state with a relative P-wave between the diquark and antidiquark constituents. Furthermore, we obtain the mass of the $[sc{]}_A[\bar{s}\bar{c}{]}_V-[sc{]}_V[\bar{s}\bar{c}{]}_A$ type tetraquark state with $J^{PC}=1^{-+}$ as a byproduct.

Comments: 20 pages, 5 figures. arXiv admin note: text overlap with arXiv:1811.12821