Could $Y_{b}(10890)$ be the P-wave $[bq][\bar{b}\bar{q}]$ tetraquark state?

Abstract

Assuming $Y_{b}(10890)$ as a P-wave $bq$-scalar-diquark $\bar{b}\bar{q}$-scalar-antidiquark tetraquark state, the mass of $Y_{b}(10890)$ is computed in the framework of QCD sum rule method. Technically, contributions of operators up to dimension six are included in the operator product expansion (OPE). The numerical result $10.88\pm0.13 GeV$ for $Y_{b}(10890)$ agrees well with the experimental value, which favors the P-wave $[bq][\bar{b}\bar{q}]$ tetraquark configuration for $Y_{b}(10890)$. In the same picture, the mass of $Y(4360)$ is calculated and the result $4.32\pm0.20 GeV$ is compatible with the experimental data, which supports $Y(4360)$'s P-wave $[cq][\bar{c}\bar{q}]$ structure.