<mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" display="inline"><mml:mi>S</mml:mi></mml:math>- and <mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" display="inline"><mml:mi>P</mml:mi></mml:math>-wave fully strange tetraquark states from QCD sum rules

Abstract

We apply the QCD sum rule method to systematically study the $S$- and $P$-wave fully strange tetraquark states within the diquark-antidiquark picture. We systematically construct their interpolating currents by explicitly adding the covariant derivative operator. Our results suggest that the ${f}_{0}(2100)$, $X(2063)$, and ${f}_{2}(2010)$ may be explained as the $S$-wave $ss\overline{s}\overline{s}$ tetraquark states with the quantum numbers ${J}^{PC}={0}^{++}$, ${1}^{+\ensuremath{-}}$, and ${2}^{++}$, respectively. Our results also suggest that both the $X(2370)$ and $X(2500)$ may be explained as the $P$-wave $ss\overline{s}\overline{s}$ tetraquark states of ${J}^{PC}={0}^{\ensuremath{-}+}$, and both the $\ensuremath{\phi}(2170)$ and $X(2400)$ may be explained as the $P$-wave $ss\overline{s}\overline{s}$ tetraquark states of ${J}^{PC}={1}^{\ensuremath{-}\ensuremath{-}}$. The masses of the $ss\overline{s}\overline{s}$ tetraquark states with the exotic quantum number ${J}^{PC}={1}^{\ensuremath{-}+}$ are extracted from two noncorrelated currents to be ${2.45}_{\ensuremath{-}0.25}^{+0.20}\text{ }\text{ }\mathrm{GeV}$ and ${2.49}_{\ensuremath{-}0.25}^{+0.21}\text{ }\text{ }\mathrm{GeV}$.

Topics & Concepts