Open-charm tetraquark candidate: Note on <mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" display="inline"><mml:msub><mml:mi>X</mml:mi><mml:mn>0</mml:mn></mml:msub><mml:mo stretchy="false">(</mml:mo><mml:mn>2900</mml:mn><mml:mo stretchy="false">)</mml:mo></mml:math>
Jian-Rong Zhang
Abstract
Motivated by the LHCb's very recent observation of exotic ${X}_{0}(2900)$ in the ${B}^{+}\ensuremath{\rightarrow}{D}^{+}{D}^{\ensuremath{-}}{K}^{+}$ process, for which could be a good open-charm $ud\overline{c}\overline{s}$ tetraquark candidate, we endeavor to investigate its possibility by means of QCD sum rules. In technique, four configurations of interpolating currents with ${J}^{P}={0}^{+}$ are studied for the $ud\overline{c}\overline{s}$ tetraquark state. In the end, mass values are calculated to be ${2.76}_{\ensuremath{-}0.23}^{+0.16}\text{ }\text{ }\mathrm{GeV}$ for the axial vector diquark-axial vector antidiquark configuration and ${2.75}_{\ensuremath{-}0.24}^{+0.15}\text{ }\text{ }\mathrm{GeV}$ for the scalar diquark-scalar antidiquark configuration, both of which are consistent with the experimental data $2.866\ifmmode\pm\else\textpm\fi{}0.007\ifmmode\pm\else\textpm\fi{}0.002\text{ }\text{ }\mathrm{GeV}$ of ${X}_{0}(2900)$ in view of the uncertainty. These results support that ${X}_{0}(2900)$ could be a ${0}^{+}$ tetraquark state with open-charm flavor.