Testing the doubly charged charm-strange tetraquarks

Abstract

The spectroscopic parameters and decay channels of the doubly charged scalar, pseudoscalar and axial-vector charm-strange tetraquarks $Z_{\overline{c}s}=[sd][\overline{u}\overline{c}]$ are explored within framework of the QCD sum rule. The masses and current couplings of these diquark-antidiquark states are calculated by means of two-point correlation functions and taking into account the vacuum condensates up to eight dimensions. To compute the strong couplings of $Z_{\overline{c}s}$ states with $D,D_s,D^{\ast },D_s^{\ast },D_{s1}(2460),D_{s0}^{\ast }(2317),\pi$ and $K$ mesons we use QCD light-cone sum rules and evaluate width of their $S$- and $P$-wave decays to a pair of negatively charged conventional mesons: For the scalar state $Z_{\overline{c}s}\to D_s\pi ,DK,D_{s1}(2460)\pi$, for the pseudoscalar state $Z_{\overline{c}s}\to D_s^{\ast }\pi ,D^{\ast }K,D_{s0}^{\ast }(2317)\pi ,$ and for the axial-vector state $Z_{\overline{c}s}\to D_s^{\ast }\pi ,D^{\ast }K,D_{s1}(2460)\pi$ decays are investigated. Obtained predictions for the spectroscopic parameters and decay widths of the $Z_{\overline{c}s}$ tetraquarks may be useful for experimental investigations of the doubly charged exotic hadrons.

Comments: 14 Pages, 4 Figures and 3 Tables. To be published in EPJC