Testing the doubly charged charm–strange tetraquarks

Abstract

Abstract The spectroscopic parameters and decay channels of the doubly charged scalar, pseudoscalar and axial-vector charm–strange tetraquarks $$Z_{ \overline{c}s}=[sd][\overline{u} \overline{c}]$$ Zc¯s=[sd][u¯c¯] are explored within framework of the QCD sum rule method. 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 $$Z_{\overline{c}s}$$ Zc¯s states with $$D,\ D_{s},\ D^{*},\ D_{s}^{*},\ D_{s1}(2460),\ D_{s0}^{*}(2317),\ \pi $$ D,Ds,D∗,Ds∗,Ds1(2460),Ds0∗(2317),π 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 $$Z_{\overline{c}s}\rightarrow D_s \pi ,\ DK, \ D_{s1}(2460)\pi $$ Zc¯s→Dsπ,DK,Ds1(2460)π , for the pseudoscalar state $$Z_{\overline{c}s} \rightarrow D_{s}^{*}\pi ,\ D^{*}K, \ D_{s0}^{*}(2317)\pi ,$$ Zc¯s→Ds∗π,D∗K,Ds0∗(2317)π, and for the axial-vector state $$Z_{\overline{c}s} \rightarrow D_{s}^{*}\pi ,\ D^{*}K,\ D_{s1}(2460)\pi $$ Zc¯s→Ds∗π,D∗K,Ds1(2460)π decays are investigated. Obtained predictions for the spectroscopic parameters and decay widths of the $$Z_{\overline{c}s}$$ Zc¯s tetraquarks may be useful for experimental investigations of the doubly charged exotic hadrons.