-wave Excited Tetraquark States With And
Zi-Yan Yang (School of Physics, Sun Yat-Sen University, China); Wei Chen (School of Physics, Sun Yat-Sen University, China)
We study the mass spectra of D-wave excited $ cs\bar{c}\bar{s} $ tetraquark states with $ cs\bar{c}\bar{s} $ and $ cs\bar{c}\bar{s} $ in both symmetric $ cs\bar{c}\bar{s} $ and antisymmetric $ cs\bar{c}\bar{s} $ color configurations using the QCD sum rule method. We construct the D-wave diquark-antidiquark type of $ cs\bar{c}\bar{s} $ tetraquark interpolating currents in various excitation structures with $ cs\bar{c}\bar{s} $ . Our results support the interpretation of the recently observed $ cs\bar{c}\bar{s} $ resonance as a D-wave $ cs\bar{c}\bar{s} $ tetraquark state with $ cs\bar{c}\bar{s} $ in the $ cs\bar{c}\bar{s} $ or $ cs\bar{c}\bar{s} $ excitation mode, although some other possible excitation structures cannot be excluded exhaustively within theoretical errors. Moreover, our results provide the mass relations $ cs\bar{c}\bar{s} $ and $ cs\bar{c}\bar{s} $ for the positive and negative $ cs\bar{c}\bar{s} $ -parity D-wave $ cs\bar{c}\bar{s} $ tetraquarks, respectively. We suggest searching for these possible D-wave $ cs\bar{c}\bar{s} $ tetraquarks in both the hidden-charm channels $ cs\bar{c}\bar{s} $ and $ cs\bar{c}\bar{s} $ , as well as open-charm channels such as $ cs\bar{c}\bar{s} $ and $ cs\bar{c}\bar{s} $ .