Charmonium-like states with the exotic quantum number \(J^{PC} = 3^{-+}\)

• Published in: arXiv.org
• Main Authors: Hong-Zhou, Xi, Hua-Xing, Chen, Chen, Wei, Steele, T G, Zhang, Yong, Zhou, Dan
• Format: Paper
• Language: English
• Published: Ithaca Cornell University Library, arXiv.org 19.10.2024
• Subjects: Quantum chromodynamics; Sum rules
• ISSN: 2331-8422

We apply the method of QCD sum rules to study the \(q c \bar q \bar c\) tetraquark states with the exotic quantum number \(J^{PC} = 3^{-+}\), and extract the mass of the lowest-lying state to be \({4.49^{+0.45}_{-0.41}}\) GeV. To construct the relevant tetraquark currents we need to explicitly add the covariant derivative operator. Our systematic analysis of these interpolating currents indicates that: a) this state readily decays into the \(P\)-wave \([\rho J/\psi] / [\omega J/\psi ]\) channel but not into the \( [\rho \chi_{c2}]/[\omega \chi_{c2}]/[J/\psi f_2(1270)]\) channels, and b) it readily decays into the \([D^* \bar D_2^*]\) channel but not into the \(P\)-wave \([D^* \bar D^*]\) channel.