QCD sum rules study of X(4350)

Abstract

The QCD sum rule approach is used to analyze the nature of the rencently observed new resonance $X(4350)$, which is assumed to be a diquark-antidiquark state $[cs][\bar{c}\bar{s}]$ with $J^{PC}=1^{-+}$. The interpolating current representing this state is proposed. In the calculation, contributions of operators up to dimension six are included in the operator product expansion (OPE), as well as terms which are linear in the strange quark mass $m_s$. We find $m_{1^{-+}}=(4.82\pm 0.19)\,\mbox{GeV}$, which is not compatible with the $X(4350)$ structure as a $1^{-+}$ tetraquark state. Finally, we also discuss the difference of a four-quark state's mass whether the state's interpolating current has a definite charge conjugation.

10 pages, 4 figures. arXiv admin note: text overlap with arXiv:1001.3092 by other authors

References in corpus (9)

• Can the X(3872) be a 1^{++} four-quark state?
• Deciphering triply heavy baryons in terms of QCD sum rules
• Erratum: QCD sum rules study of the $J^{PC}=1^{--}$ charmonium $Y$ mesons
• The meson $Z^{+}(4430)$ as a tetraquark state
• Can the ${\pi }^{+}{\chi }_{c1}$ resonance structures be $D^{\ast }{\bar{D}}^{\ast }$ and $D_1\bar{D}$ molecules?
• Width of exotics from QCD sum rules : tetraquarks or molecules?
• Mass spectra of the heavy baryons Lambda_Q and Sigma_Q^(*) from QCD sum rules
• Mass spectrum of the vector hidden charm and bottom tetraquark states
• Possible tetraquark states in the ${\pi }^{+}{\chi }_{c1}$ invariant mass distribution

Cited by in corpus (1)

• Tetraquark state candidates: $Y(4140)$, $Y(4274)$ and $X(4350)$