Can the X(4350) narrow structure be a $1^{-+}$ exotic state?

Abstract

Using the QCD sum rules we test if the new narrow structure, the X(4350) recently observed by the Belle Collaboration, can be described as a $J^{PC}=1^{-+}$ exotic $D_s^{\ast }{D}_{s0}^{\ast }$ molecular state. We consider the contributions of condensates up to dimension eight, we work at leading order in ${\alpha }_s$ and we keep terms which are linear in the strange quark mass $m_s$. The mass obtained for such state is $m_{D_s^{\ast }{D}_{s0}^{\ast }}=(5.05\pm 0.19)$ GeV. We also consider a molecular $1^{-+},D^{\ast }{D}_0^{\ast }$ current and we obtain $m_{D^{\ast }{D}_0^{\ast }}=(4.92\pm 0.08)$ GeV. We conclude that it is not possible to describe the X(4350) structure as a $1^{-+}{D}_s^{\ast }{D}_{s0}^{\ast }$ molecular state.

Comments: 7 pages, 4 figures