Could $Z_c(4025)$ be a $J^P=1^{+}$ $D^{\ast }\overline{D^{\ast }}$ molecular state?

Abstract

We investigate whether the newly observed narrow resonance $Z_c(4025)$ can be described as a $D^{\ast }\overline{D^{\ast }}$ molecular state with quantum numbers $J^P=1^{+}$. Using QCD sum rules, we consider contributions up to dimension six in the operator product expansion and work at leading order of ${\alpha }_s$. The mass obtained for this state is $(4.05\pm 0.28)\text{mbox}GeV$. It is concluded that $D^{\ast }\overline{D^{\ast }}$ molecular state is a possible candidate for $Z_c(4025)$.

Comments: 7 pages, 4 figures.Published in Eur.Phys.J. C73 (2013) 2661. arXiv admin note: text overlap with arXiv:1304.1850