Analysis of Y(4660) and related bound states with QCD sum rules

Abstract

In this article, we take the vector charmonium-like state Y(4660) as a ${\psi }^{\prime }{f}_0(980)$ bound state (irrespective of the hadro-charmonium and the molecular state) tentatively, study its mass using the QCD sum rules, the numerical value $M_Y=4.71\pm 0.26\mathrm{GeV}$ is consistent with the experimental data. Considering the SU(3) symmetry of the light flavor quarks and the heavy quark symmetry, we also study the bound states ${\psi }^{\prime }\sigma (400-1200)$, ${{\rm Y}}^{\prime }"f_0(980)$ and ${\rm Y}{"}^{\prime }\sigma (400-1200)$ with the QCD sum rules, and make reasonable predictions for their masses.

Comments: 18 pages, 32 figures, revised version