QCD sum rule calculation for the charmonium-like structures in the J/psi phi and J/psi omega invariant mass spectra

TL;DR

This paper uses QCD sum rules to investigate whether the Y(4274) structure can be described as a molecular charmonium state, providing mass estimates that support this interpretation within uncertainties.

Contribution

The study applies QCD sum rules with condensates up to dimension ten to analyze the Y(4274) as a molecular state, offering new mass predictions and supporting its molecular nature.

Findings

Mass of D_sD_{s0} molecule: 4.80 ± 0.55 GeV

Mass of D D_{0} molecule: 4.61 ± 0.71 GeV

Y(4274) can be described as a molecular charmonium state within uncertainties.

Abstract

Using the QCD sum rules we test if the charmonium-like structure Y(4274), observed in the $J/\psi\phi$ invariant mass spectrum, can be described with a $D_s\bar{D}_{s0}(2317)+h.c.$ molecular current with $J^{PC}=0^{-+}$. We consider the contributions of condensates up to dimension ten and we work at leading order in $\alpha_s$. We keep terms which are linear in the strange quark mass $m_s$. The mass obtained for such state is $m_{D_s{D}_{s0}}=(4.80\pm 0.55)$ GeV. We also consider a molecular $0^{-+}$ $D\bar{D}_{0}(2400)+h.c.$ current and we obtain $m_{D{D}_0}=(4.61\pm 0.71)$ GeV. Our study shows that the newly observed Y(4274) in the $J/\psi\phi$ invariant mass spectra can be, considering the uncertainties, described using a molecular charmonium current.