Understanding Y(4274) and X(4320) in the $J/\psi \varphi$ invariant mass spectrum

Abstract

In this work we study the structures near 4.3 GeV in the $J/\psi \varphi$ invariant mass spectra in B meson decay process $B^{+}\to J/\psi \varphi K^{+}$ and two photon fusion process $\gamma \gamma \to J/\psi \varphi$. The Y(4274) as a $D_s{D}_{s0}$ $(2317)$ molecular is studied in the Bethe-Salpeter equation approach with quasipotential approximation. The absence of Y(4274) in $\gamma \gamma \to J/\psi \varphi$ channel can be well explained by the decay widths of Y(4274) decaying to $\gamma \gamma$ and $J/\psi \varphi$. The distribution of mass difference released by CMS collaboration is reproduced by two resonances near 4.3 GeV, Y(4274) and X(4320). The different production mechanism suggests X(4320) observed in the B decay should be the missing $3^3{P}_1$ charmonium state ${\chi }_{c1}^{\prime \prime }$ and different from X(4350) observed in two photon fusion which can be assigned as ${\chi }_{c2}^{\prime \prime }$.

Comments: 17 pages, 8 figures