Mass of Y(3940) in Bethe-Salpeter equation for quarks

Abstract

The general form of the Bethe-Salpeter wave functions for the bound states composed of two vector fields of arbitrary spin and definite parity is corrected. Using the revised general formalism, we investigate the observed \emph{Y}(3940) state which is considered as a molecule state consisting of $D^{\ast 0}{\bar{D}}^{\ast 0}$. Though the attractive potential between $D^{\ast 0}$ and ${\bar{D}}^{\ast 0}$ including one light meson ($\sigma$, $\pi$, $\omega$, $\rho$) exchange is considered, we find that in our approach the contribution from one-$\pi$ exchange is equal to zero and consider SU(3) symmetry breaking. The obtained mass of \emph{Y}(3940) is consistent with the experimental value.

arXiv comment19 pages, 4 figures, 1 table

References in corpus (7)

• Big-Bang Nucleosynthesis
• Observation of a near-threshold omega-J/psi mass enhancement in exclusive B-->K omega J/psi decays
• Evidence for a Narrow Near-Threshold Structure in the $J/\psi \varphi$ Mass Spectrum in $B^{+}\to J/\psi \varphi K^{+}$ Decays
• Observation of Y(3940) -> J/psi omega in B -> J/psi omega K at BABAR
• Survey of heavy-meson observables
• Y(4143) is probably a molecular partner of Y(3930)
• A global fit to determine the pseudoscalar mixing angle and the gluonium content of the eta' meson

Cited by in corpus (8)

• The hidden-charm pentaquark and tetraquark states
• Non-Standard Heavy Mesons and Baryons, an Experimental Review
• Observation of $J/\psi \varphi$ structures consistent with exotic states from amplitude analysis of $B^{+}\to J/\psi \varphi K^{+}$ decays
• Amplitude analysis of $B^{+}\to J/\psi \varphi K^{+}$ decays
• Analysis of the $B^{+}\to J/\psi \varphi K^{+}$ data at low $J/\psi \varphi$ invariant masses and the $X(4140)$ and $X(4160)$ resonances
• Radiative decay of hadronic molecule state for quarks
• Development of Bethe-Salpeter theory for dealing with unstable system
• Calculation of mass and width of unstable molecular state using the developed Bethe-Salpeter theory