The Y(4260) as a $J/\psi K\bar{K}$ system

Abstract

A study of the $J/\psi \pi \pi$ and $J/\psi K\bar{K}$ systems, treating them as coupled channels, has been made by solving the Faddeev equations, with the purpose of investigating the possibility of generation of the $J^{PC}=1^{--}$, Y(4260) resonance due to the interaction between these three mesons. In order to do this, we start by solving the Bethe-Salpeter equation for the two pseudoscalar and for the vector-pseudocalar meson systems using the amplitudes obtained from the lowest order chiral Lagrangians as potentials. With the $t$-matrices generated from these potentials, which contain the poles of the $\sigma$, $f_0(980)$ and $a_0(980)$ resonances for the pseudoscalar-pseudoscalar system and the pole of the X(3872), alongwith other new charmed resonant states, for the vector-pseudoscalar system, we solve the Faddeev equations. As a result, we get a peak around 4150 MeV with a width $\sim$ 90 MeV when the invariant mass of the two pseudoscalars is close to that of the $f_0(980)$.

Published version; some typo corrected

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Cited by in corpus (53)

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• Selected strong decay modes of Y(4260)
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• Investigating possible decay modes of $Y(4260)$ under the $D_1(2420)\bar{D}+c.c$ molecular state ansatz
• Few-body systems consisting of mesons
• Strong decays of the $XYZ$ states
• The $P$-wave $[cs][\bar{c}\bar{s}]$ tetraquark state: Y(4260) or Y(4660)?
• Lowest vector tetraquark states: $Y(4260/4220)$ or $Z_c(4100)$
• Bound state formation in the $DDK$ system
• Exotic $1^{--}$ States in QCD Sum Rules
• Vector tetraquark state candidates: $Y(4260/4220)$, $Y(4360/4320)$, $Y(4390)$ and $Y(4660/4630)$
• Theoretical support for the $\pi (1300)$ and the recently claimed $f_0(1790)$ as molecular resonances
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• Study of the $DKK$ and $DK\bar{K}$ systems
• Cross section line shape of $e^{+}{e}^{-}\to {\chi }_{c0}\omega$ around the $Y(4260)$ mass region
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• Reanalysis of the $e^{+}{e}^{-}\to (D^{\ast }{\bar{D}}^{\ast }{)}^{\pm }{\pi }^{\mp }$ reaction and the claim for the $Z_c(4025)$ resonance
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• Pseudotensor mesons as three-body resonances
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• Prediction of new states from $D^{(\ast )}{B}^{(\ast )}{\bar{B}}^{(\ast )}$ three-body interactions
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• Understanding close-lying exotic charmonia states within QCD sum rules
• On the origin of the $Y(4260)$
• Search for the $B\to Y(4260)K,Y(4260)\to J/\psi {\pi }^{+}{\pi }^{-}$ decays
• Predictions of super-exotic heavy mesons from $K^{\ast }{B}^{\ast }{B}^{\ast }$ interactions
• Looking for bound states and resonances in the ${\eta }^{\prime }K\bar{K}$ system
• Study of the $\bar{K}N$ system and coupled channels in a finite volume
• Three-body strong decays of the $Y(4230)$ via the light-cone QCD sum rules
• Dynamically generated states from the $\eta K^{\ast }{\bar{K}}^{\ast }$, $\pi K^{\ast }{\bar{K}}^{\ast }$, and $K{K}^{\ast }{\bar{K}}^{\ast }$ systems within the fixed-center approximation
• Vector- and Pseudoscalar-baryon coupled channel systems
• Partial Wave Analysis of $e^{+}{e}^{-}\to {\pi }^{+}{\pi }^{-}J/\psi$ and Cross Section Measurement of $e^{+}{e}^{-}\to {\pi }^{\pm }{Z}_c(3900{)}^{\mp }$ from 4.1271 to 4.3583 GeV
• Study of the $e^{+}{e}^{-}\to {\pi }^{+}{\pi }^{-}\omega$ process at center-of-mass energies between 4.0 and 4.6 GeV
• Ballistic Lévy walk with rests: Escape from a bounded domain
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• The $Y(4260)$ and $Y(4360)$ enhancements within coupled-channels