Further study of $f_0(1710)$ with coupled-channel approach and hadron molecular picture

Abstract

The $f_0(1710)$ was previously proposed to be dynamically generated state by interactions between vector mesons. We extend the study of $f_0(1710)$ by including its coupling to channels of pseudoscalar mesons within coupled-channel approach. The channels involved are $K^{\ast }{\bar{K}}^{\ast },\rho \rho ,\omega \omega ,\varphi \varphi ,\omega \varphi ,\pi \pi ,K\bar{K},\eta \eta$. We show that the pole assigned to $f_0(1710)$ does not change much. Then we calculate the partial decay widths of $f_0(1710)\to K^{\ast }{\bar{K}}^{\ast }\to \pi \pi ,K\bar{K},\eta \eta$ as the coupled channel dynamically generated state as well as assuming it to be pure $K^{\ast }{\bar{K}}^{\ast }$ molecule. In both cases the ratios of partial decay widths agree fairly with that in PDG.

References in corpus (35)

• Hadronic molecules
• Chiral dynamics in the presence of bound states: kaon-nucleon interactions revisited
• Chiral symmetry amplitudes in the s-wave isoscalar and isovector channels and the $\sigma ,f_0(980),a_0(980)$ scalar mesons
• Chiral Symmetry Amplitudes in the S-Wave Isoscalar and Isovector Channels and the σ, f_0(980), a_0(980) Scalar Mesons
• Chiral Dynamics of the Two Λ(1405) States
• Meson-Meson interaction in a non-perturbative chiral approach
• N/D Description of Two Meson Amplitudes and Chiral Symmetry
• Chiral Unitary approach to meson-meson and meson-baryon interactions and nuclear applications
• The inverse amplitude method in Chiral Perturbation Theory
• On the structure of the scalar mesons $f_0(975)$ and $a_0(980)$
• Vector meson-vector meson interaction in a hidden gauge unitary approach
• The ρρinteraction in the hidden gauge formalism and the f_0(1370) and f_2(1270) resonances
• Analytic properties of the scattering amplitude and resonances parameters in a meson exchange model
• Interpretation of the LHCb $P_c$ States as Hadronic Molecules and Hints of a Narrow $P_c(4380)$
• Identification of a Scalar Glueball
• Scalar nonet quarkonia and the scalar glueball: mixing and decays in an effective chiral approach
• Determining the Gluonic Content of Isoscalar Mesons
• Production of $f_0(1710)$, $f_0(1500)$, and $f_0(1370)$ in $J/\psi$ hadronic decays
• Isospin breaking decays as a diagnosis of the hadronic molecular structure of the $P_c(4457)$
• Strong decays of the latest LHCb pentaquark candidates in hadronic molecule pictures
• A coupled channel analysis of the centrally produced K+K- and pi+pi- final states in pp interactions at 450 GeV/c
• A study of the eta eta channel produced in central pp interactions at 450 GeV/c
• Chiral Suppression of Scalar Glueball Decay
• Molecular picture for the $X_0(2866)$ as a $D^{\ast }{\bar{K}}^{\ast }$ $J^P=0^{+}$ state and related $1^{+},2^{+}$ states
• Partial wave analyses of J/psi to gamma pi^+ pi^- and gamma pi^0 pi^0
• Decay behaviors of Pc hadronic molecules
• Coupled-channel approach in hadron-hadron scattering
• A chiral covariant approach to $\rho \rho$ scattering
• Interactions between vector mesons and dynamically generated resonances
• Comment on "Chiral Suppression of Scalar Glueball Decay"
• Determination of hadronic partial widths for scalar-isoscalar resonances f0(980), f0(1300), f0(1500), f_0(1750) and the broad state f0(1530^{+90}_{-250})
• The phi to pi+ pi- decay within a chiral unitary approach
• Production of ϕMesons in Near-Threshold πN and N N Reactions
• Study of ${\rm Y}(1S)$ Radiative Decays to $\gamma {\pi }^{+}{\pi }^{-}$ and $\gamma K^{+}{K}^{-}$
• $\rho \rho$ scattering revisited with coupled-channels of pseudoscalar mesons

Cited by in corpus (10)

• Study of the decay $D_s^{+}\to K_S^0{K}_S^0{\pi }^{+}$ and observation an isovector partner to $f_0(1710)$
• Two dynamical generated $a_0$ resonances by interactions between vector mesons
• Theoretical study of the process $D_s^{+}\to {\pi }^{+}{K}_S^0{K}_S^0$ and the isovector partner of $f_0(1710)$
• Theoretical study of scalar meson $a_0(1710)$ in the ${\eta }_c\to {\bar{K}}^0{K}^{+}{\pi }^{-}$ reaction
• Unveiling the $a_0(1710)$ nature in the process $J/\psi \to {\bar{K}}^0{K}^{+}{\rho }^{-}$
• Faddeev fixed-center approximation to the $\eta K^{\ast }{\bar{K}}^{\ast }$, $\pi K^{\ast }{\bar{K}}^{\ast }$ and $K{K}^{\ast }{\bar{K}}^{\ast }$ systems
• Strong decays of $a_0$, $f_0$, $f_2$, and $K_2^{\ast }$ resonances as dynamically generated states of two vector mesons
• 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
• Two-photon production of $f_0$ and $a_0$ resonances as hadronic molecules composed of two vector mesons
• The dynamically generated $h_1$ state by the $K^{\ast }{\bar{K}}^{\ast }$ interaction and its $K_1(1270)\bar{K}$ and $b_1(1235)\pi$ decays