$J/\psi$ decay to $\varphi ,\omega ,K^{\ast 0}$ plus $f_0(1370)$, $f_0(1710)$, $K_0^{\ast }(1430)$, $f_2(1270)$, $f_2^{\prime }(1525)$ and $K_2^{\ast }(1430)$: role of the $D$-wave for tensor production

Abstract

We reassess the decay of the $J/\psi$ into an $\omega ,\varphi ,K^{\ast 0}$ and one of the $f_0(1370)$, $f_0(1710)$, $f_2(1270)$, $f_2^{\prime }(1525)$, $K_0^{\ast }(1430)$ and $K_2^{\ast }(1430)$ resonances. We benefit from previous works that considered this reaction as a $J/\psi$ decay into three vector mesons, with a scalar or tensor resonance being formed from the interaction of two of these vectors. The novelty here with respect to former studies is the investigation of the relation between the scalar meson and tensor productions for the first time. To this end, the spin structure of the four vectors present in the production vertex is analyzed, and the $D$-wave mechanism in the tensor production is included. Then, beyond the ratios studied previously involving scalar states and tensor states independently, new ratios relating the scalar and tensor meson productions are estimated. Our results suggest that the $D$-wave mechanism of tensor production assumes a relevant contribution. New experimental data reporting the angular distributions of these processes will be important for checking this conclusion.

arXiv comment12 pages; 5 figures

References in corpus (49)

• Hadronic molecules
• The hidden-charm pentaquark and tetraquark states
• Multiquark Resonances
• Non-Standard Heavy Mesons and Baryons, an Experimental Review
• Pentaquark and Tetraquark states
• Heavy-Quark QCD Exotica
• Chiral Symmetry Amplitudes in the S-Wave Isoscalar and Isovector Channels and the σ, f_0(980), a_0(980) Scalar Mesons
• Chiral symmetry amplitudes in the s-wave isoscalar and isovector channels and the $\sigma ,f_0(980),a_0(980)$ scalar mesons
• Chiral Dynamics and the Low Energy Kaon-Nucleon Interaction
• Exotics: Heavy Pentaquarks and Tetraquarks
• Hidden Local Symmetry at Loop -- A New Perspective of Composite Gauge Boson and Chiral Phase Transition
• A review of the open charm and open bottom systems
• Chiral Unitary approach to meson-meson and meson-baryon interactions and nuclear applications
• Low lying axial-vector mesons as dynamically generated resonances
• Multiquark States
• On meson resonances and chiral symmetry
• A survey of heavy-heavy hadronic molecules
• Bethe-Salpeter Approach for Unitarized Chiral Perturbation Theory
• The ρρinteraction in the hidden gauge formalism and the f_0(1370) and f_2(1270) resonances
• Weak decays of heavy hadrons into dynamically generated resonances
• Dalitz plot analysis of $B_s^0\to {\bar{D}}^0{K}^{-}{\pi }^{+}$ decays
• J/Ψ\to ϕππ(K \bar{K}) decays, chiral dynamcis and OZI violation
• The XYZ states revisited
• Observation of a near-threshold enhancement in the ωϕmass spectrum from the doubly OZI suppressed decay J/ψ\to γωϕ
• Towards a new paradigm for heavy-light meson spectroscopy
• Unitary chiral dynamics in J/Psi to VPP decays and the role of scalar mesons
• Amplitude analysis of the ${\chi }_{c1}\to \eta {\pi }^{+}{\pi }^{-}$ decays
• Study of the $J/\psi \to \varphi (\omega )f_2(1270)$, $J/\psi \to \varphi (\omega )f_2^{\prime }(1525)$ and $J/\psi \to K^{\ast 0}(892){\bar{K}}_2^{\ast 0}(1430)$ decays
• A chiral covariant approach to $\rho \rho$ scattering
• Study of the $f_2(1270)$, $f_2^{\prime }(1525)$, $f_0(1370)$ and $f_0(1710)$ in the $J/\psi$ radiative decays
• Improved Analysis of J/psi Decays into a Vector Meson and Two Pseudoscalars
• $f_0(500)$, $f_0(980)$ and $a_0(980)$ production in the ${\chi }_{c1}\to \eta {\pi }^{+}{\pi }^{-}$ reaction
• Interactions between vector mesons and dynamically generated resonances
• Light meson spectroscopy from Dalitz plot analyses of ${\eta }_c$ decays to ${\eta }^{\prime }{K}^{+}{K}^{-}$, ${\eta }^{\prime }{\pi }^{+}{\pi }^{-}$, and $\eta {\pi }^{+}{\pi }^{-}$ produced in two-photon interactions
• Study of the decay $D_s^{+}\to K_S^0{K}_S^0{\pi }^{+}$ and observation an isovector partner to $f_0(1710)$
• The $D_s^{+}\to {\pi }^{+}{K}_s^0{K}_s^0$ reaction \\and the $I=1$ partner of the $f_0(1710)$ state
• The role of $f_0(1710)$ in the $\varphi \omega$ threshold peak of $J/\Psi \to \gamma \varphi \omega$
• Theoretical study of the process $D_s^{+}\to {\pi }^{+}{K}_S^0{K}_S^0$ and the isovector partner of $f_0(1710)$
• Moments of angular distribution and beam asymmetries in $\eta {\pi }^0$ photoproduction at GlueX
• On the chiral covariant approach to $\rho \rho$ scattering
• Repercussion of the $a_0(1710)$ [$a_0(1817)$] resonance and future developments
• Study of the $f_2(1270)$, $f_2^{\prime }(1525)$, ${\bar{K}}_2^{\ast }(1430)$, $f_0(1370)$ and $f_0(1710)$ production from $\psi (nS)$ and ${\rm Y}(nS)$ decays
• Theoretical description of the $\mathbf{J}/\mathbf{\psi }\to \mathbf{\eta }({\mathbf{\eta }}^{\prime }){\mathbf{h}}_1(1380)$, $\mathbf{J}/\mathbf{\psi }\to \mathbf{\eta }({\mathbf{\eta }}^{\prime }){\mathbf{h}}_1(1170)$ and $\mathbf{J}/\mathbf{\psi }\to {\mathbf{\pi }}^0{\mathbf{b}}_1(1235{)}^0$ reactions
• The ${\chi }_{cJ}$ decay to $\varphi K^{\ast }\bar{K},\varphi h_1(1380)$ testing the nature of axial vector meson resonances
• Method to observe the $J^P=2^{+}$ partner of the $X_0(2866)$ in the $B^{+}\to D^{+}{D}^{-}{K}^{+}$ reaction
• $J/\psi$ decay into $\varphi (\omega )$ and vector-vector molecular states
• ${\chi }_{c1}$ decays into a pseudoscalar meson and a vector-vector molecule
• Traces of the new $a_0(1780)$ resonance in the $J/\psi \to \varphi K^{+}{K}^{-}(K^0{\bar{K}}^0)$ reaction
• $VP\gamma$ radiative decay of resonances dynamically generated from the vector meson-vector meson interaction

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• Role of $\Xi (1690)$ in the $J/\psi \to {\Xi }^0\bar{\Lambda }{K}^0$ reaction
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• Strangeonium spectrum with the screening effects and interpretation of $h_1(1911)$ and $X(2300)$ observed by BESIII
• Role of $a_0(1710)$ in the $J/\psi \to {\rho }^{+}{\rho }^{-}\omega$ and $J/\psi \to \gamma {\rho }^0\omega$ reactions