Two dynamical generated $a_0$ resonances by interactions between vector mesons

Abstract

We study dynamically generated $a_0$ resonances by interactions between vector mesons including their coupling to channels of pseudoscalar mesons within coupled-channel approach. Both vector and pseudoscalar mesons are considered as $t$-channel exchanged mesons for calculating interactions between vector mesons. Analogous to $a_0(980)$ as a $K\bar{K}-\pi \eta$ dynamically generated state, there is an $a_0(1710)$ as a coupled channel dynamically generated state near $K^{\ast }{\bar{K}}^{\ast }$ threshold. The channels involved are $\rho \varphi ,K^{\ast }{\bar{K}}^{\ast },\rho \omega ,K\bar{K},\pi \eta$. This $a_0$ mainly decays to $\rho \omega$, $\pi \eta$ and $K\bar{K}$. This pole is much tied to the coupled channel effect. If we turn off either $\rho \varphi$ or $K^{\ast }{\bar{K}}^{\ast }$, the pole disappears. In addition, it is found that $a_0(1450)$ may also be dynamically generated by $\rho \omega$ interactions due to $\pi$ and $\eta$ exchange.

arXiv admin note: substantial text overlap with arXiv:2107.14470

References in corpus (15)

• A survey of heavy-heavy hadronic molecules
• 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
• Isospin breaking decays as a diagnosis of the hadronic molecular structure of the $P_c(4457)$
• Molecular picture for the $X_0(2866)$ as a $D^{\ast }{\bar{K}}^{\ast }$ $J^P=0^{+}$ state and related $1^{+},2^{+}$ states
• Singlet-octet-glueball mixing of scalar mesons
• The $D_s^{+}\to {\pi }^{+}{K}_s^0{K}_s^0$ reaction \\and the $I=1$ partner of the $f_0(1710)$ state
• Study of the decay $D_s^{+}\to K_S^0{K}_S^0{\pi }^{+}$ and observation an isovector partner to $f_0(1710)$
• Comment on "Chiral Suppression of Scalar Glueball Decay"
• Further study of $f_0(1710)$ with coupled-channel approach and hadron molecular picture
• $\rho \rho$ scattering revisited with coupled-channels of pseudoscalar mesons
• Interpretation of the ${\eta }_1(1855)$ as a $K{\bar{K}}_1(1400)+$ c.c. molecule

Cited by in corpus (16)

• Observation of $a_0(1710{)}^{+}\to K_S^0{K}^{+}$ in study of the $D_s^{+}\to K_S^0{K}^{+}{\pi }^0$ decay
• Theoretical study of the process $D_s^{+}\to {\pi }^{+}{K}_S^0{K}_S^0$ and the isovector partner of $f_0(1710)$
• Repercussion of the $a_0(1710)$ [$a_0(1817)$] resonance and future developments
• $P_{cc}^N$ states in a unitarized coupled-channel approach
• Exploring kaon induced reactions for unraveling the nature of the scalar meson $a_0(1817)$
• Radiative production and decays of the exotic ${\eta }_1^{\prime }(1855)$ and its siblings
• 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 $J/\psi \to {\bar{K}}^0{K}^{+}{\rho }^{-}$
• Traces of the new $a_0(1780)$ resonance in the $J/\psi \to \varphi K^{+}{K}^{-}(K^0{\bar{K}}^0)$ reaction
• Muon mass correction in partial wave analyses of charmed meson semi-leptonic decays
• Strong decays of $a_0$, $f_0$, $f_2$, and $K_2^{\ast }$ resonances as dynamically generated states of two vector mesons
• Two-photon production of $f_0$ and $a_0$ resonances as hadronic molecules composed 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
• Roles of $a_0(980)$ and $a_0(1710)$ in Cabibbo-suppressed process $D^{+}\to {\pi }^0{\pi }^{+}\eta$
• Role of $a_0(1710)$ in the $J/\psi \to {\rho }^{+}{\rho }^{-}\omega$ and $J/\psi \to \gamma {\rho }^0\omega$ reactions
• 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