Traces of the new $a_0(1780)$ resonance in the $J/\psi \to \varphi K^{+}{K}^{-}(K^0{\bar{K}}^0)$ reaction

Abstract

We study the $J/\psi \to \varphi K\bar{K}$ decay, looking for differences in the production rates of $K^{+}{K}^{-}$ or $K^0{\bar{K}}^0$ in the region of 1700-1800 MeV, where two resonances appear dynamically generated from the vector-vector interaction. Two resonances are known experimentally in that region, the $f_0(1710)$ and a new resonance reported by the BABAR and BESIII collaborations. The $K\bar{K}$ should be produced with $I=0$ in that reaction, but due to the different $K^{\ast 0}$ and $K^{\ast +}$ masses some isospin violation appears. Yet, due to the large width of the $K^{\ast }$, the violation obtained is very small and the rates of $K^{+}{K}^{-}$ or $K^0{\bar{K}}^0$ production are equal within $5\%$. However, we also find that due to the step needed to convert two vectors into $K\bar{K}$, a shape can appear in the $K\bar{K}$ mass distribution that can mimic the $a_0$ production around the $K^{\ast }{\bar{K}}^{\ast }$ threshold, and is simply a threshold effect.

13 pages; 11 figures

References in corpus (14)

• Constituent quark model study of the meson spectra
• 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
• Hidden gauge formalism for the radiative decays of axial-vector mesons
• How much is the compositeness of a bound state constrained by $a$ and $r_0$? The role of the interaction range
• $f_0(500)$, $f_0(980)$ and $a_0(980)$ production in the ${\chi }_{c1}\to \eta {\pi }^{+}{\pi }^{-}$ reaction
• Predictions for ${\eta }_c\to \eta {\pi }^{+}{\pi }^{-}$ producing $f_0(500)$, $f_0(980)$ and $a_0(980)$
• The $D_s^{+}\to {\pi }^{+}{K}_s^0{K}_s^0$ reaction \\and the $I=1$ partner of the $f_0(1710)$ state
• 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 $f_0(1710)$
• Gravitational wave constraints on spatial covariant gravities
• Newly observed $a_0(1817)$ as the scaling point of constructing the scalar meson spectroscopy
• Repercussion of the $a_0(1710)$ [$a_0(1817)$] resonance and future developments
• ${\chi }_{c1}$ decays into a pseudoscalar meson and a vector-vector molecule

Cited by in corpus (4)

• Exploring kaon induced reactions for unraveling the nature of the scalar meson $a_0(1817)$
• Unveiling the $a_0(1710)$ nature in the process $J/\psi \to {\bar{K}}^0{K}^{+}{\rho }^{-}$
• $J/\psi$ 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
• Role of $a_0(1710)$ in the $J/\psi \to {\rho }^{+}{\rho }^{-}\omega$ and $J/\psi \to \gamma {\rho }^0\omega$ reactions