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.

arXiv comment13 pages; 11 figures

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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