Measurement of $e^{+}{e}^{-}\to \ddot{I}‰\ddot{I}{€}^0$, $K^{\ast }(892)\bar{K}$ and $K_2^{\ast }(1430)\bar{K}$ at $\sqrt{s}$ near 10.6 GeV

Abstract

Using data samples of 89 fb${}^{-1}$, 703 fb${}^{-1}$, and 121 fb${}^{-1}$ collected with the Belle detector at the KEKB asymmetric-energy $e^{+}{e}^{-}$ collider at center-of-mass energies 10.52 GeV, 10.58 GeV, and 10.876 GeV, respectively, we study the exclusive reactions $e^{+}{e}^{-}\to \ddot{I}‰\ddot{I}{€}^0$, $K^{\ast }(892)\bar{K}$, and $K_2^{\ast }(1430)\bar{K}$ (Charge-conjugate modes are included implicitly). Significant signals of $\ddot{I}‰\ddot{I}{€}^0$, $K^{\ast }(892{)}^0{\bar{K}}^0$, and $K_2^{\ast }(1430{)}^{-}{K}^{+}$ are observed for the first time at these energies, and the energy dependencies of the cross sections are presented. On the other hand, no significant excesses for $K^{\ast }(892{)}^{-}{K}^{+}$ and $K_2^{\ast }(1430{)}^0{\bar{K}}^0$ are found, and we set limits on the cross section ratios $R_{\mathrm{VP}}=\frac{\ddot{I}{ƒ}_B(e^{+}{e}^{-}\to K^{\ast }(892{)}^0{\bar{K}}^0)}{\ddot{I}{ƒ}_B(e^{+}{e}^{-}\to K^{\ast }(892{)}^{-}{K}^{+})}>$ 4.3, 20.0, and 5.4, and $R_{\mathrm{TP}}=\frac{\ddot{I}{ƒ}_B(e^{+}{e}^{-}\to K_2^{\ast }(1430{)}^0{\bar{K}}^0)}{\ddot{I}{ƒ}_B(e^{+}{e}^{-}\to K_2^{\ast }(1430{)}^{-}{K}^{+})}<$ 1.1, 0.4, and 0.6, for center-of-mass energies of 10.52 GeV, 10.58 GeV, and 10.876 GeV, respectively, at the 90% C.L.

17 pages, 4 figures; accepted for publication as a Regular Article in Physical Review D