ϕK^{+}K^{-} production in electron-positron annihilation

Abstract

In this work we study the e^{+}e^{-}\toϕK^{+}K^{-} reaction. The leading order electromagnetic contributions to this process involve the γ*ϕ K^{+}K^{-} vertex function with a highly virtual photon. We calculate this function at low energies using RχPT supplemented with the anomalous term for the VV'P interactions. Tree level contributions involve the kaon form factors and the K*K transition form factors. We improve this result, valid for low photon virtualities, replacing the lowest order terms in the kaon form factors and K*K transition form factors by the form factors as obtained in UχPT in the former case and the ones extracted from recent data on e^{+}e^{-}\to KK* in the latter case. We calculate rescattering effects which involve meson-meson amplitudes. The corresponding result is improved using the unitarized meson-meson amplitudes containing the scalar poles instead of the lowest order terms. Using the BABAR value for BR(X\to ϕf_{0})Γ(X\to e^{+} e^{-}), we calculate the contribution from intermediate X(2175). A good description of data is obtained in the case of destructive interference between this contribution and the previous ones, but more accurate data on the isovector K*K transition form factor is required in order to exclude contributions from an intermediate isovector resonance to e^{+}e^{-}\to ϕ K^{+}K^{-} around 2.2 GeV.

21 pages, 17 figures. Revised version to appear in Phys. Rev. D. Contributions of intermediate X(2175) included. Extraction of form factors updated

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Cited by in corpus (19)

• Cross Sections for the Reactions e+e- --> K+ K- pi+pi-, K+ K- pi0pi0, and K+ K- K+ K- Measured Using Initial-State Radiation Events
• Hadron Production via e+e- Collisions with Initial State Radiation
• On the ϕ(1020)f_0(980) S-wave scattering and the Y(2175) resonance
• Selected strong decays of $\eta (2225)$ and $\varphi (2170)$ as $\Lambda \bar{\Lambda }$ bound states
• Observation of a resonant structure in $e^{+}{e}^{-}\to K^{+}{K}^{-}{\pi }^0{\pi }^0$
• The meson-exchange model for the $\Lambda \bar{\Lambda }$ interaction
• A possible partner state of the $Y(2175)$
• Mass spectrum and strong decays of strangeonium in a constituent quark model
• $S$- and $P$-wave fully-strange tetraquark states from QCD sum rules
• The $ss\bar{s}\bar{s}$ tetraquark states and the newly observed structure $X(2239)$ by BESIII Collaboration
• Is the $Y(2175)$ a Strangeonium Hybrid Meson?
• The phi(1020) a0(980) S-wave scattering and hints for a new vector-isovector resonance
• The $X(2239)$ and $\eta (2225)$ as hidden-strange molecular states from $\Lambda \bar{\Lambda }$ interaction
• Production of $\varphi (2170)$ and $\eta (2225)$ in a kaon induced reaction
• The ground states and the first radially excited states of D-wave vector $\rho$ and $\varphi$ mesons
• The fully-light vector tetraquark states with explicit P-wave via the QCD sum rules
• Is there an isovector companion of the X(2175)?
• Measurement of the $e^{+}{e}^{-}\to K_S^0{K}_L^0{\pi }^0$ cross sections from $\sqrt{s}=$ 2.000 to 3.080 GeV
• $\varphi (2170)$ decaying to $\varphi \pi \pi$ and $\varphi K\bar{K}$