The time-like electromagnetic kaon form factor

Abstract

We compute the electromagnetic charged kaon form factor in the time-like region by employing a Poincaré covariant formalism of the Bethe-Salpeter equation to study quark-antiquark bound states in conjunction with the Schwinger-Dyson equation for the quark propagator. Following a recent kindred calculation of the time-like electromagnetic pion form factor, we include the most relevant intermediate composite particles permitted by their quantum numbers in the interaction kernel to allow for a decay mechanism for the resonances involved. This term augments the usual gluon mediated interaction between quarks. For a sufficiently low energy time-like probing photon, the electromagnetic form factor is saturated by the $\rho (770)$ and $\varphi (1020)$ resonances. We assume $SU(2)$ isospin symmetry throughout. Our results for the absolute value squared of the electromagnetic form factor agree qualitatively rather well and quantitatively moderately so with available experimental data.

11 pages, 5 figures

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• Scalar, Vector and Tensor Form Factors of Pion and Kaon
• Spin-orbit correlation and spatial distributions for spin-0 hadrons
• Radially excited pion: electromagnetic form factor and the box contribution to the muon's $g-2$