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Abstract
The recent precise measurements of the e+e−→ KS KL and e+e−→ K+K− cross sections and the hadronic spectral function of the τ−→ K−KS ντ decay are used to extract the isoscalar and isovector electromagnetic kaon form factors and their relative phase in a model independent way. The experimental results are compared with a fit based on the vector-meson-dominance model.
Highlights
Kaon electromagnetic form factors are the key objects in hadron physics describing electromagnetic interaction of kaons and providing important information about their internal structure.In the timelike momentum-transfer region the form factors are usually extracted from experimental data on the reactions √e+e− → KS KL and e+e− → K+K−
In the resonance region at center-of-mass (c.m.) energies s < 2 GeV, which we discuss in this paper, a substantial improvement in the accuracy of these cross sections was achieved in the recent measurements in the BABAR [1, 2], SND [3], and CMD-3 experiments [4, 5]
The results of the fit are shown by the dashed curves (Model I) in Fig. 3 for the e+e− → K+K− and e+e− → KS KL cross sections and the τ− → K−K0ντ differential decay rate, and in Fig. 2 for the cosine of the relative phase between the isoscalar and isovector form factors
Summary
Kaon electromagnetic form factors are the key objects in hadron physics describing electromagnetic interaction of kaons and providing important information about their internal structure.In the timelike momentum-transfer region the form factors are usually extracted from experimental data on the reactions √e+e− → KS KL and e+e− → K+K−. Using data on the e+e− → KS KL and e+e− → K+K− cross sections and the hadronic spectral function in the τ− → K−K0ντ decay we can separate the isoscalar and isovector contributions and determine the moduli of the isoscalar and isovector form factors and the cosine of their relative phase:
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