Conserved-vector-current hypothesis and the\bar v_e e^ - \to \pi ^ - \pi ^0 process |
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Authors: | A Z Dubni?ková S Dubni?ka M P Rekalo |
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Institution: | 1. Department of Theoretical Physics, Mat.-Phys. Faculty, Comenius University, Mlynská dolina, 842 15, Bratislava, Slovakia 2. Institute of Physics, Slovak Acad. Sci., Dúbravská cesta 9, 842 28, Bratislava, Slovakia 3. Kharkov Institute of Physics and Technology, Akademicheskaya 1, 310108, Kharkov, Ukraine
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Abstract: | Based on the conserved-vector-current (CVC) hypothesis and a four-ρ-resonance unitary and analytic VMD model of the pion electromagnetic form factor, theσ tot(E v lab ) and dσdE π lab of the weak \(\bar v_e e^ - \to \pi ^ - \pi ^0\) process are predicted theoretically for the first time. Their experimental approval could verify the CVC hypothesis for all energies above the two-pion threshold. Since, unlike the electromagnetic e+e?→π+π? process, there is no isoscalar vector-meson contribution to the weak \(\bar v_e e^ - \to \pi ^ - \pi ^0\) reaction, accurate measurements of theσ tot(E v lab ) that moreover is strengthened with energyE v lab linearly could solve now a widely discussed problem of the mass specification of the first excited state of theρ(770) meson. As a by-product, an equality \(\sigma _{tot} (\bar v_e e^ - \to \pi ^ - \pi ^0 ) = \sigma _{tot} (e^ + e^ - \to \pi ^ - \pi ^0 )\) is predicted for \(\sqrt s \approx 70 GeV\) . |
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