Physics – Nuclear Physics – Nuclear Theory
Scientific paper
2002-02-15
Nucl.Phys.A713:97-118,2003
Physics
Nuclear Physics
Nuclear Theory
25 pages, 22 figures
Scientific paper
10.1016/S0375-9474(02)01294-0
The study of the $\pi N\to \rho^0 N$ and $\pi N \to \omega N$ amplitudes below and close to the vector meson production threshold ($1.4<\sqrt s <1.8$ GeV)reveals a rich structure arising from the presence of baryon resonances in this energy range. These resonances are reflected in the interference pattern of the $e^+e^-$ decays of the $\rho^0$- and $\omega$-mesons produced in $\pi^- p$ and $\pi^+ n$ reactions. We discuss the shape and magnitude of the $\rho^0$-$\omega$ interference in the $\pi^-p \to e^+e^- n$ and $\pi^+n \to e^+e^- p$ reaction cross sections as functions of the total center of mass energy $\sqrt s$. We find contrasted results: the interference is largely destructive for the $\pi^-p \to e^+e^- n$ cross section but constructive for the $\pi^+n \to e^+e^- p$ cross section. An experimental study of these reactions would provide significant constraints on the coupling of vector meson-nucleon channels to low-lying baryon resonances.
Friman Bengt
Lutz Matthias F. M.
Soyeur Madeleine
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