Quantum interference of rho0- and omega-mesons in the pi N -> e+e- N reaction

Abstract

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.

25 pages, 22 figures

References in corpus (4)

• Relativistic chiral SU(3) symmetry, large N_c sum rules and meson-baryon scattering
• The role of Delta(1700) excitation and rho production in double pion photoproduction
• DRAFT: Photoproduction of the ${\rho }^0$ meson on the proton at large momentum transfer
• Isoscalar-Isovector Interferences in $\pi N\to N{e}^{+}{e}^{-}$ Reactions as a Probe of Baryon Resonance Dynamics

Cited by in corpus (18)

• The High-Acceptance Dielectron Spectrometer HADES
• Di-Electron Bremsstrahlung in Intermediate-Energy pn and Dp Collisions
• Inclusive dielectron spectra in p+p collisions at 3.5 GeV
• Dilepton production in heavy ion collisions at intermediate energies
• Polarization and dilepton anisotropy in pion-nucleon collisions
• A covariant model for the decuplet to octet Dalitz decays
• eta-prime Meson Production in Nucleon-Nucleon Collisions Near The Threshold
• Q^2-evolution of nucleon-to-resonance transition form factors in a QCD-inspired vector-meson-dominance model
• Role of baryon resonances in the ${\pi }^{-}p\to n{e}^{+}{e}^{-}$ reaction within an effective-Lagrangian model
• Quantum interferences in the $\gamma N\to e^{+}{e}^{-}N$ reaction close to the vector meson production threshold
• $\omega -\pi {\gamma }^{\ast }$ transition form factor in proton-proton collisions
• Dilepton production in elementary and in heavy ion reactions
• Di-electrons from $\eta$ meson Dalitz decay in proton-proton collisions
• Electroproduction, photoproduction, and inverse electroproduction of pions in the first resonance region
• In-medium modification and decay asymmetry of omega mesons in cold nuclear matter
• Dilepton Production in Transport-based Approaches
• Baryon Resonance Dynamics in pi N \to N V Reactions Near Threshold
• The $\pi N\to e^{+}{e}^{-}N$ reaction close to the vector meson production threshold