Role of baryon resonances in the ${\pi }^{-}p\to n{e}^{+}{e}^{-}$ reaction within an effective-Lagrangian model

Abstract

We present a study of the reaction ${\pi }^{-}p\to n{e}^{+}{e}^{-}$ for $\sqrt{s}=1.49\text{GeV}$, including non-resonant Born terms and contributions of the $N(1440)$, $N(1520)$, $N(1535)$ resonances ($R$), using an effective-Lagrangian model, which we extended by a phenomenological phase factor at the $RN\rho$ vertex function. We give predictions for both the differential cross section $d\sigma /dm$ and the spin density matrix elements of the virtual photon that decays into the lepton pair. In the studied energy range, the cross section is dominated by the Born and $N(1520)$ contributions.

arXiv comment22 pages, 6 figures; data files for Figures 2-6 are provided

References in corpus (21)

• First Measurement of the rho Spectral Function in High-Energy Nuclear Collisions
• Rho-omega mixing, vector meson dominance and the pion form-factor
• Medium Modifications of the Rho Meson at CERN/SPS Energies
• The Spectral Function of the Rho Meson in Nuclear Matter
• A unitary model for meson-nucleon scattering
• Thermal Dileptons as Fireball Thermometer and Chronometer
• Nucleon Resonance Transition Couplings to Vector Mesons
• Modification of the rho meson detected by low-mass electron-positron pairs in central Pb-Au collisions at 158 A GeV/c
• The Chiral Restoration Transition of QCD and Low Mass Dileptons
• Chiral approach to the rho meson in nuclear matter
• Consistent interactions for high-spin fermion fields
• Electromagnetic transition form factors and dilepton decay rates of nucleon resonances
• Rôle of the pion electromagnetic form factor in the $\Delta (1232)\to {\gamma }^{\ast }N$ timelike transition
• Quantum interference of rho0- and omega-mesons in the pi N -> e+e- N reaction
• Measurement of dielectron production in central Pb-Pb collisions at $\sqrt{{\text{s}}_{\mathrm{NN}}}$ = 2.76 TeV
• ${\gamma }^{\ast }N\to N^{\ast }(1520)$ form factors in the timelike regime
• Isoscalar-Isovector Interferences in $\pi N\to N{e}^{+}{e}^{-}$ Reactions as a Probe of Baryon Resonance Dynamics
• Two-Pion production in the second resonance region in ${\pi }^{-}p$ collisions with HADES
• Polarization and dilepton anisotropy in pion-nucleon collisions
• Dilepton production in pion-nucleon collisions in an effective field theory approach
• Covariant model for the Dalitz decay of the $N(1535)$ resonance

Cited by in corpus (2)

• Meson cloud contributions to the Dalitz decays of decuplet to octet baryons
• Dilepton Decay of Low-mass $\rho$ Mesons