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

Autor: Zétényi, Miklós, Nitt, Deniz, Buballa, Michael, Galatyuk, Tetyana
Rok vydání: 2020
Předmět:
Zdroj: Phys. Rev. C 104, 015201 (2021)
Druh dokumentu: Working Paper
DOI: 10.1103/PhysRevC.104.015201
Popis: We present a study of the reaction $\pi^-p \to ne^+e^-$ for $\sqrt{s}=1.49\,\textrm{GeV}$, 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.
Comment: 22 pages, 6 figures; data files for Figures 2-6 are provided
Databáze: arXiv