$N\bar{N}$ production in $e^{+}{e}^{-}$ annihilation near the threshold revisited

Abstract

Production of $p\bar{p}$ and $n\bar{n}$ pairs in $e^{+}{e}^{-}$ annihilation near the threshold of the process is discussed with account for the new experimental data appeared recently. Since a significant part of these new data was obtained at energies noticeably exceeding the threshold, we also take into account the form factor describing the amplitude of $N\bar{N}$ pair production at small distances. The effective optical potential, which describes a sharp dependence of the $N\bar{N}$ production cross sections near the threshold, consists of the central potential for $S$ and $D$ waves and the tensor potential. These potentials differ for the states with isospin $I=0$ and $I=1$ of $N\bar{N}$ pair. The optical potential describes well $N\bar{N}$ scattering phases, the cross sections of $p\bar{p}$ and $n\bar{n}$ production in $e^{+}{e}^{-}$ annihilation near the threshold, the electromagnetic form factors $G_E$ and $G_M$ for protons and neutrons, as well as the cross sections of the processes $e^{+}{e}^{-}\to 6\pi$ and $e^{+}{e}^{-}\to K^{+}{K}^{-}{\pi }^{+}{\pi }^{-}$.

8 pages, 5 figures

References in corpus (10)

• Observation of a near-threshold enhancement in the e+e- -->Lambda_c+Lambda_c- cross section using initial-state radiation
• The electromagnetic form factors of the proton in the timelike region
• Measurement of the proton form factor by studying $e^{+}{e}^{-}\to p\bar{p}$
• Study of the process $e^{+}{e}^{-}\to n\bar{n}$ at the VEPP-2000 $e^{+}{e}^{-}$ collider with the SND detector
• The electromagnetic form factors of the $\Lambda$ in the timelike region
• Energy-dependent partial-wave analysis of all antiproton-proton scattering data below 925 MeV/c
• On the strong energy dependence of the e^+e^- to ppbar amplitude near threshold
• Study of the process $e^{+}{e}^{-}\to p\bar{p}$ via initial state radiation at BESIII
• Final-state interaction in the process $e^{+}{e}^{-}\to {\Lambda }_c{\bar{\Lambda }}_c$
• Final State Interaction Effects in the $e^{+}{e}^{-}\to N\bar{N}$ Process near Threshold

Cited by in corpus (9)

• Toy model to understand oscillatory behavior in timelike nucleon form factors
• Understanding oscillating features of the timelike nucleon electromagnetic form factors within the extending vector meson dominance model
• Natural explanation of recent results on $e^{+}{e}^{-}\to \Lambda \bar{\Lambda }$
• Coupled channels and production of near-threshold $B^{(\ast )}{\bar{B}}^{(\ast )}$ resonances in $e^{+}{e}^{-}$ annihilation
• Production of $D^{(\ast )}{\bar{D}}^{(\ast )}$ near the thresholds in $e^{+}{e}^{-}$ annihilation
• Near-threshold resonance in $e^{+}{e}^{-}\to {\Lambda }_c{\bar{\Lambda }}_c$ process
• Meson production in $J/\psi$ decays and $J/\psi \to N\bar{N}\gamma$ process
• Coupled-channel analysis of the near-threshold $e^{+}{e}^{-}\to N\bar{N}$ cross sections
• Measurement of the neutron timelike electric and magnetic form factors ratio at the VEPP-2000 $e^{+}{e}^{-}$ collider