Common explanation of the behavior of some $e^{+}{e}^{-}$ annihilation processes around $\sqrt{s}$ = 1.9 GeV

Abstract

We show that the behavior of the excitation curves of some $e^{+}{e}^{-}$ annihilation processes close to the nucleon-antinucleon threshold can be explained either by the $\rho (1900)$ resonance itself or by its interference with other resonances. Besides the six-pion annihilation and the $e^{+}{e}^{-}\to K^{+}{K}^{-}{\pi }^{+}{\pi }^{-}$ and $e^{+}{e}^{-}\to \Phi {\pi }^0$ processes, we also analyze the final states $\eta {\pi }^{+}{\pi }^{-}$, $K^{+}{K}^{-}{\pi }^{+}{\pi }^{-}{\pi }^0$, and $K^{+}{K}^{-}{\pi }^0{\pi }^0$, the behavior of which around 1.6 GeV has not yet attracted attention. Analysis of the data on the $e^{+}{e}^{-}\to p\bar{p}$ and $e^{+}{e}^{-}\to n\bar{n}$ reactions clearly shows that the $\rho (1900)$ resides above the $n\bar{n}$ threshold.

14 pages, 16 figures; The journal version is expanded by Appendix containing an analytic formula for the $e^{+}{e}^{-}\to \Phi {\pi }^0$ cross section

References in corpus (9)

• Hybrid Mesons
• Three dimensional image correlation from X-Ray computed tomography of solid foam
• Study of the process $e^{+}{e}^{-}\to n\bar{n}$ at the VEPP-2000 $e^{+}{e}^{-}$ collider with the SND detector
• Study of the process $e^{+}{e}^{-}\to {\pi }^{+}{\pi }^{-}\eta$ using initial state radiation
• Measurement of the $e^{+}{e}^{-}\to \eta {\pi }^{+}{\pi }^{-}$ cross section in the center-of-mass energy range 1.22--2.00 GeV with the SND detector at the VEPP-2000 collider
• Measurement of the $e^{+}{e}^{-}\to {\pi }^{+}{\pi }^{-}{\pi }^0{\pi }^0$ cross section using initial-state radiation at BaBar
• Measurement of the $e^{+}{e}^{-}\to \eta {\pi }^{+}{\pi }^{-}$ cross section with the SND detector at the VEPP-2000 collider
• Fine structure of the cross sections of $e^{+}{e}^{-}$ annihilation near the thresholds of $p\bar{p}$ and $n\bar{n}$ production
• Joint description of the e+e- annihilation into both four-pion channels

Cited by in corpus (3)

• The electromagnetic form factors of $\Lambda$ hyperon in the vector meson dominance model
• Observation of a Fine Structure in $e^{+}{e}^{-}\to$ hadrons Production at the Nucleon-antinucleon Threshold
• The electromagnetic form factors of ${\Lambda }_c$ hyperon in the vector meson dominance model