New insights into the oscillation of the nucleon electromagnetic form factors

Abstract

The electromagnetic form factors of the proton and the neutron in the timelike region are investigated. Electron-positron annihilation into antinucleon-nucleon ($\bar{N}N$) pairs is treated in distorted wave Born approximation, including the final-state interaction in the $\bar{N}N$ system. The latter is obtained by a Lippmann-Schwinger equation for $\bar{N}N$ potentials derived within SU(3) chiral effective field theory. By fitting to the phase shifts and (differential) cross section data, a high quality description is achieved. With these amplitudes, the oscillations of the electromagnetic form factors of the proton and the neutron are studied. It is found that each of them can be described by two fractional oscillators. One is characterized as \lq overdamped' and dominates near the threshold, while the other is \lq underdamped' and plays an important role in the high-energy region. These two oscillators are essential to understand the distributions of polarized electric charges induced by hard photons for the nucleons.

11 pages, 8 figures, to be the same as the published version

References in corpus (24)

• Chiral effective field theory and nuclear forces
• Improved chiral nucleon-nucleon potential up to next-to-next-to-next-to-leading order
• Nucleon Electromagnetic Form Factors
• Theoretical Constraints and Systematic Effects in the Determination of the Proton Form Factors
• New Features in the Electromagnetic Structure of the Neutron
• New insights into the nucleon's electromagnetic structure
• The electromagnetic form factors of the proton in the timelike region
• Study of the process $e^{+}{e}^{-}\to n\bar{n}$ at the VEPP-2000 $e^{+}{e}^{-}$ collider with the SND detector
• Measurement of the proton form factor by studying $e^{+}{e}^{-}\to p\bar{p}$
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• Periodic interference structures in the time-like proton form factor
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• The electromagnetic form factors of the $\Lambda$ in the timelike region
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• Dispersion-theoretical analysis of the electromagnetic form factors of the nucleon: Past, present and future
• Study of the process $e^{+}{e}^{-}\to p\bar{p}$ via initial state radiation at BESIII
• Hyperon electromagnetic form factors in the timelike region
• New fit of time-like proton electromagnetic form factors from $e^{+}{e}^{-}$ colliders
• Re-examining the $X(4630)$ resonance in the reaction $e^{+}{e}^{-}\to {\Lambda }_c^{+}{\bar{\Lambda }}_c^{-}$
• Timelike nucleon electromagnetic form factors: All about interference of isospin amplitudes
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Cited by in corpus (5)

• $e^{+}{e}^{-}\to {\Lambda }_c^{+}{\bar{\Lambda }}_c^{-}$ cross sections and the ${\Lambda }_c^{+}$ electromagnetic form factors within the extended vector meson dominance model
• Understanding oscillating features of the timelike nucleon electromagnetic form factors within the extending vector meson dominance model
• Reexamination of antinucleon-nucleon interactions in covariant chiral effective field theory
• Microscopic parametrization of the near threshold oscillations of the nucleon time-like effective electromagnetic form factors
• Baryon Form Factors