Method for measuring the charge radii of charged hyperons from the time-like region

Abstract

We propose a novel method for measuring the charge radii of charged stable hadrons, with which the first measurement of the charge radii of the ${\Sigma }^{+}$ and the ${\Xi }^{-}$ is foreseen. The method explores the facts that the Dalitz decay $\psi (2S)\to Y\bar{Y}{e}^{+}{e}^{-}$ contains the hyperon form factors and the lowest measurable four-momentum transfer squared can be as low as $\sim 4m_e^2=1.05\times 10^{-6}\mathrm{Ge}{\mathrm{V}}^2$ in the time-like region. We identify a kinematic region where the hyperon form factors are essential and propose a method for subtracting the background from the data. It is estimated that the hyperon charge radii can be measured to a precision of about {0.2~fm} with the BES\Rom{3} experiment and one order of magnitude better at the future Super $\tau$-Charm Facility. Moreover, the same method can be used to measure the charge radius of the proton, which provides an independent cross-check on the extraction of proton radius from elastic $ep$ scattering or leptonic hydrogen spectroscopy.

arXiv comment10 pages, 6 figures; PLB accepted version

References in corpus (30)

• Future Physics Programme of BESIII
• Electromagnetic excitation of the Delta(1232)-resonance
• Do hyperons exist in the interior of neutron stars ?
• The $\pi$, $K^{+}$, and $K^0$ electromagnetic form factors
• The pion: an enigma within the Standard Model
• Electromagnetic Excitation of Nucleon Resonances
• Baryon form factors in chiral perturbation theory
• On the pi pi continuum in the nucleon form factors and the proton radius puzzle
• Study of psi(2S) Decays to gamma p bar{p}, pi^0 p bar{p} and eta p bar{p} and Search for p bar{p} Threshold Enhancements
• Gauge-invariant approach to meson photoproduction including the final-state interaction
• Extraction of the neutron charge radius from a precision calculation of the deuteron structure radius
• Measurement of the Sigma^- Charge Radius by Sigma^- Electron Elastic Scattering
• The proton structure in and out of muonic hydrogen
• Dispersion-theoretical analysis of the electromagnetic form factors of the nucleon: Past, present and future
• Radiative transitions of heavy quarkonium states
• Virtual Compton scattering off the nucleon at low energies
• The proton radius: From a puzzle to precision
• The proton radius (puzzle?) and its relatives
• Electromagnetic Transition Form Factors of Baryon Resonances
• Study of the electromagnetic transitions $J/\psi \to P{l}^{+}{l}^{-}$ and probe dark photon
• Exchange currents in octet hyperon charge radii
• Systematic study of octet-baryon electromagnetic form factors in covariant chiral perturbation theory
• The $\Sigma$ and $\Xi$ electromagnetic form factors in the extended vector meson dominance model
• Electromagnetic form factors of octet baryons with the nonlocal chiral effective theory
• Theoretical Analysis of the $p\bar{p}\to {\pi }^0{e}^{+}{e}^{-}$ Process within a Regge Framework
• Analysis of the radiative decays among the charmonium states
• Observation of $J/\psi$ Electromagnetic Dalitz Decays to $X(1835)$, $X(2120)$ and $X(2370)$
• Covariant orbital-spin scheme for any spin based on irreducible tensor
• Observation of the hindered electromagnetic Dalitz decay $\psi (3686)\to e^{+}{e}^{-}{\eta }_c$
• The effective radius for production of baryon-antibaryon pairs from $\psi$ decays

Cited by in corpus (1)

• Baryon Form Factors