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Damped oscillation regular structures from the deuteron effective electromagnetic form factor data

A.-Z. Dubničková1, S. Dubnička2, and P. Weisenpacher3

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Phys. Rev. D 112, 113002 – Published 12 December, 2025

DOI: https://doi.org/10.1103/wn5j-m7l5

Abstract

The deuteron “D” is the simplest nucleus with the spin S=1, therefore its electromagnetic structure is completely described by three different form factors: the charge GC(t), magnetic GM(t), and quadrupole GQ(t), where t=−q2 is the momentum transfer squared of the electrons or the deuterons in the elastic scattering of electrons on deuterons. All three deuteron form factors are theoretically related to the functions A(t), B(t), and T20(t) to be numerically evaluated with errors, whereby A(t) and B(t) in a measurement of the differential cross section of elastic scattering of unpolarized electrons on unpolarized deuterons, and T20(t) in measurements of the elastic scattering of the longitudinally polarized electrons, respectively also on the polarized deuteron target. The obtained data are utilized to fix parameters of the deuteron electromagnetic form factors to be constructed in the form of the unitary and analytic model. Afterwards these form factors are analytically continued into the timelike region, with the aim to predict artificial behavior of the total cross section σtot(e+e−→DD¯)(s). By means of the latter, artificial data with errors on the deuteron “effective” electromagnetic form factor are produced theoretically. Finally, such data render a possibility to investigate the deuteron damped oscillation regular structures.

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Phys. Rev. D 112, 113002– Published 12 December, 2025
  • Received 2 June 2025
  • Accepted 20 October 2025
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Published by the American Physical Society under the terms of the Creative Commons Attribution 4.0 International license. Further distribution of this work must maintain attribution to the author(s) and the published article’s title, journal citation, and DOI. Funded by SCOAP3.

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