We compute the conservative scattering angle of two classical charged particles at the sixth order in electromagnetic coupling, and at the fourth order in velocity, thereby going beyond the current state of the art [fifth order in coupling, derived by Bern et al., Phys. Rev. Lett. 132, 251601 (2024)]. Our result is obtained by using the electromagnetic version of the effective one-body formalism to transfer information from the exact circular binary-charge solution of Schild [Phys. Rev. 131, 2762 (1963)] to the postLorentzian expansion of the scattering angle.
Conservative binary dynamics beyond order α5 in electrodynamics
Donato Bini
Membro del Collaboration Group
;
2025
Abstract
We compute the conservative scattering angle of two classical charged particles at the sixth order in electromagnetic coupling, and at the fourth order in velocity, thereby going beyond the current state of the art [fifth order in coupling, derived by Bern et al., Phys. Rev. Lett. 132, 251601 (2024)]. Our result is obtained by using the electromagnetic version of the effective one-body formalism to transfer information from the exact circular binary-charge solution of Schild [Phys. Rev. 131, 2762 (1963)] to the postLorentzian expansion of the scattering angle.File in questo prodotto:
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