Article Dans Une Revue Phys.Lett.B Année : 2025

Flyby-induced displacement: analytic solution

Résumé

Approximating the derivative-of-the-Gaussian profile proposed by Gibbons and Hawking by the hyperbolic Scarf potential, the scattering of particles by a gravitational wave generated by flyby is described analytically by following the Nikiforov-Uvarov method applied to the Scarf potential. Pure displacement arises when the wave zone contains an integer number of half-waves. The results confirm the prediction of Zel'dovich and Polnarev.

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hal-04966953 , version 1 (16-05-2025)

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P.-M Zhang, Z.K Silagadze, P.A Horvathy. Flyby-induced displacement: analytic solution. Phys.Lett.B, 2025, 868, pp.139687. ⟨10.1016/j.physletb.2025.139687⟩. ⟨hal-04966953⟩
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