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Flyby-induced displacement effect: An analytic solution. / Zhang, P. M.; Silagadze, Z. K.; Horvathy, P. A.

In: Physics Letters, Section B: Nuclear, Elementary Particle and High-Energy Physics, Vol. 868, 139687, 09.2025.

Research output: Contribution to journal › Article › peer-review

Harvard

Zhang, PM, Silagadze, ZK & Horvathy, PA 2025, 'Flyby-induced displacement effect: An analytic solution', Physics Letters, Section B: Nuclear, Elementary Particle and High-Energy Physics, vol. 868, 139687. https://doi.org/10.1016/j.physletb.2025.139687

APA

Zhang, P. M., Silagadze, Z. K., & Horvathy, P. A. (2025). Flyby-induced displacement effect: An analytic solution. Physics Letters, Section B: Nuclear, Elementary Particle and High-Energy Physics, 868, [139687]. https://doi.org/10.1016/j.physletb.2025.139687

Vancouver

Zhang PM, Silagadze ZK, Horvathy PA. Flyby-induced displacement effect: An analytic solution. Physics Letters, Section B: Nuclear, Elementary Particle and High-Energy Physics. 2025 Sept;868:139687. doi: 10.1016/j.physletb.2025.139687

Author

Zhang, P. M. ; Silagadze, Z. K. ; Horvathy, P. A. / Flyby-induced displacement effect: An analytic solution. In: Physics Letters, Section B: Nuclear, Elementary Particle and High-Energy Physics. 2025 ; Vol. 868.

BibTeX

@article{c0dfd0c8ca1e4557b4c9a943d3642455,
title = "Flyby-induced displacement effect: An analytic solution",
abstract = "The motion of particles hit by a burst of gravitational waves generated by flyby admits, for the derivative-of-the-Gaussian profile, only a numerical description. The profile can however be approximated by the hyperbolic Scarf potential which admits an exact analytic solution via the Nikiforov-Uvarov method. Our toy model is consistent with the prediction of Zel'dovich and Polnarev provided the wave amplitude takes certain “magical” values.",
keywords = "Displacement memory effect, Flyby, Gravitational waves, Nikiforov-Uvarov method",
author = "Zhang, {P. M.} and Silagadze, {Z. K.} and Horvathy, {P. A.}",
note = "The authors are grateful to Gary Gibbons and to M. Elbistan for discussions and to G. Natanson for correspondence. PMZ was partially supported by the National Natural Science Foundation of China (Grant No. 12375084). ",
year = "2025",
month = sep,
doi = "10.1016/j.physletb.2025.139687",
language = "English",
volume = "868",
journal = "Physics Letters, Section B: Nuclear, Elementary Particle and High-Energy Physics",
issn = "0370-2693",
publisher = "Elsevier Science Publishing Company, Inc.",

}

RIS

TY - JOUR

T1 - Flyby-induced displacement effect: An analytic solution

AU - Zhang, P. M.

AU - Silagadze, Z. K.

AU - Horvathy, P. A.

N1 - The authors are grateful to Gary Gibbons and to M. Elbistan for discussions and to G. Natanson for correspondence. PMZ was partially supported by the National Natural Science Foundation of China (Grant No. 12375084).

PY - 2025/9

Y1 - 2025/9

N2 - The motion of particles hit by a burst of gravitational waves generated by flyby admits, for the derivative-of-the-Gaussian profile, only a numerical description. The profile can however be approximated by the hyperbolic Scarf potential which admits an exact analytic solution via the Nikiforov-Uvarov method. Our toy model is consistent with the prediction of Zel'dovich and Polnarev provided the wave amplitude takes certain “magical” values.

AB - The motion of particles hit by a burst of gravitational waves generated by flyby admits, for the derivative-of-the-Gaussian profile, only a numerical description. The profile can however be approximated by the hyperbolic Scarf potential which admits an exact analytic solution via the Nikiforov-Uvarov method. Our toy model is consistent with the prediction of Zel'dovich and Polnarev provided the wave amplitude takes certain “magical” values.

KW - Displacement memory effect

KW - Flyby

KW - Gravitational waves

KW - Nikiforov-Uvarov method

UR - https://www.mendeley.com/catalogue/aff42fa7-b7ca-34e4-aaac-58195e7962b3/

UR - https://www.scopus.com/record/display.uri?eid=2-s2.0-105009111272&origin=inward&txGid=776b19ce170b0983b4b6219254a00cf4

U2 - 10.1016/j.physletb.2025.139687

DO - 10.1016/j.physletb.2025.139687

M3 - Article

VL - 868

JO - Physics Letters, Section B: Nuclear, Elementary Particle and High-Energy Physics

JF - Physics Letters, Section B: Nuclear, Elementary Particle and High-Energy Physics

SN - 0370-2693

M1 - 139687

ER -

ID: 68215297