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