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The scattering of scalar fields in the Newtonian approximation
Author(s) -
Chen JianLing,
Gao ZhiFu,
Li YongHong,
Ma ZiWei
Publication year - 2021
Publication title -
astronomische nachrichten
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.394
H-Index - 63
eISSN - 1521-3994
pISSN - 0004-6337
DOI - 10.1002/asna.202113921
Subject(s) - physics , scattering , amplitude , scattering amplitude , newtonian potential , spheroid , perturbation (astronomy) , quantum electrodynamics , perturbation theory (quantum mechanics) , gravitation , scalar (mathematics) , newtonian fluid , gravitational potential , classical mechanics , computational physics , quantum mechanics , mathematics , geometry , biochemistry , chemistry , in vitro
In this paper, by using a perturbation theory, we evaluate the scattering solution to Schrödinger equation under the Newtonian gravitational potential. We find that the scattering amplitude f ( θ ) depends on the potential U , which is composed of the external part U ex and the internal part U in , respectively. The above results are related to the mass density of a rotating Maclaurin spheroid. In the future, we will further analyze the sensitivity of scattering amplitude to the change of average mass density of the spheroid.