The scattering of scalar fields in the Newtonian approximation. Issue 1 (10th February 2021)

• Record Type: Journal Article
• Authors: Chen, Jian‐Ling; Gao, Zhi‐Fu; Li, Yong‐Hong; Ma, Zi‐Wei
• Other Names: Zen Vasconcellos C.A. guestEditor.; Hess P.O. guestEditor.; Piccinelli G. guestEditor.; Vargas Magaña M. guestEditor.; Ureña-Lopez L. guestEditor.; González Felipe R. guestEditor.; Boller Th. guestEditor.; Gullberg S. guestEditor.
• Is Part Of: Astronomische Nachrichten. Volume 342:Issue 1/2(2021)
• Page Start: 288
• Page End: 293
• Publication Date: 2021-02-10
• Subjects: Maclaurin spheroid -- Newtonian approximation -- scattering -- scalar fields; Astronomy -- Periodicals; 520.5
• DOI: 10.1002/asna.202113921
• Languages: English
• ISSNs: 0004-6337

Abstract

Abstract: 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.