Institutional Repository of Radio Astronomy Research Laboratory
| The scattering of Dirac spinors in rotating spheroids | |
Gao, Zhi Fu1,2 ; Chen, Ci Xing3; Wang, Na1
| |
| 2020-06-29 | |
| Source Publication | EUROPEAN PHYSICAL JOURNAL C
 |
| ISSN | 1434-6044 |
| Volume | 80Issue:6Pages:582 |
| Contribution Rank | 1 |
| Abstract | There are many stars that are rotating spheroids in the Universe, and studying them is of very important significance. Since the times of Newton, many astronomers and physicists have researched gravitational properties of stars by considering the moment equations derived from Eulerian hydrodynamic equations. In this paper we study the scattering of spinors of the Dirac equation, and in particular investigate the scattering issue in the limit case of rotating Maclaurin spheroids. Firstly we give the metric of a rotating ellipsoid star, then write the Dirac equation under this metric, and finally derive the scattering solution to the Dirac equation and establish a relation between differential scattering cross-section, sigma, and stellar matter density, mu. It is found that the sensitivity of sigma to the change in mu is proportional to the density mu. Because of the weak gravitational field and the constant mass density, our results are reasonable. The results can be applied to white dwarfs, main sequence stars, red giants, supergiant stars and so on, as long as their gravitational fields are so weak that they can be treated in the Newtonan approximations, and the fluid is assumed to be incompressible. Notice that we take the star's matter density to be its average density and the star is not taken to be compact. Obviously our results cannot be used to study neutron stars and black holes. In particular, our results are suitable for white dwarfs, which have average densities of about 105-106 g cm-3, corresponding to a range of mass of about 0.21-0.61M? and a range of radius of about 6000-10,000 km. |
| DOI | 10.1140/epjc/s10052-020-8140-2 |
| URL | 查看原文 |
| Indexed By | SCI |
| Language | 英语 |
| WOS Keyword | EQUATIONS |
| Funding Project | National Key Research and Development Program of China[2018YFA0404602] ; Chinese National Science Foundation[11673056] ; Chinese National Science Foundation[11173042] ; Chinese National Science Foundation[U1831120] ; Xinjiang Natural Science Foundation[2018D01A24] ; Guizhou provincial Science and Technology Project[[2017]7349] ; Guizhou provincial Science and Technology Project[[2019]1241] ; CAS Light of West China Program[2016-QNXZ-B-25] ; CAS Pioneer Hundred Talents Program ; Xiaofeng Yang's Xinjiang Tianchi Bairen project |
| WOS Research Area | Physics |
| WOS Subject | Physics, Particles & Fields |
| WOS ID | WOS:000546247100006 |
| Publisher | SPRINGER |
| Funding Organization | National Key Research and Development Program of China ; Chinese National Science Foundation ; Xinjiang Natural Science Foundation ; Guizhou provincial Science and Technology Project ; CAS Light of West China Program ; CAS Pioneer Hundred Talents Program ; Xiaofeng Yang's Xinjiang Tianchi Bairen project |
| Citation statistics | |
| Document Type | 期刊论文 |
| Identifier | http://ir.xao.ac.cn/handle/45760611-7/3557 |
| Collection | 射电天文研究室_脉冲星研究团组 |
| Corresponding Author | Chen, Ci Xing |
| Affiliation | 1.Chinese Acad Sci, Xinjiang Astron Observ, 150,Sci 1 St, Urumqi 830011, Xinjiang, Peoples R China 2.Chinese Acad Sci, Key Lab Radio Astron, Nanjing 210008, Jiangsu, Peoples R China 3.Univ Sci & Technol China, CAS, Dept Astron, Hefei 230026, Peoples R China |
| First Author Affilication | Xinjiang Astronomical Observatory, Chinese Academy of Sciences |
| Recommended Citation GB/T 7714 | Gao, Zhi Fu,Chen, Ci Xing,Wang, Na. The scattering of Dirac spinors in rotating spheroids[J]. EUROPEAN PHYSICAL JOURNAL C,2020,80(6):582. |
| APA | Gao, Zhi Fu,Chen, Ci Xing,&Wang, Na.(2020).The scattering of Dirac spinors in rotating spheroids.EUROPEAN PHYSICAL JOURNAL C,80(6),582. |
| MLA | Gao, Zhi Fu,et al."The scattering of Dirac spinors in rotating spheroids".EUROPEAN PHYSICAL JOURNAL C 80.6(2020):582. |
| Files in This Item: | ||||||
| File Name/Size | DocType | Version | Access | License | ||
| Gao-2020-The scatter（366KB） | 期刊论文 | 出版稿 | 开放获取 | CC BY-NC-SA | View Application Full Text | |
Items in the repository are protected by copyright, with all rights reserved, unless otherwise indicated.
Edit Comment