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Scattering-state solutions to the Dirac spinors with negative-energy eigenstates in a rotating spheroid
Zhao, Xin-Jun1,2; Tan, Jun3; Yang, Xiao-Feng2,4,5,6,7
2023-02-06
Source PublicationASTRONOMISCHE NACHRICHTEN
ISSN0004-6337
Volume344Issue:1-2Pages:e230001
Contribution Rank2
AbstractBased on the work of Fu et al. (2020), we derive the rest seven scattering-state solutions to the Dirac equation when E = -im and establish a relation between differential scattering cross-section, sigma(i & lowast;)(p, theta, phi), and stellar matter density, mu, using the long-wave approximation. It is found that the sensitivity of average scattering cross-sections ai(p, 19) to the change in the stellar matter density is proportional to mu(2). We find that the average scattering amplitudes f i(p, theta), as well as average scattering cross-sections sigma(i)(p, theta), are independent of the masses of particles, m, for four scattering states x((i)), i = 0, 1, 2 and 3, while f (i)(p, theta) and sigma(i & lowast;)(p, theta) depend on m, for the rest four scattering states, phi((i)), i = 0, 1, 2 and 3. By measuring the scattering cross-section, we can determine the density of the ellipsoid and obtain its gravitational properties. This work will be useful in understanding the properties of anti-Dirac spinors and the physical effects in a rotating spheroid.
KeywordDirac spinor negative-energy eigenstate scattering amplitude
DOI10.1002/asna.20230001
Indexed BySCI
Language英语
WOS KeywordBRAKING INDEXES ; EQUATION
Funding ProjectChinese Academy of Sciences Hundred Talents Program[2019-85]
WOS Research AreaAstronomy & Astrophysics
WOS SubjectAstronomy & Astrophysics
WOS IDWOS:000930420400001
PublisherWILEY-V C H VERLAG GMBH
Funding OrganizationChinese Academy of Sciences Hundred Talents Program
Conference Name10th International Workshop on Astronomy and Relativistic Astrophysics: from Quarks to Cosmos
Conference PlaceHotel Soleil La Antigua, Antigua Guatemala, Guatemala
Conference Date5-9 September 2022
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Document Type期刊论文
Identifierhttp://ir.xao.ac.cn/handle/45760611-7/5076
Collection中国科学院新疆天文台
Corresponding AuthorYang, Xiao-Feng
Affiliation1.Yili Normal Univ, Coll Phys Sci & Technol, Xinjiang Lab Phase Transit & Microstruct Condensed, Yili, Xinjiang, Peoples R China
2.Chinese Acad Sci, Xinjiang Astron Observ, Urumqi, Xinjiang, Peoples R China
3.Yuncheng Univ, Sch Math & Informat Technol, Yuncheng, Shanxi, Peoples R China
4.Univ Roma La Sapienza, ICRA, Rome, Italy
5.Univ Roma La Sapienza, Dipartimento Fis, Rome, Italy
6.Int Ctr Relativist Astrophys Network, Pescara, Italy
7.Chinese Acad Sci, Xinjiang Astron Observ, 150,Sci 1 St, Urumqi 830011, Xinjiang, Peoples R China
First Author AffilicationXinjiang Astronomical Observatory, Chinese Academy of Sciences
Corresponding Author AffilicationXinjiang Astronomical Observatory, Chinese Academy of Sciences
Recommended Citation
GB/T 7714
Zhao, Xin-Jun,Tan, Jun,Yang, Xiao-Feng. Scattering-state solutions to the Dirac spinors with negative-energy eigenstates in a rotating spheroid[J]. ASTRONOMISCHE NACHRICHTEN,2023,344(1-2):e230001.
APA Zhao, Xin-Jun,Tan, Jun,&Yang, Xiao-Feng.(2023).Scattering-state solutions to the Dirac spinors with negative-energy eigenstates in a rotating spheroid.ASTRONOMISCHE NACHRICHTEN,344(1-2),e230001.
MLA Zhao, Xin-Jun,et al."Scattering-state solutions to the Dirac spinors with negative-energy eigenstates in a rotating spheroid".ASTRONOMISCHE NACHRICHTEN 344.1-2(2023):e230001.
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