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The precession of particle spin in spherical symmetric spacetimes.

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Title: The precession of particle spin in spherical symmetric spacetimes.
Authors: Pang, Xiankai1 (AUTHOR) xkpang@cwnu.edu.cn, Jiang, Qingquan1 (AUTHOR) qqjiangphys@yeah.net, Xiang, Yunchuan1 (AUTHOR) xiang_yunchuan@yeah.net, Deng, Gao-Ming1 (AUTHOR) gmd2014cwnu@126.com
Source: European Physical Journal C -- Particles & Fields. Feb2025, Vol. 85 Issue 2, p1-15. 15p.
Subjects: Particle spin, WKB approximation, Speed of light, Geometrical optics, Spacetime
Abstract: In this work, we will explore the precession of particle spins in spherical spacetimes. We first argue that the geometrical optics (WKB) approximation is insufficient, due to the absence of a glory spot in the backward scattering of massless particles, making an analysis of spin precession necessary. We then derive the precession equation assuming the spin is parallel transported, which is supported by the sub-leading order of the WKB approximation. The precession equation applies to both massless and massive particles. For particles moving at the speed of light, we show that spin is always reversed after backward scattering in any spherically symmetric spacetime, confirming the absence of a glory spot for massless particles. Finally, we solve the precession equation for Schwarzschild and Reissner–Nordström spacetimes and discuss the spin precession of massive particles, particularly in the non-relativistic limit. We find that, in Schwarzschild spacetime, the spin precession for particles moving with very small velocities compared to the speed of light depends only on the deflection angle, while in Reissner–Nordström spacetime, it also depends on the black hole charge, as revealed by the expansion derived from the strong lensing approximation. [ABSTRACT FROM AUTHOR]
Copyright of European Physical Journal C -- Particles & Fields is the property of Springer Nature and its content may not be copied or emailed to multiple sites without the copyright holder's express written permission. Additionally, content may not be used with any artificial intelligence tools or machine learning technologies. However, users may print, download, or email articles for individual use. This abstract may be abridged. No warranty is given about the accuracy of the copy. Users should refer to the original published version of the material for the full abstract. (Copyright applies to all Abstracts.)
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  Data: The precession of particle spin in spherical symmetric spacetimes.
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  Data: <searchLink fieldCode="AR" term="%22Pang%2C+Xiankai%22">Pang, Xiankai</searchLink><relatesTo>1</relatesTo> (AUTHOR)<i> xkpang@cwnu.edu.cn</i><br /><searchLink fieldCode="AR" term="%22Jiang%2C+Qingquan%22">Jiang, Qingquan</searchLink><relatesTo>1</relatesTo> (AUTHOR)<i> qqjiangphys@yeah.net</i><br /><searchLink fieldCode="AR" term="%22Xiang%2C+Yunchuan%22">Xiang, Yunchuan</searchLink><relatesTo>1</relatesTo> (AUTHOR)<i> xiang_yunchuan@yeah.net</i><br /><searchLink fieldCode="AR" term="%22Deng%2C+Gao-Ming%22">Deng, Gao-Ming</searchLink><relatesTo>1</relatesTo> (AUTHOR)<i> gmd2014cwnu@126.com</i>
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  Data: <searchLink fieldCode="JN" term="%22European+Physical+Journal+C+--+Particles+%26+Fields%22">European Physical Journal C -- Particles & Fields</searchLink>. Feb2025, Vol. 85 Issue 2, p1-15. 15p.
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  Data: <searchLink fieldCode="DE" term="%22Particle+spin%22">Particle spin</searchLink><br /><searchLink fieldCode="DE" term="%22WKB+approximation%22">WKB approximation</searchLink><br /><searchLink fieldCode="DE" term="%22Speed+of+light%22">Speed of light</searchLink><br /><searchLink fieldCode="DE" term="%22Geometrical+optics%22">Geometrical optics</searchLink><br /><searchLink fieldCode="DE" term="%22Spacetime%22">Spacetime</searchLink>
– Name: Abstract
  Label: Abstract
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  Data: In this work, we will explore the precession of particle spins in spherical spacetimes. We first argue that the geometrical optics (WKB) approximation is insufficient, due to the absence of a glory spot in the backward scattering of massless particles, making an analysis of spin precession necessary. We then derive the precession equation assuming the spin is parallel transported, which is supported by the sub-leading order of the WKB approximation. The precession equation applies to both massless and massive particles. For particles moving at the speed of light, we show that spin is always reversed after backward scattering in any spherically symmetric spacetime, confirming the absence of a glory spot for massless particles. Finally, we solve the precession equation for Schwarzschild and Reissner–Nordström spacetimes and discuss the spin precession of massive particles, particularly in the non-relativistic limit. We find that, in Schwarzschild spacetime, the spin precession for particles moving with very small velocities compared to the speed of light depends only on the deflection angle, while in Reissner–Nordström spacetime, it also depends on the black hole charge, as revealed by the expansion derived from the strong lensing approximation. [ABSTRACT FROM AUTHOR]
– Name: AbstractSuppliedCopyright
  Label:
  Group: Ab
  Data: <i>Copyright of European Physical Journal C -- Particles & Fields is the property of Springer Nature and its content may not be copied or emailed to multiple sites without the copyright holder's express written permission. Additionally, content may not be used with any artificial intelligence tools or machine learning technologies. However, users may print, download, or email articles for individual use. This abstract may be abridged. No warranty is given about the accuracy of the copy. Users should refer to the original published version of the material for the full abstract.</i> (Copyright applies to all Abstracts.)
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RecordInfo BibRecord:
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    Identifiers:
      – Type: doi
        Value: 10.1140/epjc/s10052-025-13894-8
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      – Code: eng
        Text: English
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        PageCount: 15
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    Subjects:
      – SubjectFull: Particle spin
        Type: general
      – SubjectFull: WKB approximation
        Type: general
      – SubjectFull: Speed of light
        Type: general
      – SubjectFull: Geometrical optics
        Type: general
      – SubjectFull: Spacetime
        Type: general
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      – TitleFull: The precession of particle spin in spherical symmetric spacetimes.
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            NameFull: Pang, Xiankai
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            NameFull: Jiang, Qingquan
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            NameFull: Xiang, Yunchuan
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            NameFull: Deng, Gao-Ming
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            – D: 01
              M: 02
              Text: Feb2025
              Type: published
              Y: 2025
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              Value: 85
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