华东师范大学学报（自然科学版） ›› 2023, Vol. 2023 ›› Issue (4): 177-191.doi: 10.3969/j.issn.1000-5641.2023.04.018

• 物理学与电子学 • 上一篇    

用旋转引力场分辨中微子的费米子类型

郭家明1, 薛迅2,3,4,*()   

  1. 1. 新疆大学 物理科学与技术学院, 乌鲁木齐　830046
    2. 新疆大学 理论物理中心, 乌鲁木齐　830046
    3. 华东师范大学 物理与电子科学学院, 上海　200241
    4. 华东师范大学重庆研究院, 重庆　401120
  • 收稿日期:2022-04-08 出版日期:2023-07-25 发布日期:2023-07-25
  • 通讯作者: 薛迅 E-mail:xxue@phy.ecnu.edu
  • 基金资助:
    国家自然科学基金(11775080, 11865016); 重庆市自然科学基金(CSTB2022NSCQ-MSX0351)

Distinguishing fermionic types of neutrinos with rotating gravitational fields

Jiaming GUO1, Xun XUE2,3,4,*()   

  1. 1. School of Physics and Technology, Xinjiang University, Urumqi　830046, China
    2. Center for Theoretical Physics, Xinjiang University, Urumqi　830046, China
    3. School of Physics and Electronic Science, East China Normal University, Shanghai　200241, China
    4. Chongqing Institute of East China Normal University, Chongqing　401120, China
  • Received:2022-04-08 Online:2023-07-25 Published:2023-07-25
  • Contact: Xun XUE E-mail:xxue@phy.ecnu.edu

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摘要：

在前人关于Majorana 费米子和Dirac费米子在Schwarzschild时空中的散射和挠率对这两种费米子散射影响研究的基础上, 在引力的弱场近似和引力场对费米子散射的微扰论的最低阶近似下, 仿照挠率的分解, 将自旋联络分解为在宇称变换下类似矢量的部分和类似轴矢量的部分; 分别分析了这两部分对两种费米子的散射矩阵元的影响, 发现一般的引力场对两种费米子的量子散射矩阵元存在差别, 并且差别来自类似矢量的部分; 之后, 在Kerr引力场背景下, 对上述发现进行了验证, 发现两种费米子的散射矩阵元的差别与引力源的质量和角动量有关, 并且当角动量为0时, 会退化为Schwarzschild时空中的情况.

关键词: Majorana费米子, 挠率, 绝对平行引力, Kerr度规

Abstract:

Based on previous studies on the scattering of Majorana and Dirac fermions in Schwarzschild spacetime and the effects of the torsion on the scattering of the two fermions, under the weak field approximation of gravity and the lowest order approximation of the perturbation of the gravitational field scattering of fermions, this study decomposes the spin connection into a vector-like part under parity transformation and separately analyzes the effects of the two parts on the scattering matrix elements of the two fermions. A difference is found to exist between the general gravitational field on the quantum scattering matrix elements of the two fermions, where the difference derives from the vector-like part. These findings are then verified in the context of the Kerr gravitational field, where the difference between the scattering matrix elements of the two fermions is determined to be related to the mass and angular momentum of the gravitational source. The difference diminishes in the case of Schwarzschild spacetime when the angular momentum is zero.

Key words: Majorana fermion, torsion, teleparallel gravity, Kerr metric

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