宇宙学挠率场下中微子散射及空间平坦性预测

doi:10.3969/j.issn.1000-5641.2025.03.001

华东师范大学学报（自然科学版） ›› 2025, Vol. 2025 ›› Issue (3): 1-12.doi: 10.3969/j.issn.1000-5641.2025.03.001

• 物理学与电子学 •

宇宙学挠率场下中微子散射及空间平坦性预测

高晨辉, 薛迅*()

华东师范大学物理与电子科学学院, 上海　200241

收稿日期:2024-04-02 出版日期:2025-05-25 发布日期:2025-05-28
通讯作者: 薛迅 E-mail:xxue@phy.ecnu.edu.cn
基金资助:
国家自然科学基金(11865016); 重庆市自然科学基金(SSTB2022NSCQ-MSX0351)

Neutrino scattering under cosmological torsion field and prediction of space flatness

Chenhui GAO, Xun XUE*()

School of Physics and Electronic Science, East China Normal University, Shanghai　200241, China

Received:2024-04-02 Online:2025-05-25 Published:2025-05-28
Contact: Xun XUE E-mail:xxue@phy.ecnu.edu.cn

摘要/Abstract

摘要：

取宇宙学时空背景, 在微扰论最低阶近似下, 计算出了空间曲率和宇宙学挠率对中微子散射矩阵元的修正, 发现非平坦空间曲率和宇宙学挠率场会导致宇宙学中微子的背景辐射谱的峰值位置能量发生偏移. 结合天文观测数据以及3种Padé参数化, 计算出了空间曲率和宇宙学挠率对中微子峰值位置移动的量级, 发现正的空间曲率会使中微子背景辐射谱的峰值位置右移, 而负的空间曲率会使中微子背景辐射谱的峰值位置左移. 宇宙学挠率会使中微子背景辐射谱的峰值位置右移, 且由于Dirac中微子和Majorana中微子与矢量挠率的耦合情况不同, 二者峰值位置的右移程度也不同. 这为区分中微子的费米子类型、消除暗能量和空间曲率的参数简并, 以及确定暗能量的本质提供了解决方案.

关键词: 空间曲率, 中微子, 量子散射, 挠率

Abstract:

Based on the cosmological space-time background, the correction of space curvature and cosmological torsion to the neutrino-scattering-matrix element is calculated under the lowest-order approximation of perturbation theory. The result shows that a non-flat spatial curvature and cosmological torsion field can shift the peak position energy of the background radiation spectrum of cosmological neutrinos. Based on astronomical observation data and three types of Padé parameterizations, the magnitude of the effects of spatial curvature and cosmological torsion on the peak position shift of neutrinos is calculated. The result shows that positive and negative spatial curvatures cause the peak position of the neutrino background radiation spectrum to shift to the right and left, respectively. Cosmological torsion causes the peak position of the background radiation spectrum of the neutrinos to shift to the right, and because of the different coupling of Dirac and Majorana neutrinos with vector torsion, the right-shift degrees of their peak positions are different. This provides a solution for distinguishing the fermion types of neutrinos, eliminating the parameter degeneracy of dark energy and spatial curvature, and for determining the essence of dark energy.

Key words: spatial curvature, neutrinos, quantum scattering, torsion

中图分类号:

O412

高晨辉, 薛迅. 宇宙学挠率场下中微子散射及空间平坦性预测[J]. 华东师范大学学报（自然科学版）, 2025, 2025(3): 1-12.

Chenhui GAO, Xun XUE. Neutrino scattering under cosmological torsion field and prediction of space flatness[J]. J* E* C* N* U* N* S*, 2025, 2025(3): 1-12.

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参考文献 14

1	DI VALENTINO E, MELCHIORRI A, SILK J.. Planck evidence for a closed universe and a possible crisis for cosmology. Nature Astronomy, 2020, 4 (2): 196- 203.
2	HUBBLE E.. A relation between distance and radial velocity among extra-galactic nebulae. Proceedings of the National Academy of Sciences, 1929, 15 (3): 168- 173.
3	GROTZ K, KLAPDOR H V. The Weak Interaction in Nuclear, Particle, and Astrophysics [M]. Boca Raton, FL, USA: CRC Press, 1990.
4	SHEN J Y, XUE X. Large scale Lorentz violation gravity and dark energy [C]// Proceedings of the 28th International Symposium on Lepton Photon Interactions at High Energies. Singapore: World Scientific Publishing Co. Pte Ltd, 2020: 459-475.
5	LAI J H, XUE X. The scattering of Dirac and Majorana fermions in spherically symmetric gravitational field and torsion field [EB/OL]. (2021-12-20)[2024-02-26]. https://arxiv.org/abs/2112.10590.
6	SHAPIRO I L. Torsion: Theory and possible observables [EB/OL]. (1998-11-09)[2024-02-26]. https://arxiv.org/abs/hep-th/9811072.
7	LIN W, XUE X. Dirac and Majorana neutrino scattering by cosmic torsion in spatial-flat FRW spacetime background [EB/OL]. (2023-04-02)[2024-02-26]. https://arxiv.org/abs/2304.00475.
8	ALDROVANDI R, PEREIRA J G. Teleparallel Gravity: An Introduction [M]. Berlin: Springer , 2012.
9	PARKER L.. Quantized fields and particle creation in expanding universes. II. Physical Review D, 1971, 3 (2): 346- 356..
10	TSAMPARLIS M.. Cosmological principle and torsion. Physics Letters A, 1979, 75 (1/2): 27- 28.
11	SREDNICKI M. Quantum Field Theory [M]. Cambridge: Cambridge University Press, 2007.
12	WEINBERG S. Cosmology [M]. Oxford: Oxford University Press, 2008.
13	RICHARD E, OKUMURA K, ABE K, et al.. Measurements of the atmospheric neutrino flux by Super-Kamiokande: Energy spectra, geomagnetic effects, and solar modulation. Physical Review D, 2016, 94 (5): 052001.
14	REZAEI M, PAN S, YANG W, et al.. Evidence of dynamical dark energy in a non-flat universe: Current and future observations. Journal of Cosmology and Astroparticle Physics, 2024, (1): 052.

Padé近似参数化	$\varOmega_{m}$	$\varOmega_{r}$	$\varOmega_{k}$	$\varOmega_{\varLambda }$
Padé-I	0.2680	$10^{-5}$	0.004	0.7280
Padé-II	0.2765	$10^{-5}$	0.050	0.6735
Padé-III	0.2762	$10^{-5}$	–0.041	0.7648

Padé近似参数化	$\rho/{\%}$
Padé近似参数化	模型B	模型C	模型D
Padé-I	1.94	3.07	3.12
Padé-II	0.62	1.60	1.63
Padé-III	0.05	0.85	0.86

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宇宙学挠率场下中微子散射及空间平坦性预测

Neutrino scattering under cosmological torsion field and prediction of space flatness

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