基本费米子质量和代问题

米立功; 谢泉; 张利; 吴忠组

doi:10.7498/aps.70.20210854

摘要

研究了基本费米子的质量分布, 并找到一组描述基本费米子质量在特定分布模式下的经验关系式. 这启发我们对基本费米子质量等级和基本费米子具有三代的根源进行深入的思考, 提出了一种理论模型, 解释了基本费米子为什么具有三代, 并讨论了基本费米子质量等级和自旋的起源.

关键词:

质量等级 /
基本费米子 /
代 /
自旋

In this paper, we study the mass distribution of elementary fermions and find a set of empirical relations to describe the mass distribution of elementary fermions. This inspires us to investigate in depth the origin of elementary fermion mass hierarchies and generations. We present a theoretical model to explain why the elementary fermions have three generations and discuss the origin of the fundamental fermion mass hierarchies and spin.

Keywords:

作者及机构信息

贵州大学大数据与信息工程学院, 物理学院, 贵阳　550025

通信作者: 米立功, miligong@foxmail.com

基金项目: 国家自然科学基金(批准号: 11963003)、国家中国SKA项目(批准号: 2020SKA0110300)、贵州省教育厅青年科技人才成长项目(批准号: 黔教合KY字[2018]433, 119)和贵州大学引进人才科研基金(批准号: 贵大人基合字(2018)60号)资助的课题

Authors and contacts

College of Big Data and Information Engineering, College of Physics, Guizhou University, Guiyang 550025, China

Corresponding author: Mi Li-Gong, miligong@foxmail.com

Funds: Project supported by the National Natural Science Foundation of China (Grant No. 11963003), the National SKA Program of China (Grant No. 2020SKA0110300), the Youth Science & Technology Talents Development Project of Guizhou Education Department, China (Grant Nos. KY[2018]433, 119), and the Guizhou University Talent Research Fund, China (Grant No. (2018)60)

文章全文 : translate this paragraph

参考文献

[1]	Abe S, Ebihara T, Enomoto S, et al. 2008 Phys. Rev. Lett. 100 221803 Google Scholar
[2]	Allison W, Alner G J, Ayres D S, et al. 2005 Phys. Rev. D 72 052005 Google Scholar
[3]	曹俊 2014 中国科学: 物理学力学天文学 44 1025 Cao J 2014 Scientia Sinica Physica, Mechanica & Astronomica 44 1025
[4]	Bednyakov A, Pikelner A 2020 Phys. Rev. D 101 091501(R Google Scholar
[5]	Mohr P J, Newel D B, Taylor B N 2016 Rev. Mod. Phys. 88 035009 Google Scholar
[6]	Particle Data Group 2016 Chin. Phys. C 40 100001 Google Scholar
[7]	Zyla P A, Barnett R M, Beringer J, et al. 2020 Prog. Theor. Exp. Phys. 2020 083C01 Google Scholar
[8]	Aghanim N, Akrami Y, Ashdowne Y, et al. 2020 Astronomy & Astrophysics 641 A6
[9]	舒菁 2018 科学通报 63 Shu J 2018 Chin. Sci. Bull. 63
[10]	Bogdan A D, Patrick J F 2008 J. High Energy Phys. 2008 100
[11]	Steven W 2020 Phys. Rev. D 101 035020 Google Scholar
[12]	Steven W 1964 Phys. Rev. 135 B1049 Google Scholar

施引文献

图 1 观测值和经验值的相关性　(a) $N_{\rm{o}}(n)$与$N_{\rm{e}}(n)$的比较; (b) $L_{\rm{o}}(l)$与$L_{\rm{e}}(l)$的比较

Fig. 1. Correlation between theoretical and observed values: (a) the correlation between $N_{\rm{o}}(n)$ and $N_{\rm{e}}(n)$ for $n = 1, 2, 3$; (b) the correlation between $L_{\rm{o}}(l)$ and $L_{\rm{e}}(l)$ for $l = 1, 2, 3$.

下载: 全尺寸图片幻灯片

表 1 基本费米子的质量分布

Table 1. Mass distribution of elementary fermions.

代	$l=1$	$l=2$	$l=3$
$n=1$	${\rm d}\,[4.64_{-0.17}^{+0.48}]$	${\rm c}\,[1270\pm20]$	${\rm t}\,[172760\pm300]$
$n=2$	${\rm e}\,[0.5109989461\pm0.0000000031]$	$\text{µ}\,[105.6583745\pm0.0000024]$	$\text{τ[}\,[1776.82\pm0.12]$
$n=3$	${\rm u}\,[2.16_{-0.26}^{+0.49}]$	${\rm s}\,[93_{-5}^{+11}]$	${\rm b}\,[4180_{-20}^{+30}]$
$n=4$	$\text{ν}_ {\rm e}$	$\text{ν}_\text{µ}$	$\text{ν}_\text{τ}$

下载: 导出CSV

map

[1]	Abe S, Ebihara T, Enomoto S, et al. 2008 Phys. Rev. Lett. 100 221803 Google Scholar
[2]	Allison W, Alner G J, Ayres D S, et al. 2005 Phys. Rev. D 72 052005 Google Scholar
[3]	曹俊 2014 中国科学: 物理学力学天文学 44 1025 Cao J 2014 Scientia Sinica Physica, Mechanica & Astronomica 44 1025
[4]	Bednyakov A, Pikelner A 2020 Phys. Rev. D 101 091501(R Google Scholar
[5]	Mohr P J, Newel D B, Taylor B N 2016 Rev. Mod. Phys. 88 035009 Google Scholar
[6]	Particle Data Group 2016 Chin. Phys. C 40 100001 Google Scholar
[7]	Zyla P A, Barnett R M, Beringer J, et al. 2020 Prog. Theor. Exp. Phys. 2020 083C01 Google Scholar
[8]	Aghanim N, Akrami Y, Ashdowne Y, et al. 2020 Astronomy & Astrophysics 641 A6
[9]	舒菁 2018 科学通报 63 Shu J 2018 Chin. Sci. Bull. 63
[10]	Bogdan A D, Patrick J F 2008 J. High Energy Phys. 2008 100
[11]	Steven W 2020 Phys. Rev. D 101 035020 Google Scholar
[12]	Steven W 1964 Phys. Rev. 135 B1049 Google Scholar

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基本费米子质量和代问题