arXivDaily arXiv每日学术速递 周一至周五更新
北美退伍军人节(Veterans Day),12 日无更新
arXiv 0712.2896hep-ph
收藏

质子自旋动力学:$qqq$力的作用

Dynamics Of Proton Spin : Role Of $qqq$ Force

A. N. Mitra

摘要:

本文利用最近在QCD高动量区得到的$qqq$波函数的解析结构,讨论了重子通过夸克环的跃迁振幅。本研究的一个新方面是直接($Y$形,梅赛德斯-奔驰型)$qqq$力在产生$qqq$波函数中的作用。动力学是一个萨尔彼得方程(3D支持内核)制定协变的光前面,一个拉马尔可夫-汤川横截性原理(MYTP),保证了2和3费米子夸克的3D和4D贝特-萨尔彼得(BSE)形式之间的双向互连。这种三体力的动力学通过三维波函数$ϕ$的超几何微分方程中的特征奇异性表现出来,对应于自旋算符$i σ_1.σ_2\times σ_3$的$negative$本征值,该自旋算符是$qqq$力的组成部分。作为这个波函数在质子自旋反常问题上的第一个应用,双胶子对反常的贡献产生了正确符号的估计,尽管在量级上稍小。关键词:3体力;质子自旋; 2胶子反常;分数修正$θ$

英文摘要:

The analytic structure of the $qqq$ wave function, obtained recently in the high momentum regime of QCD, is employed for the formulation of baryonic transition amplitudes via quark loops. A new aspect of this study is the role of a direct ($Y$-shaped, Mercedes-Benz type) $qqq$ force in generating the $qqq$ wave function. The dynamics is that of a Salpeter-like equation (3D support for the kernel) formulated covariantly on the light front, a la Markov-Yukawa Transversality Principle (MYTP) which warrants a 2-way interconnection between the 3D and 4D Bethe-Salpeter (BSE) forms for 2 as well as 3 fermion quarks. The dynamics of this 3-body force shows up through a characteristic singularity in the hypergeometric differential equation for the 3D wave function $ϕ$, corresponding to a $negative$ eigenvalue of the spin operator $i σ_1.σ_2\times σ_3$ which is an integral part of the $qqq$ force. As a first application of this wave function to the problem of the proton spin anomaly, the two-gluon contribution to the anomaly yields an estimate of the right sign, although somewhat smaller in magnitude. Keywords: 3bodyforce; proton-spin; 2gluon anomaly; fractional correction $θ$

机构、总结、中文摘要均由AI分析而来,可能存在错误,请以论文正文为准。

↑