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arXiv 2401.07239hep-phnucl-th
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复杂概率过程框架下核子的量子色动力学

Quantum Chromodynamics of the Nucleon in the Framework of Complex Probabilistic Processes

A. S. Gevorkyan, A. V. Bogdanov

AI总结:

本文针对传统三夸克模型忽略胶子交换和夸克海效应的问题,在复杂概率过程框架下建立满足Langevin-Kline-Gordon-Fock型随机微分方程的非微扰方法,以多重积分表示构造核子波函数,可用于研究中子星等致密天体中的核子临界状态。

摘要:

在盖尔曼、茨威格和弗里奇提出夸克假设并得到这些亚核子结构的实验证实后不久,费曼、拉夫达尔和基斯林格提出了核子的相对论性三夸克模型,以研究其内部结构和状态。尽管在描述夸克禁闭于核子中的系统内部运动方面取得了明显进展,但应当指出,该模型还不够现实。事实是,该模型忽略了夸克之间的胶子交换过程,以及不断形成的夸克-反夸克对(夸克海)对价夸克的影响。为克服这一困难,在满足Langevin-Kline-Gordon-Fock型随机微分方程的复杂概率过程表示框架内,考虑了浸没于有色夸克-反夸克海中的三夸克动力学系统的自组织问题。考虑到动力学系统内部运动的隐对称性,发展了一种数学上封闭的非微扰方法,使得能够以多重积分表示的形式构造核子波函数及其他参数的数学期望。所发展的方法对于研究处于临界状态的核子状态尤其有用,这种状态例如出现在中子星等大质量致密恒星结构中。

英文摘要:

Soon after the postulation of quarks by Gell-Mann, Zweig and Fritzsch the experimental confirmation of these sub-nucleon formations, Feynman, Ravndal and Kislinger proposed a relativistic three-quark model of the nucleon to study its internal structure and state. Despite the obvious progress in describing the internal motion of a system with confinement of quarks in a nucleon, it should be stated that the model is not realistic enough. The fact is that the model ignores the processes of gluon exchange between quarks, as well as the influence of continuously formed pairs of quarks and antiquarks (quark sea) on valence quarks. To overcome this difficulty, the problem of self-organization of a three-quark dynamical system immersed in a colored quark-antiquark sea is considered within the framework of the representation of complex probabilistic processes satisfying the stochastic differential equation of Langevin-Kline-Gordon-Fock type. Taking into account the hidden symmetry of the internal motion of a dynamical system, a mathematically closed non-perturbative approach has been developed, which makes it possible to construct the mathematical expectation of the wave function and other parameters of the nucleon in the form of multiple integral representations. The developed approach can be especially useful for studying the state of nucleons in critical states, which occurs, for example, in massive and dense stellar formations such as neutron stars, etc.

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。

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