AI 中文总结
本研究对比两种方法确定核子结构的部分子分布参数，即整合海森堡不确定性与最大熵原理的方法，以及含热力学参数的统计方法，结果与参数化模型吻合良好，可用于计算核子结构函数等物理量。
AI 中文摘要
计算部分子分布有多种方法。本研究试图在同时考虑若干约束条件的情况下，确定价夸克与胶子密度的未知参数。为此，我们考虑两种不同方法：第一种方法假设价夸克密度为参数化形式，利用海森堡不确定性原理、最大熵原理施加的约束，以及夸克数和动量求和规则，确定部分子分布的未知参数；第二种方法为夸克、反夸克和胶子密度赋予统计分布，该分布包含温度T、体积V和化学势μ作为热力学参数，在此情况下，仅利用最大熵原理、夸克数和动量求和规则，即可提取出以热力学参数表示的部分子分布。两种方法得到的价夸克密度结果，以及第二种方法得到的胶子密度结果，与若干参数化模型的结果吻合良好。通过将这些密度演化至所需的能量标度，我们能够计算核子xF₃结构函数，以及价夸克密度的比值。
英文摘要
There are many methods to calculate the parton distributions. In this work, we are trying to determine the unknown parameters of valence quark and gluon densities, taking into account some constraints simultaneously. For this purpose, we consider two different approaches. At first approach, a parameterized form for the valence densities are assumed. Using the constraints imposed by the Heisenberg uncertainty and maximum entropy principles and also considering the quark number and momentum sum rules, the unknown parameters of the parton distributions are determined. In second approach, we attribute a statistical distributions to quark, anti-quarks and gluon densities which are including temperature T, volume V and chemical potential, $μ$, as thermodynamic parameters. In this case, using only the maximum entropy principle and the quark number together with momentum sum rules, the parton distributions in terms of thermodynamic parameters are extracted. The results for valence quark densities in both approaches and additionally the gluon density in second approach are in {satisfactory match} with results from some parametrization models. By evolving these densities to the desired energy scales, we are able to calculate the nucleon $xF_3$ structure function and also the ratio of valence quark densities.
Comments26 pages, 7 figures
