Reconstructing parton distribution function based on maximum entropy method* * Supported by Key Project for Undergraduate Teaching Reform and Quality Enhancement Research Plan in Ordinary Colleges and Universities in Tianjin (A231005505)

IF 3.6 2区物理与天体物理 Q1 PHYSICS, NUCLEAR

中国物理C Pub Date : 2024-03-01 DOI:10.1088/1674-1137/ad1b3d

Sihan Zhang, Xiaobin Wang, Tao Lin, Lei Chang

引用次数: 0

Abstract

A new method based on the maximum entropy principle for reconstructing the parton distribution function (PDF) from moments is proposed. Unlike traditional methods, the new method does not require any artificial assumptions. For the case of moments with errors, we introduce Gaussian functions to soften the constraints of moments. Through a series of tests, the effectiveness and reconstruction efficiency of this new method are evaluated comprehensively, demonstrating that this method is reasonable and can achieve high-quality reconstruction with at least the first six moments as input. Finally, we select a set of lattice quantum chromodynamics (QCD) results regarding moments as input and provide reasonable reconstruction results for the pion.

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基于最大熵方法的朋子分布函数重构* * 天津市普通高校本科教学改革与质量提升研究计划重点项目（A231005505）资助

本文提出了一种基于最大熵原理的新方法，用于从矩阵重建粒子分布函数（PDF）。与传统方法不同，新方法不需要任何人为假设。对于矩有误差的情况，我们引入了高斯函数来弱化矩的约束。通过一系列测试，全面评估了这种新方法的有效性和重建效率，证明这种方法是合理的，至少可以在输入前六个矩的情况下实现高质量的重建。最后，我们选择了一组有关矩的晶格量子色动力学（QCD）结果作为输入，并提供了先锋的合理重建结果。

本文章由计算机程序翻译，如有差异，请以英文原文为准。

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来源期刊

中国物理C 物理-物理：核物理

CiteScore

6.50

自引率

8.30%

发文量

8976

审稿时长

1.3 months

期刊介绍： Chinese Physics C covers the latest developments and achievements in the theory, experiment and applications of: Particle physics; Nuclear physics; Particle and nuclear astrophysics; Cosmology; Accelerator physics. The journal publishes original research papers, letters and reviews. The Letters section covers short reports on the latest important scientific results, published as quickly as possible. Such breakthrough research articles are a high priority for publication. The Editorial Board is composed of about fifty distinguished physicists, who are responsible for the review of submitted papers and who ensure the scientific quality of the journal. The journal has been awarded the Chinese Academy of Sciences ‘Excellent Journal’ award multiple times, and is recognized as one of China''s top one hundred key scientific periodicals by the General Administration of News and Publications.