{"title":"Nonlinear corrections to the momentum sum rule","authors":"G. R. Boroun","doi":"10.1140/epja/s10050-024-01348-w","DOIUrl":null,"url":null,"abstract":"<div><p>The importance of nonlinear corrections to the momentum sum rule is investigated on the initial scale <span>\\(Q_{0}^2\\)</span>. Nonlinear corrections are found to play an indispensable role in the singlet and gluon momentum sum rule in the high-order approximations in the parton distribution function parameterizations for nucleons and light nuclei at low <i>x</i> in future colliders. In this way, we obtain a significantly different low <i>x</i> behavior of the singlet and gluon momentum sum rule at the hotspot point.</p></div>","PeriodicalId":786,"journal":{"name":"The European Physical Journal A","volume":"60 8","pages":""},"PeriodicalIF":2.8000,"publicationDate":"2024-08-14","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"0","resultStr":null,"platform":"Semanticscholar","paperid":null,"PeriodicalName":"The European Physical Journal A","FirstCategoryId":"4","ListUrlMain":"https://link.springer.com/article/10.1140/epja/s10050-024-01348-w","RegionNum":3,"RegionCategory":"物理与天体物理","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"Q2","JCRName":"PHYSICS, NUCLEAR","Score":null,"Total":0}
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Abstract
The importance of nonlinear corrections to the momentum sum rule is investigated on the initial scale \(Q_{0}^2\). Nonlinear corrections are found to play an indispensable role in the singlet and gluon momentum sum rule in the high-order approximations in the parton distribution function parameterizations for nucleons and light nuclei at low x in future colliders. In this way, we obtain a significantly different low x behavior of the singlet and gluon momentum sum rule at the hotspot point.
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