摘要
An approximated solution for the gluon distribution from DGLAP evolution equations with the NLO splitting function in the small-x limit is presented.We first obtain simplified forms of the LO and NLO splitting functions in the small-x limit.With these approximated splitting functions,we obtain the analytical gluon distribution using the Mellin transform.The free parameters in the boundary conditions are obtained by fitting the CJ15 gluon distribution data.We find that the asymptotic behavior of the gluon distribution is consistent with the CJ15 data;however,the NLO results considering the"ladder"structure of gluon emission are slightly better than the LO results.These results indicate that the corrections from NLO have a significant influence on the behavior of the gluon distribution in the small-x region.In addition,we investigate the DGLAP evolution of the proton structure function using the analytical solution of the gluon distribution.The differential structure function reveals that our results have a similar tendency to the CJ15 data at small-x.
作者
陈京萱
王晓鹏
蔡燕兵
陈旭荣
王倩
Jingxuan Chen;Xiaopeng Wang;Yanbing Cai;Xurong Chen;Qian Wang(Key Laboratory of Atomic and Subatomic Structure and Quantum Control(MOE),Guangdong Basic Research Center of Excellence for Structure and Fundamental Interactions of Matter,Institute of Quantum Matter,South China Normal University,Guangzhou 510006,China;Guangdong-Hong Kong Joint Laboratory of Quantum Matter,Guangdong Provincial Key Laboratory of Nuclear Science,Southern Nuclear Science Computing Center,South China Normal University,Guangzhou 510006,China;Institute of Modern Physics,Chinese Academy of Sciences,Lanzhou 730000,China;University of Chinese Academy of Sciences,Beijing 100049,China;Lanzhou University,Lanzhou 730000,China;School of Nuclear Science and Technology,University of Chinese Academy of Sciences,Beijing 100049,China;Guizhou Key Laboratory in Physics and Related Areas,Guizhou University of Finance and Economics,Guiyang 550025,China;Southern Center for Nuclear-Science Theory(SCNT),Institute of Modern Physics,Chinese Academy of Sciences,Huizhou 516000,China)
基金
Supported by the Strategic Priority Research Program of the Chinese Academy of Sciences(XDB34030301)
the National Natural Science Foundation of China(12375073)
the Major Project of Basic and Applied Basic Research in Guangdong Province(2020B0301030008)
the Basic Research Program(Natural Science)of Guizhou Province,China(QKHJC-ZK[2023]YB027)
the Education Department of Guizhou Province,China(QJJ[2022]016)。
