Regularization dependence of pion generalized parton distributions  

作　　者：Jin-Li Zhang Guang-Zhen Kang Jia-Lun Ping 张金利;康广震;平加伦(Department of Physics,Nanjing Normal University,Nanjing 210023,China;School of Science,Yangzhou Polytechnic Institute,Yangzhou 225127,China)

机构地区：[1]Department of Physics,Nanjing Normal University,Nanjing 210023,China [2]School of Science,Yangzhou Polytechnic Institute,Yangzhou 225127,China

出　　处：《Chinese Physics C》2022年第6期66-87,共22页中国物理C（英文版）

基　　金：Supported by the National Natural Science Foundation of China(11775118)。

摘　　要：Pion generalized parton distributions are calculated within the framework of the Nambu-Jona-Lasinio model using different regularization schemes,including the proper time regularization scheme,the three-dimensional(3D)momentum cutoff scheme,the four-dimensional momentum cutoff scheme,and the Pauli-Villars regularization scheme.Furthermore,we check the theoretical constraints of pion generalized parton distributions required by the symmetries of quantum chromodynamics in different regularization schemes.The diagrams of pion parton distribution functions are plotted,in addition,we evaluate the Mellin moments of generalized parton distributions,which are related to the electromagnetic and gravitational form factors of pion.Pion generalized parton distributions are continuous but not differential at x=±ξ,when considering the effect of the contact contribution term,generalized parton distributions become not continuous at x=±ξin all the four regularization schemes.Generalized parton distributions in impact parameter space are considered,the width distribution of u quark in the pion and the meansquared<b_(⊥)^(2)>πu are calculated.The light-front transverse-spin distributions are studied when quark polarized in the light-front-transverse+x direction,the transverse-spin density is no longer symmetric around(bx=0,by=0),the peaks shift to(bx=0,by>0),we compare the average transverse shift<b_(⊥)^(y)>1u and<b_(⊥)^(y)>2u in different regularization schemes.The light-cone energy radius rE,LC and the light-cone charge radius rc,LC are also evaluated,we found that in the proper time regularization scheme the values of these quantities were the largest,in the 3 D momentum cutoff scheme they were the smallest.

关 键 词：generalized parton distributions form factors parton distribution functions 

分 类 号：O572.3[理学—粒子物理与原子核物理]