Valence parton distribution function of the pion;
Nambu-Jona-lasinio model;
Good lattice QCD cross sections;
Chiral symmetry;
PSEUDOSCALAR MESONS;
SCATTERING;
EVOLUTION;
PHOTON;
SPACE;
D O I:
10.1016/j.physletb.2020.135803
中图分类号:
P1 [天文学];
学科分类号:
0704 ;
摘要:
Within a chiral quark model, we evaluate the good cross section in the Euclidean space in the vector - axial vector channel, proposed recently by Ma and Qiu as means to extract the so far elusive parton distribution functions of the pion from lattice QCD. Our results are remarkably simple at the quark model scale and agree well, after the necessary QCD evolution, with the most recent lattice calculations at the scale mu similar to 2 GeV for various values of the lattice pion mass. Comparisons are made as functions of the Ioffe time variable. We also comment on the information on the lowest moments in the momentum fraction x, generically extractable from such analyses, as well as on the inaccessibility of the x -> 1 limit from the present data. (C) 2020 The Author(s). Published by Elsevier B.V.