Pion generalized parton distributions and light-front wave functions in the Nambu–Jona-Lasinio model

Abstract Pion generalized parton distributions and light-front wave functions are investigated in the framework of Nambu–Jona-Lasinio model. The properties of pion generalized parton distributions and light-front wave functions are examined separately. Proceeding from generalized parton distributions and light-front wave functions to form factors, parton distribution functions, parton distribution amplitudes and transverse momentum dependent parton distributions, giving a complete picture of pion structure. Moreover, comparing these distributions from the two different methods and examining their peculiarities, finding that the two methods give the same distributions. This means that generalized parton distributions and light-front wave functions give the same multi-dimensional mapping of pion in the Nambu–Jona-Lasinio model. In addition, we studied generalized form factors of pion: the quark pressure distribution θ 1 and the quark mass distribution θ 2 , both are harder than electromagnetic form factor. The tensor anomalous magnetic moment B 1 , 0 and the tensor generalized form factor B 2 , 0 are harder than corresponding lattice data.