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

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 theta(1) and the quark mass distribution theta(2), both are harder than electromagnetic form factor. The tensor anomalous magnetic moment B-1,B-0 and the tensor generalized form factor B-2,B-0 are harder than corresponding lattice data. (C) 2021 The Authors. Published by Elsevier B.V.

Automated summary

In this study, the generalized parton distributions and light-front wave functions of the pion are investigated within the framework of the Nambu-Jona-Lasinio model. The properties of the pion's generalized parton distributions and light-front wave functions are examined separately, and it is found that the two methods give the same distributions. Additionally, the study also looks at the generalized form factors of the pion and finds that they are harder than corresponding lattice data.