A Nakanishi-based model illustrating the covariant extension of the pion GPD overlap representation and its ambiguities Chouika, N. Mezrag, C. Moutarde, H. Rodríguez-Quintero, J. π-meson Generalized parton distributions Bethe-Salepeter Light-front wave-functions Radon transform Double distributions A systematic approach for the model building of Generalized Parton Distributions (GPDs), based on their overlap representation within the DGLAP kinematic region and a further covariant extension to the ERBL one, is applied to the valence-quark pion’s case, using light-front wave functions inspired by the Nakanishi representation of the pion Bethe–Salpeter amplitudes (BSA). This simple but fruitful pion GPD model illustrates the general model building technique and, in addition, allows for the ambiguities related to the covariant extension, grounded on the Double Distribution (DD) representation, to be constrained by requiring a soft-pion theorem to be properly observed. 2019-06-07T10:22:56Z 2019-06-07T10:22:56Z 2018-03-06 info:eu-repo/semantics/article Chouika, N.; Mezrag, C.; Moutarde, H. Rodríguez-Quintero, J. A Nakanishi-based model illustrating the covariant extension of the pion GPD overlap representation and its ambiguities. Physics Letters B 780 (2018) 287–293 [https://doi.org/10.1016/j.physletb.2018.02.070] http://hdl.handle.net/10481/55977 10.1016/j.physletb.2018.02.070 eng http://creativecommons.org/licenses/by/3.0/es/ info:eu-repo/semantics/openAccess Atribución 3.0 España Elsevier B. V.