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Pion inspired by QCD: Nakanishi and light-front integral representations

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Autor(es):
Moita, R. M. ; de Melo, J. P. B. C. ; Frederico, T. ; de Paula, W.
Número total de Autores: 4
Tipo de documento: Artigo Científico
Fonte: PHYSICAL REVIEW D; v. 106, n. 1, p. 22-pg., 2022-07-01.
Resumo

The pion structure in Minkowski space is explored using the Nakanishi integral representation. A general framework is developed for the pion Bethe-Salpeter amplitude based on the K??llen-Lehmann representation of the dressed quarks with an ansatz for the pseudoscalar ?? ??? qq?? vertex fulfilling the axial Ward-Takahashi identity. The Nakanishi weight functions are derived for the scalar amplitudes associated with the decomposition of the pion Bethe-Salpeter amplitude in different operator bases in the Dirac spinor space in terms of the involved spectral densities. The approach is applied to an analytical model of the pion Bethe-Salpeter amplitude, which is combined with Landau gauge lattice QCD results for the quark running mass at spacelike momentum. From the Nakanishi integral representation several pion observables were calculated, such as the decay constant, the spin decomposition of the valence probabilities, longitudinal and transverse momentum distributions from the valence component of the light-front wave function. (AU)

Processo FAPESP: 19/02923-5 - Física hadrônica no formalismo da frente de luz
Beneficiário:Joao Pacheco Bicudo Cabral de Mello
Modalidade de apoio: Auxílio à Pesquisa - Regular
Processo FAPESP: 19/07767-1 - Reações nucleares com núcleos fracamente ligados ou com estrutura de cluster, radioativos e estáveis
Beneficiário:Leandro Romero Gasques
Modalidade de apoio: Auxílio à Pesquisa - Temático
Processo FAPESP: 17/05660-0 - Estudos teóricos da estrutura e reações de núcleos exóticos e sistemas de muitos corpos
Beneficiário:Brett Vern Carlson
Modalidade de apoio: Auxílio à Pesquisa - Temático