| Full text | |
| Author(s): |
Moita, R. M.
;
de Melo, J. P. B. C.
;
Frederico, T.
;
de Paula, W.
Total Authors: 4
|
| Document type: | Journal article |
| Source: | PHYSICAL REVIEW D; v. 106, n. 1, p. 22-pg., 2022-07-01. |
| Abstract | |
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) | |
| FAPESP's process: | 19/02923-5 - Hadronic physics with the light-front approach |
| Grantee: | Joao Pacheco Bicudo Cabral de Mello |
| Support Opportunities: | Regular Research Grants |
| FAPESP's process: | 19/07767-1 - Nuclear reactions with weakly-bound or cluster-structured radioactive and stable nuclei |
| Grantee: | Leandro Romero Gasques |
| Support Opportunities: | Research Projects - Thematic Grants |
| FAPESP's process: | 17/05660-0 - Theoretical studies of the structure and reactions of exotic nuclei and many-body systems |
| Grantee: | Brett Vern Carlson |
| Support Opportunities: | Research Projects - Thematic Grants |