| Full text | |
| Author(s): |
Noronha, A.
;
de Paula, W.
;
Nogueira, J. H. de Alvarenga
;
Frederico, T.
;
Pace, E.
;
Salme, G.
Total Authors: 6
|
| Document type: | Journal article |
| Source: | PHYSICAL REVIEW D; v. 107, n. 9, p. 10-pg., 2023-05-23. |
| Abstract | |
The homogeneous Bethe-Salpeter equation (BSE) of a (1/2)+ bound system, that has both fermionic and bosonic degrees of freedom, that we call a mock nucleon, is studied in Minkowski space, in order to analyze the chiral limit in covariant gauges. After adopting an interaction kernel built with a one-particle exchange, the chi-BSE is numerically solved by means of the Nakanishi integral representation and light -front projection. Noteworthy, the chiral limit induces a scale invariance of the model and consequently generates a wealth of striking features: (i) it reduces the number of nontrivial Nakanishi weight functions to only one; (ii) the form of the surviving weight function has a factorized dependence on the two relevant variables, compact and noncompact; and (iii) the coupling constant becomes an explicit function of the real exponent governing the power-law falloff of the nontrivial Nakanishi weight function. The thorough investigation at large transverse momentum of light-front Bethe-Salpeter amplitudes, obtained with massive constituents, provides a confirmation of the expected universal power-law falloff, with exponents predicted by our nonperturbative framework. Finally, one can shed light on the exponents that govern the approach to the upper extremum of the longitudinal-momentum fraction distribution function of the mock nucleon, when the coupling constant varies. (AU) | |
| 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 |