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(Reference retrieved automatically from Web of Science through information on FAPESP grant and its corresponding number as mentioned in the publication by the authors.)

Fermionic bound states in Minkowski space: light-cone singularities and structure

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de Paula, Wayne [1] ; Frederico, Tobias [1] ; Salme, Giovanni [2] ; Viviani, Michele [3] ; Pimentel, Rafael [1]
Total Authors: 5
[1] DCTA, Dept Fis, Inst Tecnol Aeronaut, BR-12228900 Sao Jose Dos Campos, SP - Brazil
[2] Ist Nazl Fis Nucl, Sez Roma, Ple A Moro 2, I-00185 Rome - Italy
[3] Ist Nazl Fis Nucl, Sez Pisa, Largo Pontecorvo 3, I-56100 Pisa - Italy
Total Affiliations: 3
Document type: Journal article
Source: EUROPEAN PHYSICAL JOURNAL C; v. 77, n. 11 NOV 14 2017.
Web of Science Citations: 5

The Bethe-Salpeter equation for two-body bound system with spin 1/2 constituent is addressed directly in the Minkowski space. In order to accomplish this aim we use the Nakanishi integral representation of the Bethe-Salpeter amplitude and exploit the formal tool represented by the exact projection onto the null-plane. This formal step allows one (i) to deal with end-point singularities one meets and (ii) to find stable results, up to strongly relativistic regimes, which settle in strongly bound systems. We apply this technique to obtain the numerical dependence of the binding energies upon the coupling constants and the light-front amplitudes for a fermion-fermion 0(+) state with interaction kernels, in ladder approximation, corresponding to scalar-, pseudoscalarand vector-boson exchanges, respectively. After completing the numerical survey of the previous cases, we extend our approach to a quark-antiquark system in 0(-) state, taking both constituent-fermion and exchanged-boson masses, from lattice calculations. Interestingly, the calculated light-front amplitudes for such a mock pion show peculiar signatures of the spin degrees of freedom. (AU)

FAPESP's process: 13/26258-4 - Superdense matter in the universe
Grantee:Manuel Máximo Bastos Malheiro de Oliveira
Support type: 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 type: Research Projects - Thematic Grants