Physics – High Energy Physics – High Energy Physics - Phenomenology
Scientific paper
1997-05-21
Nucl.Phys. A628 (1998) 607-644
Physics
High Energy Physics
High Energy Physics - Phenomenology
56 pages (RevTeX), 13 figures (using espfig.sty and axodraw.sty); revised version to appear in Nuclear Physics A: further disc
Scientific paper
10.1016/S0375-9474(97)00635-0
We consider a nonlocal version of the NJL model, based on a separable quark-quark interaction. The interaction is extended to include terms that bind vector and axial-vector mesons. The nonlocality means that no further regulator is required. Moreover the model is able to confine the quarks by generating a quark propagator without poles at real energies. Working in the ladder approximation, we calculate amplitudes in Euclidean space and discuss features of their continuation to Minkowski energies. Conserved currents are constructed and we demonstrate their consistency with various Ward identities. Various meson masses are calculated, along with their strong and electromagnetic decay amplitudes. We also calculate the electromagnetic form factor of the pion, as well as form factors associated with the processes gamma gamma^* to pi^0 and omega to pi^0 gamma^*. The results are found to lead to a satisfactory phenomenology and lend some dynamical support to the idea of vector-meson dominance.
Birse Michael C.
Plant Robert S.
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