45,874 research outputs found
Meson decay in the Fock-Tani Formalism
The Fock-Tani formalism is a first principle method to obtain effective
interactions from microscopic Hamiltonians. Usually this formalism was applied
to scattering, here we introduced it to calculate partial decay widths for
mesons.Comment: Presented at HADRON05 XI. "International Conference on Hadron
Spectroscopy" Rio de Janeiro, Brazil, August 21 to 26, 200
Meson decay in a corrected model
Extensively applied to both light and heavy meson decay and standing as one
of the most successful strong decay models is the model, in which
pair production is the dominant mechanism. The pair production can
be obtained from the non-relativistic limit of a microscopic interaction
Hamiltonian involving Dirac quark fields. The evaluation of the decay amplitude
can be performed by a diagrammatic technique for drawing quark lines. In this
paper we use an alternative approach which consists in a mapping technique, the
Fock-Tani formalism, in order to obtain an effective Hamiltonian starting from
same microscopic interaction. An additional effect is manifest in this
formalism associated to the extended nature of mesons: bound-state corrections.
A corrected is obtained and applied, as an example, to
and decays.Comment: 3 figures. To appear in Physical Review
The (restricted) Inomata-McKinley spinor representation and the underlying topology
The so called Inomata-McKinley spinors are a particular solution of the
non-linear Heisenberg equation. In fact, free linear massive (or mass-less)
Dirac fields are well known to be represented as a combination of
Inomata-McKinley spinors. More recently, a subclass of Inomata-McKinley spinors
were used to describe neutrino physics. In this paper we show that Dirac
spinors undergoing this restricted Inomata-McKinley decomposition are
necessarily of the first type, according to the Lounesto classification.
Moreover, we also show that this type one subclass spinors has not an exotic
counterpart. Finally, implications of these results are discussed, regarding
the understanding of the spacetime background topology.Comment: 7 pages, to appear in EP
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