Pion, Sigma and Nucleon Propagators in the Linear ?-Model
Zeitschrift für Physik A, Hadrons and nuclei(1995)
摘要
We study the pion, sigma and nucleon propagators of the linear σ-model in the one-loop approximation. We show that in the renormalized model the meson propagators exhibit imaginary poles. Such nonphysical poles disappear when a cutoff is introduced. The maximum of this cutoff value is shown to be of the orderλc≈1.2 Gev. Once this value is fixed it is possible to find a set of parameters which allow for a selfconsistent interpretation of physical properties associated with the propagators. A 400 MeV wide resonance appears in the sigma propagator, the nucleon is a bound state and in its continuum two Roper resonances can be identified.
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关键词
12.40.−Y
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