Abstract
An extended linear sigma model with mesons (qq̄ states) and baryons (qqq states) is presented. The model contains a low energy multiplet for every hadronic particle type, namely a scalar, a pseudoscalar, a vector and an axialvector nonet, a baryon octet and a baryon decuplet. The model parameters are determined through a multiparametric minimalization with the help of well known physical quantities. It is found that the considered zero temperature quantities (masses and decay widths) can be described well at tree-level and are in good agreement with the experimental data.
Highlights
The vacuum properties of strong interaction are very hard to investigate within the framework of QCD – the fundamental theory of strong interaction, which is due to its subtlety at low energies
In this paper we set up an extended linear sigma model, which contains mesonic and baryonic degrees of freedom
The quadratic and three-coupling terms of the Lagrangian can be determined from which the masses and the decay widths originate
Summary
The vacuum properties of strong interaction are very hard to investigate within the framework of QCD – the fundamental theory of strong interaction – (see e.g.[1]), which is due to its subtlety at low energies. In this paper we include the nucleon-octet and the Delta-decuplet to extend the vacuum phenomenology for baryons as well. Another approach to baryon phenomenology can be found in [6]. The terms in the meson part are limited by chiral and dilaton symmetry (for details see [5]), while in case of the baryon part we included all the SU (3)V invariants which can produce baryon masses – with different masses for different particles in the given multiplet – and decuplet decays with the lowest possible dimension (B − B − Φ − Φ, ∆ − ∆ − Φ − Φ and ∆ − B − Φ terms). Are the bare masses of the baryon octet and decuplet. f is the pion decay constant, while [ , ]
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