Physics – High Energy Physics – High Energy Physics - Phenomenology
Scientific paper
2009-01-26
PoS Confinement8:089,2008
Physics
High Energy Physics
High Energy Physics - Phenomenology
To appear as proceeding of Confinement8 - Quark Confinement and the Hadron Spectrum, Mainz (Germany), Sep 1.-6. 2008; 6 pages,
Scientific paper
We calculate the pion-nucleon scattering lengths $a_{0}^{(\pm)}$ and the mass parameter $m_{0}$, which describes the nucleon mass in the chiral limit, at tree-level in the framework of a globally symmetric linear sigma model with parity-doubled nucleons. When recent lattice results [Takahashi] are used, we obtain $m_{0}\simeq300-600$ MeV. While $a_{0}^{(-)}$ is in fair agreement with experimental data, $a_{0}^{(+)}$ is too small because of the employed large scalar meson mass. This indicates the need to account for additional scalar degrees of freedom.
Gallas Susanna
Giacosa Francesco
Rischke Dirk H.
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