The chiral partner of the nucleon within the mirror assignment

Susanna Gallas
2012 Proceedings of VIIIth Conference Quark Confinement and the Hadron Spectrum — PoS(ConfinementVIII)   unpublished
We calculate the pion-nucleon scattering lengths a (±) 0 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 [1] are used, we obtain m 0 ≃ 300 − 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
more » ... ar degrees of freedom. 8th Conference Quark Confinement and the Hadron Spectrum
doi:10.22323/1.077.0089 fatcat:udhlr4spxvek3cgkm2bccslmfa