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We calculate the pion-nucleon scattering lengths and the mass parameter , 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 MeV. While is in fair agreement with experimental data, is too small because of the employed large scalar meson mass. This indicates the need to account for additional scalar degrees of freedom.

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