The chiral partner of the nucleon in the mirror assignment with global symmetry
نویسندگان
چکیده
We calculate the pion-nucleon scattering lengths a(±) 0 and the mass parameter m0, 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 m0 ≃ 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 scalar degrees of freedom.
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