Hidden States Complicate Hadron Calculations
![Lattice determinations of the pion-nucleon sigma term [latex]\sigma_{\pi N}[/latex], utilizing both [latex]N_f = 2+1[/latex] and [latex]N_f = 2+1+1[/latex] flavors, converge with phenomenological analyses derived from nucleon-pion scattering-as evidenced by agreement with the FLAG 2024 average-while Mainz lattice group data, obtained from a single ensemble at [latex]m_{\pi} = 200~\rm MeV[/latex] and varying source-sink separations, refine the estimation of [latex]\sigma_{\pi N}[/latex] through two-state fits of summed correlators, further corroborated by ratio analyses utilizing isoscalar scalar current insertions at zero momentum transfer.](https://arxiv.org/html/2602.17195v1/x6.png)
New research reveals that unexpected multi-hadron states induced by calculation methods can significantly skew results in lattice QCD calculations of hadron properties.
![Lattice determinations of the pion-nucleon sigma term [latex]\sigma_{\pi N}[/latex], utilizing both [latex]N_f = 2+1[/latex] and [latex]N_f = 2+1+1[/latex] flavors, converge with phenomenological analyses derived from nucleon-pion scattering-as evidenced by agreement with the FLAG 2024 average-while Mainz lattice group data, obtained from a single ensemble at [latex]m_{\pi} = 200~\rm MeV[/latex] and varying source-sink separations, refine the estimation of [latex]\sigma_{\pi N}[/latex] through two-state fits of summed correlators, further corroborated by ratio analyses utilizing isoscalar scalar current insertions at zero momentum transfer.](https://arxiv.org/html/2602.17195v1/x6.png)
New research reveals that unexpected multi-hadron states induced by calculation methods can significantly skew results in lattice QCD calculations of hadron properties.

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