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We explore a method to extract energy eigenstates, called Athens ModelIndependent Analysis Scheme (AMIAS), which is an alternative to solvingstandard Generalized Eigenvalue Problems (GEVP). The method is based onstatistically sampling the space of fit parameters according to the $\chi^2$value of the fit function. The method is particularly suited for correlators orcorrelation matrices with strong contributions from several energy eigenstatesand for rather noisy data, e.g. for correlators with disconnected and partlydisconnected diagrams. We apply the method to the analysis of the $J^P = 0^+$channel in the context of our investigation of the $a_0(980)$ meson and pointout advantages compared to the GEVP.

Using a new analysis method to extract excited states in the scalar meson sector