%0 Journal Article %T Excited-State Effective Masses in Lattice QCD %A George T. Fleming %A Saul D. Cohen %A Huey-Wen Lin %A Victor Pereyra %J Mathematics %D 2009 %I arXiv %R 10.1103/PhysRevD.80.074506 %X We apply black-box methods, i.e. where the performance of the method does not depend upon initial guesses, to extract excited-state energies from Euclidean-time hadron correlation functions. In particular, we extend the widely used effective-mass method to incorporate multiple correlation functions and produce effective mass estimates for multiple excited states. In general, these excited-state effective masses will be determined by finding the roots of some polynomial. We demonstrate the method using sample lattice data to determine excited-state energies of the nucleon and compare the results to other energy-level finding techniques. %U http://arxiv.org/abs/0903.2314v1