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Toward a resolution of the NN controversy

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arxiv 2112.04569 v1 pith:OJJETZNP submitted 2021-12-08 hep-lat nucl-th

classification hep-latnucl-th
keywords differentlatticeoperatorseffectivefieldluschermassmethod
verification ladder T0 review T1 audit T2 compute T3 formal
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Lattice QCD calculations of two-nucleon interactions have been underway for about a decade, but still haven't reached the pion mass regime necessary for matching onto effective field theories and extrapolating to the physical point. Furthermore, results from different methods, including the use of the Luscher formalism with different types of operators, as well as the HALQCD potential method, do not agree even qualitatively at very heavy pion mass. We investigate the role that different operators employed in the literature may play on the extraction of spectra for use within the Luscher method. We first explore expectations from Effective Field Theory solved within a finite volume, for which the exact spectrum may be computed given different physical scenarios. We then present preliminary lattice QCD results for two-nucleon spectra calculated using different operators on a common lattice ensemble.

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