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Nucleon-nucleon scattering from distillation

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arxiv 2212.09587 v1 pith:FZAVA3SV submitted 2022-12-19 hep-lat

Nucleon-nucleon scattering from distillation

classification hep-lat
keywords waveslatticedistillationnucleon-nucleonscatteringanalysisapproxartifacts
verification ladder T0 review T1 audit T2 compute T3 formal T4 reserved
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We report an ongoing analysis of nucleon-nucleon scattering based on finite-volume spectroscopy. The calculation is performed using the distillation method on eight lattice ensembles at the SU(3)-symmetric point with $m_\pi=m_K\approx 420$ MeV generated by CLS, covering a range of lattice spacings and volumes and previously used to study the $H$ dibaryon. We obtain nonzero signals for $S$, $P$, $D$, and $F$ waves as well as the mixing between spin-1 $S$ and $D$ waves. For $S$ waves, lattice artifacts are significant and tend to strengthen baryon-baryon interactions. In the deuteron and dineutron $S$ waves, we find virtual bound states.

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