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arxiv: 1810.12747 · v1 · pith:F77VIBXFnew · submitted 2018-10-30 · ✦ hep-lat · nucl-th

Three neutrons from Lattice QCD

classification ✦ hep-lat nucl-th
keywords correlatorsthreeallowscalculationslatticenucleonthree-neutronab-initio
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We present a study on ab-initio calculations of three-neutron correlators from Lattice QCD. We extend the method of baryon blocks to systems of three spacially displaced baryons. This allows the measurement of three-neutron $p$-wave correlators with total spin $S=1/2$ and $3/2$. In addition, we use automatic code generation that has high flexibility and allows for easy inclusion of additional channels in the future while optimizing the evaluation of contractions. Our measurements were performed on a newly generated $96\times 48^3$ Clover-Wilson gauge field ensemble with $m_{\pi} \approx 370\,\text{MeV}$. We present preliminary results of our calculations of one pion and nucleon as well as two nucleon ($2N$) and three neutron ($3n$) correlators.

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