At m_pi ≈ 292 MeV, lattice QCD finds virtual-state poles, not bound states, in both the 3S1 and 1S0 nucleon-nucleon channels.
Two Particle States in an Asymmetric Box and the Elastic Scattering Phases
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abstract
The exact two-particle energy eigenstates in a generic asymmetric rectangular box with periodic boundary conditions in all three directions are studied. Their relation with the elastic scattering phases of the two particles in the continuum are obtained for both $D_4$ and $D_2$ symmetry. These results can be viewed as a generalization of the corresponding formulae in a cubic box obtained by L\"uscher before. In particular, the s-wave scattering length is related to the energy shift in the finite box. Possible applications of these formulae are also discussed.
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Two-nucleon systems at $m_{\pi}\approx292$ MeV from lattice QCD
At m_pi ≈ 292 MeV, lattice QCD finds virtual-state poles, not bound states, in both the 3S1 and 1S0 nucleon-nucleon channels.