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arxiv: hep-lat/0311035 · v4 · submitted 2003-11-25 · ✦ hep-lat

Two Particle States in an Asymmetric Box

classification ✦ hep-lat
keywords asymmetricenergyformulaeobtainedscatteringapplicationsbeforeboundary
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The exact two-particle energy eigenstates in an 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. 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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  1. Two-nucleon systems at $m_{\pi}\approx292$ MeV from lattice QCD

    hep-lat 2026-05 accept novelty 5.0

    Lattice QCD at m_pi≈292 MeV finds virtual poles in the ^3S1 and ^1S0 NN channels with binding energies 6^{+5}_{-3} MeV and 11^{+6}_{-5} MeV, extracted via Lüscher and NPHF analyses.