Aharonov-Bohm effect and nucleon-nucleon phase shifts on the lattice

Physics – Nuclear Physics – Nuclear Theory

Scientific paper

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Scientific paper

10.1016/j.physletb.2004.04.045

We propose a method for the lattice QCD computation of nucleon-nucleon low-energy interactions. It consists in simulating QCD in the background of a ''electromagnetic" field whose potential is non-vanishing, but whose field strength is zero. By tuning the background field, phase-shifts at any (but small) momenta can be determined by measuring the shift of the ground state energy. Lattice sizes as small as 5 Fermi can be sufficient for the calculation of phase shifts up to momenta of order of $m_{\pi}/2$.

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