Towards the continuum coupling in nuclear lattice effective field theory I: A three-particle model * *We acknowledge partial financial support from the Deutsche Forschungsgemeinschaft (SFB/TRR 110, "Symmetries and the Emergence of Structure in QCD", grant no. TRR 110), by the Chinese Academy of Sciences (CAS) President's International Fellowship Initiative (PIFI) (2018DM0034), by VolkswagenStiftung (93562) and by the Fundamental Research Funds

Abstract

Weakly bound states often occur in nuclear physics. To precisely understand their properties, the coupling to the continuum should be worked out explicitly. As the first step, we use a simple nuclear model in the continuum and on a lattice to investigate the influence of a third particle on a loosely bound state of a particle and a heavy core. Our approach is consistent with the Lüscher formalism.