Towards the continuum coupling in nuclear lattice effective field theory I: A three-particle model

TL;DR

This paper explores how a third particle affects weakly bound states in nuclear physics using a simple continuum and lattice model, aiming to improve understanding of continuum coupling effects.

Contribution

It introduces a three-particle model to study continuum coupling effects in nuclear lattice effective field theory, focusing on weakly bound states.

Findings

Third particle influences the properties of loosely bound states.

Lattice and continuum models show consistent effects of continuum coupling.

Results provide insights into the role of additional particles in nuclear binding.

Abstract

Weakly bound states often occur in nuclear physics. To precisely understand their properties, the coupling to the continuum should be worked out explicitely. In a 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.