Trapped two-nucleon system in energy-dependent effective field theory

TL;DR

This paper develops an energy-dependent effective field theory framework to relate trapped two-nucleon energy levels to scattering phase shifts, helping to disentangle trapping effects from intrinsic interactions.

Contribution

It introduces a novel approach connecting trapped energy levels with scattering amplitudes using energy-dependent EFT, applicable to nucleon-nucleon systems.

Findings

Framework successfully relates energy levels to phase shifts.

Method disentangles trapping effects from intrinsic interactions.

Applicable to various two-particle systems in traps.

Abstract

We discuss how to connect the energy levels of two-particle systems trapped by a harmonic-oscillator force to scattering amplitudes, with nucleon-nucleon scattering phase shifts in uncoupled channels as the application. At the center of the proposed framework is the energy-dependent effective field theory that aims to expand observables in a neighborhood around each reference energy, often taken to be one of the energy levels. We also investigate how to disentangle the trapping force at short distances and the intrinsic interaction between the particles.