Cluster properties in Poincare invariant quantum mechanics

TL;DR

This paper quantitatively assesses the size of corrections needed to restore cluster properties in Poincare invariant quantum models, finding these corrections are negligible for nuclear physics observables.

Contribution

It provides a simple model to evaluate the magnitude of cluster property corrections in Poincare invariant quantum mechanics.

Findings

Corrections to restore cluster properties are very small.

These corrections are unlikely to affect nuclear physics calculations.

Model results suggest negligible impact on meson and nucleon based models.

Abstract

Using a simple model we provide a quantitative study of the size of the corrections needed to restore cluster properties to the construction of Poincare invariant dynamical models with kinematic spins, first provided by B. Bakamjian and L. H. Thomas. Our model calculations suggest that these corrections are too small to have a quantitative impact on nuclear physics observables calculated using models with meson and nucleon degrees of freedom.