The alpha-particle based on modern nuclear forces

TL;DR

This paper solves the Faddeev-Yakubovsky equations for the alpha-particle using modern nuclear force models, achieving accurate binding energies close to experimental values and analyzing model dependencies.

Contribution

It provides precise alpha-particle binding energy calculations incorporating charge-symmetry breaking, Coulomb, and three-nucleon forces, advancing nuclear force modeling.

Findings

Results are close to experimental binding energies with slight overbinding.

Model dependencies affect binding energies and wave functions.

Limited room for four-nucleon interactions in alpha-particle binding energy.

Abstract

The Faddeev-Yakubovsky equations for the alpha-particle are solved. Accurate results are obtained for several modern NN interaction models, which include charge-symmetry breaking effects in the NN force, nucleon mass dependences as well as the Coulomb interaction. These models are augmented by three-nucleon forces of different types and adjusted to the 3N binding energy. Our results are close to the experimental binding energy with a slight overbinding. Thus there is only little room left for the contribution of possible 4N interactions to the alpha-particle binding energy. We also discuss model dependences of the binding energies and the wave functions.