Wigner Phase-Space Densities of Nuclear Clusters and Hypernuclei

TL;DR

This paper calculates Wigner phase-space densities for light nuclear clusters and hypernuclei using realistic potentials, aiding in better identification of clusters in heavy-ion collision experiments.

Contribution

It introduces a method to derive Wigner densities from solutions of the Schrödinger equation for light nuclear systems with realistic interactions.

Findings

Reproduces experimental rms radii and binding energies

Provides Wigner densities for clusters and hypernuclei

Enhances cluster identification in heavy-ion collisions

Abstract

We solve the Schr\"odinger equation for few-body systems to obtain the wave function for light nuclear clusters and hypernuclei from d to $\rm ^5_{\Lambda\Lambda}He$ employing realistic nucleon-nucleon and nucleon-$\Lambda$ potentials. We project the solution to the hyperspherical harmonic basis states to obtain the corresponding density matrices and the Wigner densities. The experimental root mean square (rms) radii and binding energies of the different clusters are well reproduced. The Wigner densities obtained will allow to improve the present coalescence approaches to identify clusters, created in heavy-ion collisions.