Wigner Phase-Space Densities of Nuclear Clusters and Hypernuclei

Abstract

We solve the Schrödinger equation for few-body systems to obtain the wave function for light nuclear clusters and hypernuclei from d to ${}_{\mathrm{\Lambda \Lambda }}^5\mathrm{He}$ 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.

Comments: 9 pages, 3 figures