Quantum Monte Carlo Calculations of $A\le 6$ Nuclei

Abstract

The energies of ${}^{3}H$, ${}^{3}He$, and ${}^{4}He$ ground states, the ${\frac{3}{2}}^{-}$ and ${\frac{1}{2}}^{-}$ scattering states of ${}^{5}He$, the ground states of ${}^{6}He$, ${}^{6}Li$, and ${}^{6}Be$ and the $3^{+}$ and $0^{+}$ excited states of ${}^{6}Li$ have been accurately calculated with the Green's function Monte Carlo method using realistic models of two- and three-nucleon interactions. The splitting of the $A=3$ isospin $T=\frac{1}{2}$ and $A=6$ isospin $T=1$, $J^{\pi }=0^{+}$ multiplets is also studied. The observed energies and radii are generally well reproduced, however, some definite differences between theory and experiment can be identified.

Comments: 12 pages, 1 figure