We have performed Monte Carlo calculations to estimate the exact energies of model problems for4He and the L=0,1, and 2 states of6Li. Using a Feynman path-integral expression for the imaginary-time evolution operator, we recast the ground state energy as a sum over histories, which are then sampled stochastically. Use of a trial wave function dramatically improves the efficiency of the Monte Carlo method. For a state-independent Malfliet-Tjon potential, together with the Coulomb interaction, we find a ground state energy of -28.00+0.20 MeV for4He, and a degeneracy of the L=0,1, and 2 states in6Li at about -59.65+-0.50 MeV. Density distributions for these nuclei are also calculated.
ASJC Scopus subject areas
- Nuclear and High Energy Physics