QMC Calculations of Light Nuclei

Astronomy and Astrophysics – Astrophysics

Scientific paper

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Scientific paper

Reliable calculations of nuclei using realistic interactions are particularly difficult due to the strong spin and isospin dependence of the forces. In particular the strong tensor force from pion exchange induces strong spin-space correlations in nuclear wave functions. Both two- and three-nucleon forces must be included to reproduce the total binding energy. In the last few years significant progress has been made in Green's function Monte Carlo (GFMC) calculations of up to 10-body nuclei and Auxiliary Field Diffusion Monte Carlo (AFDMC) calculations of large systems of neutrons. The use of constrained-path methods is essential for overcoming the Fermion sign problem. These calculations are quite large; the A=10 GFMC calculations require more than 10,000 processor-hours on modern parallel computers. I will briefly describe these methods and show various tests of their reliability; the GFMC calculations are believed to give binding energies accurate to at least 2with the same Hamiltonians will also be presented. Finally some of our recent results for A=9,10 nuclei will be shown.

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