An Extrapolation Method for the No-Core Shell Model Calculation
Abstract
Nuclear many-body calculations are computationally demanding. An estimate of their accuracy is often hampered by the limited amount of computational resources even on present-day supercomputers. We provide an extrapolation method, so that the binding energy of a large space calculation can be estimated without diagonalizing the Hamiltonian in this space. The extrapolation method is tested on the ^3H nucleus and the ^6Li nucleus. For ^3H, the error of the extrapolated binding energy, compared to the exact result from the Hamiltonian, is 20--50 keV, and for ^6Li 200--500 keV. The error depends on the size of the model space, which is sufficient for ^3H but still limited by computer memories in the case of ^6Li. Nevertheless, the extrapolation is much less demanding on both hardware resources and running time than solving the full Hamiltonian. Thus, it will extend our computational abilities significantly and allow for reliable error estimates.
- Publication:
-
APS Division of Nuclear Physics Meeting Abstracts
- Pub Date:
- October 2003
- Bibcode:
- 2003APS..DNP.BE007Z