Convergence in the no-core shell model with low-momentum two-nucleon interactions
Abstract
The convergence of no-core shell model (NCSM) calculations using renormalization group evolved low-momentum two-nucleon interactions is studied for light nuclei up to Li-7. Because no additional transformation was used in applying the NCSM framework, the energy calculations satisfy the variational principle for a given Hamiltonian. Dramatic improvements in convergence are found as the cutoffs are lowered. The renormalization group equations are truncated at two-body interactions, so the evolution is only approximately unitary and converged energies for A > 2 vary with the cutoff. This approximation is systematic, however, and for useful cutoff ranges the energy variation is comparable to natural-size truncation errors inherent from the initial chiral effective field theory potential.
Cite
@article{arxiv.0708.3754,
title = {Convergence in the no-core shell model with low-momentum two-nucleon interactions},
author = {S. K. Bogner and R. J. Furnstahl and P. Maris and R. J. Perry and A. Schwenk and J. P. Vary},
journal= {arXiv preprint arXiv:0708.3754},
year = {2008}
}
Comments
27 pages, 24 figures, improved discussion on running of energies