Convergence in the no-core shell model with low-momentum two-nucleon interactions

Details Convergence in the no-core shell model with low-momentum two-nucleon interactions Convergence in the no-core shell model with low-momentum two-nucleon interactions

2007-08-28

arxiv.org/abs/0708.3754v2

Nucl.Phys.A801:21-42,2008

Physics

Nuclear Physics

Nuclear Theory

27 pages, 24 figures, improved discussion on running of energies

Scientific paper

10.1016/j.nuclphysa.2007.12.008

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.

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