Abstract
We discuss the building blocks for a consistent inclusion of chiral three-nucleon () interactions into ab initio nuclear structure calculations beyond the lower shell. We highlight important technical developments, such as the similarity renormalization group (SRG) evolution in the sector, a -coupled storage scheme for matrix elements with efficient on-the-fly decoupling, and the importance-truncated no-core shell model with interactions. Together, these developments make converged ab initio calculations with explicit interactions possible also beyond the lower shell. We analyze in detail the impact of various truncations of the SRG-evolved Hamiltonian, in particular the truncation of the harmonic-oscillator model space used for solving the SRG flow equations and the omission of the induced beyond- contributions of the evolved Hamiltonian. Both truncations lead to sizable effects in the upper shell and beyond and we present options to remedy these truncation effects. The analysis of the different truncations is a first step towards a systematic uncertainty quantification of all stages of the calculation.
6 More- Received 14 November 2013
- Revised 1 July 2014
DOI:https://doi.org/10.1103/PhysRevC.90.024325
©2014 American Physical Society