Evolved chiral NN+3N Hamiltonians for ab initio nuclear structure calculations

Robert Roth, Angelo Calci, Joachim Langhammer, and Sven Binder
Phys. Rev. C 90, 024325 – Published 27 August 2014

Abstract

We discuss the building blocks for a consistent inclusion of chiral three-nucleon (3N) interactions into ab initio nuclear structure calculations beyond the lower p shell. We highlight important technical developments, such as the similarity renormalization group (SRG) evolution in the 3N sector, a JT-coupled storage scheme for 3N matrix elements with efficient on-the-fly decoupling, and the importance-truncated no-core shell model with 3N interactions. Together, these developments make converged ab initio calculations with explicit 3N interactions possible also beyond the lower p 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-3N contributions of the evolved Hamiltonian. Both truncations lead to sizable effects in the upper p 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.

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  • Received 14 November 2013
  • Revised 1 July 2014

DOI:https://doi.org/10.1103/PhysRevC.90.024325

©2014 American Physical Society

Authors & Affiliations

Robert Roth*, Angelo Calci, Joachim Langhammer, and Sven Binder§

  • Institut für Kernphysik, Technische Universität Darmstadt, 64289 Darmstadt, Germany

  • *robert.roth@physik.tu-darmstadt.de
  • angelo.calci@physik.tu-darmstadt.de
  • joachim.langhammer@physik.tu-darmstadt.de
  • §sven.binder@physik.tu-darmstadt.de

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Issue

Vol. 90, Iss. 2 — August 2014

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