P-shell nuclei using Similarity Renormalization Group evolved three-nucleon interactions

Abstract

The Similarity Renormalization Group (SRG) is used to soften interactions for ab initio nuclear structure calculations by decoupling low- and high-energy Hamiltonian matrix elements. The substantial contribution of both initial and SRG-induced three-nucleon forces requires their consistent evolution in a three-particle basis space before applying them to larger nuclei. While in principle the evolved Hamiltonians are unitarily equivalent, in practice the need for basis truncation introduces deviations, which must be monitored. Here we present benchmark no-core full configuration calculations with SRG-evolved interactions in p-shell nuclei over a wide range of softening. These calculations are used to assess convergence properties, extrapolation techniques, and the dependence of energies, including four-body contributions, on the SRG resolution scale.

19 pages, 25 figures

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• Recent developments in no-core shell-model calculations
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• Ab Initio Many-Body Calculations of n-3H, n-4He, p-{3,4}He, and n-10Be Scattering
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• Convergence in the no-core shell model with low-momentum two-nucleon interactions
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• Corrections to nuclear energies and radii in finite oscillator spaces
• Convergence properties of {\itshape ab initio} calculations of light nuclei in a harmonic oscillator basis
• Evolving Nuclear Many-Body Forces with the Similarity Renormalization Group
• Universal properties of infrared oscillator basis extrapolations
• Benchmark calculations for 3H, 4He, 16O and 40Ca with ab-initio coupled-cluster theory
• Momentum space evolution of chiral three-nucleon forces
• Coulomb-Sturmian basis for the nuclear many-body problem
• Block Diagonalization using SRG Flow Equations
• Are low-energy nuclear observables sensitive to high-energy phase shifts?
• Emergence of rotational bands in ab initio no-core configuration interaction calculations of light nuclei
• Decoupling in the Similarity Renormalization Group for Nucleon-Nucleon Forces
• Similarity Renormalization Group Evolution of Many-Body Forces in a One-Dimensional Model
• Exact-exchange density functional theory for neutron drops
• The no-core shell model with general radial bases

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• Magnetic moments of $A=3$ nuclei with chiral effective field theory operators
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• Modification of tensor force in \textit{p}-shell effective interaction
• Limit Cycles from the Similarity Renormalization Group