$Ab$ $initio$ nuclear many-body perturbation calculations in the Hartree-Fock basis

Abstract

Starting from realistic nuclear forces, the chiral N${}^3$LO and JISP16, we have applied many-body perturbation theory (MBPT) to the structure of closed-shell nuclei, ${}^4$He and ${}^{16}$O. The two-body N${}^3$LO interaction is softened by a similarity renormalization group transformation while JISP16 is adopted without renormalization. The MBPT calculations are performed within the Hartree-Fock (HF) bases. The angular momentum coupled scheme is used, which can reduce the computational task. Corrections up to the third order in energy and up to the second order in radius are evaluated. Higher-order corrections in the HF basis are small relative to the leading-order perturbative result. Using the anti-symmetrized Goldstone diagram expansions of the wave function, we directly correct the one-body density for the calculation of the radius, rather than calculate corrections to the occupation propabilities of single-particle orbits as found in other treatments. We compare our results with other methods where available and find good agreement. This supports the conclusion that our methods produce reasonably converged results with these interactions. We also compare our results with experimental data.

References in corpus (13)

• Chiral effective field theory and nuclear forces
• Accurate nuclear radii and binding energies from a chiral interaction
• Similarity Renormalization Group for Nucleon-Nucleon Interactions
• Recent developments in no-core shell-model calculations
• Evolution of Nuclear Many-Body Forces with the Similarity Renormalization Group
• Ab initio no-core full configuration calculations of light nuclei
• Medium-mass nuclei from chiral nucleon-nucleon interactions
• Nuclear Structure in the Framework of the Unitary Correlation Operator Method
• Convergence in the no-core shell model with low-momentum two-nucleon interactions
• Matrix Elements and Few-Body Calculations within the Unitary Correlation Operator Method
• Solution of the center-of-mass problem in nuclear structure calculations
• Quantum Monte Carlo calculations of electroweak transition matrix elements in A = 6,7 nuclei
• Nuclear matter with JISP16 NN interaction

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