A new single-particle basis for nuclear many-body calculations

Abstract

Predominantly, harmonic oscillator single-particle wave functions are the choice as a basis in ab-initio nuclear many-body calculations. These wave-functions, although very convenient in order to evaluate the matrix elements of the interaction in the laboratory frame, have a too fast fall-off at large distances. In the past, in alternative to the harmonic oscillator, other single-particle wave functions have been proposed. In this work we propose a new single-particle basis, directly linked to the nucleon-nucleon interaction. This new basis is orthonormal and complete, has the proper asymptotic behavior at large distances and does not contain the continuum which would pose severe convergence problems in nuclear many body calculations. We consider the newly proposed NNLO-opt nucleon-nucleon interaction, without any renormalization. We show that unlike other basis, this single-particle representation has a computational cost similar to the harmonic oscillator basis with the same space truncation and it gives lower energies for ${}^{6}He$ and ${}^{6}Li$.

arXiv comment27 pages 6 figures

References in corpus (20)

• Modern Theory of Nuclear Forces
• Chiral effective field theory and nuclear forces
• Accurate Charge-Dependent Nucleon-Nucleon Potential at Fourth Order of Chiral Perturbation Theory
• Coupled-cluster computations of atomic nuclei
• Properties of ${}^{12}$C in the {\it ab initio} nuclear shell-model
• Self-consistent Green's function method for nuclei and nuclear matter
• Accurate nuclear radii and binding energies from a chiral interaction
• The In-Medium Similarity Renormalization Group: A Novel Ab Initio Method for Nuclei
• An optimized chiral nucleon-nucleon interaction at next-to-next-to-leading order
• Ab initio coupled-cluster approach to nuclear structure with modern nucleon-nucleon interactions
• Unified ab initio approaches to nuclear structure and reactions
• Ab-initio Gorkov-Green's function calculations of open-shell nuclei
• Coupled cluster approach to nuclear physics
• Corrections to nuclear energies and radii in finite oscillator spaces
• Universal properties of infrared oscillator basis extrapolations
• Gamow shell model and realistic nucleon-nucleon interactions
• Systematic expansion for infrared oscillator basis extrapolations
• Coulomb-Sturmian basis for the nuclear many-body problem
• Halo nuclei 6He and 8He with the Coulomb-Sturmian basis
• Ab-initio calculation of the ${}^{6}Li$ binding energy with the Hybrid Multideterminant scheme

Cited by in corpus (3)

• Effect of residual many-body forces due to the evolution in the in-medium similarity renormalization group method
• Many-body calculations with Deuteron based single-particle bases and their associated natural orbits
• Deformed natural orbitals for ab initio calculations