Jacobi no-core shell model for p-shell nuclei

Abstract

We introduce an algorithm to obtain coefficients of fractional parentage for light $p$-shell nuclei. The coefficients enable to use Jacobi coordinates in no-core shell model calculations separating off the center-of-mass motion. Fully antisymmetrized basis states are given together with recoupling coefficients that allow one to apply two- and three-nucleon operators. As an example, we study the dependence on the harmonic oscillator frequency of ${}^3$H, ${}^4$He, ${}^6$He, ${}^6$Li and ${}^7$Li and extract their binding and excitation energies. The coefficients will be made openly accessible as HDF5 data files.

23 pages, 17 figures

References in corpus (13)

• Chiral effective field theory and nuclear forces
• Similarity Renormalization Group for Nucleon-Nucleon Interactions
• Structure of A=10-13 nuclei with two- plus three-nucleon interactions from chiral effective field theory
• Evolution of Nuclear Many-Body Forces with the Similarity Renormalization Group
• Evolving Nuclear Many-Body Forces with the Similarity Renormalization Group
• Ab initio four-body calculation of n-3He, p-3H, and d-d scattering
• Four-nucleon force using the method of unitary transformation
• P-shell nuclei using Similarity Renormalization Group evolved three-nucleon interactions
• Ab Initio Calculations of Medium-Mass Nuclei with Explicit Chiral 3N Interactions
• Effective operators within the ab initio no-core shell model
• Coulomb-Sturmian basis for the nuclear many-body problem
• Charge radii and electromagnetic moments of Li and Be isotopes from the ab initio no-core shell model
• Infrared extrapolations for atomic nuclei

Cited by in corpus (15)

• First-principle calculations of Dark Matter scattering off light nuclei
• Charge symmetry breaking in the A=4 hypernuclei
• Implications of an increased $\Lambda$-separation energy of the hypertriton
• Jacobi no-core shell model for $p$-shell hypernuclei
• Similarity renormalization group evolution of hypernuclear Hamiltonians
• Emergence of clusters: Halos, Efimov states, and experimental signals
• Machine Learning for the Prediction of Converged Energies from Ab Initio Nuclear Structure Calculations
• $A=4-7$ $\Xi$ hypernuclei based on interactions from chiral effective field theory
• Quenched Λ spin-orbit splitting by relativistic Fock diagram in single-Λ hypernuclei
• S-shell $\Lambda \Lambda$ hypernuclei based on chiral interactions
• A combined mean-field and three-body model tested on the ${}^{26}$O-nucleus
• Uncertainties in ab initio nuclear structure calculations with chiral interactions
• Nucleon-deuteron scattering with the JISP16 potential
• Dark matter scattering off ${}^4$He in chiral effective field theory
• Singular Value Decomposition and Similarity Renormalization Group Evolution of Nuclear Interactions