Perspectives on Nuclear Structure and Scattering with the Ab Initio No-Core Shell Model

Abstract

Nuclear structure and reaction theory are undergoing a major renaissance with advances in many-body methods, strong interactions with greatly improved links to Quantum Chromodynamics (QCD), the advent of high performance computing, and improved computational algorithms. Predictive power, with well-quantified uncertainty, is emerging from non-perturbative approaches along with the potential for new discoveries such as predicting nuclear phenomena before they are measured. We present an overview of some recent developments and discuss challenges that lie ahead. Our focus is on explorations of alternative truncation schemes in the harmonic oscillator basis, of which our Japanese--United States collaborative work on the No-Core Monte-Carlo Shell Model is an example. Collaborations with Professor Takaharu Otsuka and his group have been instrumental in these developments.

arXiv comment8 pages, 5 figures, accepted for publication in Proceedings of Perspectives of the Physics of Nuclear Structure, JPS Conference Proceedings, Japan (to appear)

References in corpus (13)

• Ab initio no-core full configuration calculations of light nuclei
• Many-body nuclear Hamiltonian: Ab exitu approach
• N3LO NN interaction adjusted to light nuclei in ab exitu approach
• Solution of the center-of-mass problem in nuclear structure calculations
• Benchmarks of the full configuration interaction, Monte Carlo shell model, and no-core full configuration methods
• Coulomb-Sturmian basis for the nuclear many-body problem
• Microscopic optical potentials derived from ab initio translationally invariant nonlocal one-body densities
• Halo nuclei 6He and 8He with the Coulomb-Sturmian basis
• Natural orbital description of the halo nucleus 6He
• Ab initio Translationally Invariant Nonlocal One-body Densities from No-core Shell-model Theory
• Ab initio nuclear structure calculations of light nuclei
• Benchmark calculation of no-core Monte Carlo shell model in light nuclei
• Algebraic evaluation of matrix elements in the Laguerre function basis

Cited by in corpus (3)

• Variational Monte Carlo calculations of $\mathbf{A}\le 4$ nuclei with an artificial neural-network correlator ansatz
• Natural orbitals for the ab initio no-core configuration interaction approach
• Intrinsic operators for the translationally-invariant many-body problem