Exact sum rules with approximate ground states
arXiv:2005.10143 · doi:10.1088/1361-6471/abacda
Abstract
Electromagnetic and weak transitions tell us a great deal about the structure of atomic nuclei. Yet modeling transitions can be difficult: it is often easier to compute the ground state, if only as an approximation, than excited states. One alternative is through transition sum rules, in particular the non-energy-weighted and energy-weighted sum rules, which can be computed as expectation values of operators. We investigate by computing sum rules for a variety of nuclei, comparing the numerically exact full configuration-interaction shell model, as a reference, to Hartree-Fock, projected Hartree-Fock, and the nucleon pair approximation. These approximations yield reasonable agreement, which we explain by prior work on the systematics of transition moments.
15 pages, 5 figures, 1 table; revised version to match published version
References in corpus (26)
- The Shell Model as Unified View of Nuclear Structure
- Quantum Monte Carlo Calculations of Light Nuclei
- Coupled-cluster computations of atomic nuclei
- Effective interaction for pf-shell nuclei
- The effective g_A in the pf-shell
- Monte Carlo evaluation of path integrals for the nuclear shell model
- Ab initio coupled-cluster approach to nuclear structure with modern nucleon-nucleon interactions
- Chiral two-body currents in nuclei: Gamow-Teller transitions and neutrinoless double-beta decay
- Quantum Monte Carlo Calculations of Light Nuclei
- Nuclear Shell Model by the Quantum Monte Carlo Diagonalization Method
- Factorization in large-scale many-body calculations
- Electromagnetic two-body currents of one- and two-pion range
- Energy density functional for nuclei and neutron stars
- Khon-Sham Density Functional Inspired Approach to Nuclear Binding
- Electric dipole polarizability from first principles calculations
- Quantum Monte Carlo calculations of magnetic moments and M1 transitions in A<=7 nuclei including meson-exchange currents
- RPA vs. exact shell-model correlation energies
- Systematics of strength function sum rules
- An efficient method for evaluating energy-dependent sum rules
- Gamow-Teller transitions and deformation in the proton-neutron random phase approximation
- Isovector pairing in a formalism of quartets for N=Z nuclei
- Nucleons pair shell model in M-scheme
- Projection of angular momentum via linear algebra
- Transition sum rules in the shell model
- Convergence and efficiency of angular momentum projection for many-body systems
- Nuclear Structure Features of Gamow-Teller Excitations