Benchmark calculations of electromagnetic sum rules with a symmetry-adapted basis and hyperspherical harmonics

Abstract

We demonstrate the ability to calculate electromagnetic sum rules with the \textit{ab initio} symmetry-adapted no-core shell model. By implementing the Lanczos algorithm, we compute non-energy weighted, energy weighted, and inverse energy weighted sum rules for electric monopole, dipole, and quadrupole transitions in ${}^4$He using realistic interactions. We benchmark the results with the hyperspherical harmonics method and show agreement within $2\sigma$, where the uncertainties are estimated from the use of the many-body technique. We investigate the dependence of the results on three different interactions, including chiral potentials, and we report on the ${}^4$He electric dipole polarizability calculated in the SA-NCSM that reproduces the experimental data and earlier theoretical outcomes. We also detail a novel use of the Lawson procedure to remove the spurious center-of-mass contribution to the sum rules that arises from using laboratory-frame coordinates. We further show that this same technique can be applied in the Lorentz integral transform method, with a view toward studies of electromagnetic reactions for light through medium-mass nuclei.

arXiv comment11 pages, 7 figures

References in corpus (39)

• Correlated Electrons in High Temperature Superconductors
• Accurate Charge-Dependent Nucleon-Nucleon Potential at Fourth Order of Chiral Perturbation Theory
• Properties of ${}^{12}$C in the {\it ab initio} nuclear shell-model
• Charge, neutron, and weak size of the atomic nucleus
• Discrepancy between experimental and theoretical $\beta$-decay rates resolved from first principles
• An optimized chiral nucleon-nucleon interaction at next-to-next-to-leading order
• Structure of the lightest tin isotopes
• Nonperturbative shell-model interactions from the in-medium similarity renormalization group
• Response Functions from Integral Transforms with a Lorentz Kernel
• Many-body nuclear Hamiltonian: Ab exitu approach
• Electric dipole polarizability of ${}^{48}$Ca and implications for the neutron skin
• The Lorentz Integral Transform (LIT) method and its applications to perturbation induced reactions
• State Dependent Effective Interaction for the Hyperspherical Formalism
• Structure of ${}^{78}$Ni from first principles computations
• Collective Modes in Light Nuclei from First Principles
• Symmetry-guided large-scale shell-model theory
• Physics of nuclei: Key role of an emergent symmetry
• Evidence for Symplectic Symmetry in Ab Initio No-Core Shell Model Results for Light Nuclei
• First principles description of the giant dipole resonance in 16O
• Giant and pigmy dipole resonances in 4He, 16,22O, and 40Ca from chiral nucleon-nucleon interactions
• Ab initio calculation of the potential bubble nucleus ${}^{34}$Si
• Open $sd$-shell nuclei from first principles
• Electric dipole polarizability from first principles calculations
• The ${}^4$He total photo-absorption cross section with two- plus three-nucleon interactions from chiral effective field theory
• Nuclear polarization corrections in the mu-4He+ Lamb shift
• Efficacy of the SU(3) scheme for ab initio large-scale calculations beyond the lightest nuclei
• Ab initio calculation of nuclear structure corrections in muonic atoms
• Computing the dipole polarizability of 48Ca with increased precision
• Structure of A = 7 - 8 nuclei with two- plus three-nucleon interactions from chiral effective field theory
• Nuclear structure corrections to the Lamb shift in ${\mu }^3$He${}^{+}$ and ${\mu }^3$H
• An efficient method for evaluating energy-dependent sum rules
• Benchmark calculation of inclusive electromagnetic responses in the four-body nuclear system
• Photonuclear sum rules and the tetrahedral configuration of ${}^4$He
• Electron-scattering form factors for 6Li in the ab initio symmetry-guided framework
• Electric Dipole Polarizabilities of Hydrogen and Helium Isotopes
• Transition sum rules in the shell model
• The nuclear electric polarizability of 6He
• Incorporation of three-nucleon force in the effective interaction hyperspherical harmonic approach
• Electromagnetic reactions from coupled-cluster theory

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• Machine learning approach to pattern recognition in nuclear dynamics from the ab initio symmetry-adapted no-core shell model
• Electromagnetic observables of open-shell nuclei from coupled-cluster theory
• Efficacy of the symmetry-adapted basis for ab initio nucleon-nucleus interactions for light- and intermediate-mass nuclei
• Ab initio translationally invariant nucleon-nucleus optical potentials
• Ab initio single-neutron spectroscopic overlaps in lithium isotopes
• Computing nuclear response functions with time-dependent coupled-cluster theory
• Ab initio informed 20Ne(p, p$\alpha$)16O reaction elucidates the emergence of alpha clustering from chiral potentials
• Direct ab initio calculation of the ${}^4$He nuclear electric dipole polarizability
• Removing center of mass effects in response function and sum rule calculations based on the harmonic oscillator basis