Infrared extrapolations of quadrupole moments and transitions

Abstract

We study the convergence of bound-state quadrupole moments in finite harmonic oscillator spaces. We derive an expression for the infrared extrapolation for the quadrupole moment of a nucleus and benchmark our results using different model interactions for the deuteron. We find good agreement between the analytically derived and numerically obtained convergence behavior. We also derive an extrapolation formula for electric quadrupole transitions and find good agreement with the numerical calculation of a simple system.

11 pages, 6 figures

References in corpus (10)

• Chiral effective field theory and nuclear forces
• Recent developments in no-core shell-model calculations
• 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
• Corrections to nuclear energies and radii in finite oscillator spaces
• Evolving Nuclear Many-Body Forces with the Similarity Renormalization Group
• No-core shell model in an effective-field-theory framework
• Universal properties of infrared oscillator basis extrapolations
• Infrared length scale and extrapolations for the no-core shell model
• Infrared extrapolations for atomic nuclei

Cited by in corpus (22)

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• Deep learning: Extrapolation tool for ab initio nuclear theory
• Extrapolation of nuclear structure observables with artificial neural networks
• Ab initio no-core solutions for ${}^6$Li
• Large-scale exact diagonalizations reveal low-momentum scales of nuclei
• Sensitivities and correlations of nuclear structure observables emerging from chiral interactions
• Confirmation of $g_{\mathrm{A}}$ quenching using the revised spectrum-shape method for the analysis of the ${}^{113}$Cd $\beta$-decay as measured with the COBRA demonstrator
• Robust ab initio prediction of nuclear electric quadrupole observables by scaling to the charge radius
• First Measurement of the $B(E2;3/2^{-}\to 1/2^{-})$ Transition Strength in ${}^7$Be: Testing Ab Initio Predictions for $A=7$ Nuclei
• Benchmark neutrinoless double-beta decay matrix elements in a light nucleus
• Quadrupole moments and proton-neutron structure in p-shell mirror nuclei
• Ab initio no-core properties of 7Li and 7Be with JISP16 and NNLO_opt interactions
• Ab initio estimation of $E2$ strengths in ${}^8$Li and its neighbors by normalization to the measured quadrupole moment
• Probing the quadrupole transition strength of 15C via deuteron inelastic scattering
• Corrections to nucleon capture cross sections computed in truncated Hilbert spaces
• Quadrupole dynamics of carbon isotopes and 10Be
• Robust ab initio predictions for dimensionless ratios of E2 and radius observables. II. Estimation of E2 transition strengths by calibration to the charge radius
• Robust ab initio predictions for dimensionless ratios of E2 and radius observables. I. Electric quadrupole moments and deformation
• Singular Value Decomposition and Similarity Renormalization Group Evolution of Nuclear Interactions