Shell-model interactions from chiral effective field theory

Abstract

We construct valence-space Hamiltonians for use in shell-model calculations, where the residual two-body interaction is based on symmetry principles and the low-momentum expansion from chiral effective field theory. In addition to the usual free-space contact interactions, we also include novel center-of-mass--dependent operators that arise due to the Galilean invariance breaking by in-medium effects. We fitted the low-energy constants to 441 ground- and excited-state energies in the sd shell and obtained a root-mean-square derivation of 1.8 MeV at leading order and of 0.5 MeV at next-to-leading order, with natural low-energy constants in all cases. The developed chiral shell-model interactions enable order-by-order uncertainty estimates and show promising predictions for neutron-rich isotopes beyond the fitted data set.

arXiv comment19 pages, 12 figures, published version

References in corpus (27)

• Modern Theory of Nuclear Forces
• Chiral effective field theory and nuclear forces
• The Shell Model as Unified View of Nuclear Structure
• The two-nucleon system at next-to-next-to-next-to-leading order
• Novel features of nuclear forces and shell evolution in exotic nuclei
• Coupled-cluster computations of atomic nuclei
• Three-body forces and the limit of oxygen isotopes
• The In-Medium Similarity Renormalization Group: A Novel Ab Initio Method for Nuclei
• Improved chiral nucleon-nucleon potential up to next-to-next-to-next-to-leading order
• Quantifying truncation errors in effective field theory
• A nucleus-dependent valence-space approach to nuclear structure
• Nonperturbative shell-model interactions from the in-medium similarity renormalization group
• Shell-model calculations and realistic effective interactions
• Ab-initio coupled-cluster effective interactions for the shell model: Application to neutron-rich oxygen and carbon isotopes
• In-Medium Similarity Renormalization Group for Open-Shell Nuclei
• Polarization contributions to the spin-dependence of the effective interaction in neutron matter
• Three-body forces and shell structure in calcium isotopes
• Exploring sd-shell nuclei from two- and three-nucleon interactions with realistic saturation properties
• Three-nucleon forces and spectroscopy of neutron-rich calcium isotopes
• Open $sd$-shell nuclei from first principles
• The general harmonic-oscillator brackets: compact expression, symmetries, sums and Fortran code
• Ab initio effective interactions for sd-shell valence nucleons
• Ultraviolet extrapolations in finite oscillator bases
• Analyzing the Fierz Rearrangement Freedom for Local Chiral Two-Nucleon Potentials
• Derivative-free optimization for parameter estimation in computational nuclear physics
• Effective proton-neutron interaction near the drip line from unbound states in ${}^{25,26}$F
• Excited states in the neutron-rich nucleus 25F

Cited by in corpus (12)

• A Guided Tour of Ab Initio Nuclear Many-Body Theory
• Non-Empirical Interactions for the Nuclear Shell Model: An Update
• Two-neutron halo structure of ${}^{31}$F
• Unbound spectra of neutron-rich oxygen isotopes predicted by the Gamow shell model
• Description of proton-rich nuclei in the $A\sim 20$ region with the Gamow shell model
• Gamow Shell Model description of Li isotopes and their mirror partners
• Uncertainty quantification in nuclear shell model
• One-neutron halo structure of ${}^{29}$Ne
• Shell model results for nuclear ${\beta }^{-}$-decay properties of $sd$ shell nuclei
• $Abinitio$ description of collectivity for $sd$ shell nuclei
• Exploring the possible two-proton radioactivity of ${}^{38,39}$Ti
• Weak interaction rates of $sd$-shell Urca pairs in stellar environment using a shell-model approach