Chiral NNLO${}_{\text{sat}}$ descriptions of nuclear multipole resonances within the random phase approximation

Abstract

We study nuclear multipole resonances in the framework of the random phase approximation using the chiral potential NNLO${}_{\text{sat}}$. This potential includes two- and three-body terms that has been simultaneously optimized to low-energy nucleon-nucleon scattering data and selected nuclear structure data. Our main foci have been the isoscalar monopole, isovector dipole, and isoscalar quadrupole resonances of the closed-shell nuclei, ${}^4$He, ${}^{16,22,24}$O, and ${}^{40,48}$Ca. These resonance modes have been widely observed in experiment. In addition, we use a renormalized chiral potential $V_{\text{low-}k}$, based on the N${}^3$LO two-body potential by Entem and Machleidt [Phys. Rev. \textbf{C68}, 041001 (2011)]. This introduces a dependency on the cutoff parameter used in the normalization procedure as reported in previous works by other groups. While NNLO${}_{\text{sat}}$ can reasonably reproduce observed multipole resonances, it is not possible to find a single cutoff parameter for the $V_{\text{low-}k}$ potential that simultaneously describe the different types of resonance modes. The sensitivity to the cutoff parameter can be explained by missing induced three-body forces in the calculations. Our results for neutron-rich ${}^{22,24}$O show a mixing nature of isoscalar and isovector resonances in the dipole channel at low energies. We predict that ${}^{22}$O and ${}^{24}$O have low-energy isoscalar quadrupole resonances at energies lower than 5 MeV.

arXiv comment25 pages, 8 figures

References in corpus (38)

• An accurate nucleon-nucleon potential with charge-independence breaking
• CODATA Recommended Values of the Fundamental Physical Constants: 2010
• Chiral effective field theory and nuclear forces
• Accurate Charge-Dependent Nucleon-Nucleon Potential at Fourth Order of Chiral Perturbation Theory
• Quantum Monte Carlo calculations of nuclei with A \leq 7
• Exotic modes of excitation in atomic nuclei far from stability
• Accurate nuclear radii and binding energies from a chiral interaction
• Model-independent low momentum nucleon interaction from phase shift equivalence
• Charge, neutron, and weak size of the atomic nucleus
• The Ground State Correlation Energy of the Random Phase Approximation from a Ring Coupled Cluster Doubles Approach
• Ab Initio Calculations of Medium-Mass Nuclei with Normal-Ordered Chiral NN+3N Interactions
• Quasiparticle random phase approximation based on the relativistic Hartree-Bogoliubov model
• Electric dipole polarizability of ${}^{48}$Ca and implications for the neutron skin
• Coupled-cluster theory for three-body Hamiltonians
• Ab Initio Path to Heavy Nuclei
• Collectivity of the low-lying dipole strength in relativistic random phase approximation
• Symmetry energy from the nuclear collective motion: constraints from dipole, quadrupole, monopole and spin-dipole resonances
• Nuclear Structure based on Correlated Realistic Nucleon-Nucleon Potentials
• Hartree-Fock and Many-Body Perturbation Theory with Correlated Realistic NN-Interactions
• Effect of the tensor force on the charge-exchange spin-dipole excitations of 208Pb
• First principles description of the giant dipole resonance in 16O
• alpha-particle photoabsorption with a realistic nuclear force
• Giant and pigmy dipole resonances in 4He, 16,22O, and 40Ca from chiral nucleon-nucleon interactions
• Giant Monopole Resonance in even-A Cd isotopes, the asymmetry term in nuclear incompressibility, and the "softness" of Sn and Cd nuclei
• Large-scale second RPA calculations with finite-range interactions
• 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
• Photodisintegration of Three-Body Nuclei with Realistic 2N and 3N Forces
• $Ab$ $initio$ nuclear many-body perturbation calculations in the Hartree-Fock basis
• Density functional approaches to collective phenomena in nuclei: Time-dependent density-functional theory for perturbative and non-perturbative nuclear dynamics
• Collective multipole excitations based on correlated realistic nucleon-nucleon interactions
• Quasiparticle Random Phase Approximation with Interactions from the Similarity Renormalization Group
• Are There Nuclear Structure Effects on the Isoscalar Giant Monopole Resonance and Nuclear Incompressibility near A~90?
• Probing Surface Quantum Flows in Deformed Pygmy Dipole Modes
• Electric dipole response of ${}^6$He: Halo-neutron and core excitations
• Is the first excited state of the $\alpha$-particle a breathing mode?
• Nuclear collective excitations using correlated realistic interactions: the role of explicit RPA correlations
• The asymmetry term in the nuclear-matter incompressibility from measurements on the giant monopole resonance: An Update

Cited by in corpus (6)

• Spectroscopic properties of 4He within a multiphonon approach
• An implementation of nuclear time-dependent density-functional theory and its application to the nuclear isovector electric dipole resonance
• Nuclear multipole responses from chiral effective field theory interaction
• Ab initio calculations of monopole sum rules: From finite nuclei to infinite nuclear matter
• Effect of a realistic three-body force on the spectra of medium-mass hypernuclei
• Bulk and spectroscopic nuclear properties within an ab initio renormalized random-phase approximation framework