Effective field theory for nuclear vibrations with quantified uncertainties

Abstract

We develop an effective field theory (EFT) for nuclear vibrations. The key ingredients - quadrupole degrees of freedom, rotational invariance, and a breakdown scale around the three-phonon level - are taken from data. The EFT is developed for spectra and electromagnetic moments and transitions. We employ tools from Bayesian statistics for the quantification of theoretical uncertainties. The EFT consistently describes spectra and electromagnetic transitions for ${}^{62}$Ni, ${}^{98,100}$Ru, ${}^{106,108}$Pd, ${}^{110,112,114}$Cd, and ${}^{118,120,122}$Te within the theoretical uncertainties. This suggests that these nuclei can be viewed as anharmonic vibrators.

20 pages

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• An extensive survey of the estimation of uncertainties from missing higher orders in perturbative calculations
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Cited by in corpus (37)

• Nuclear effective field theory: status and perspectives
• A Guided Tour of Ab Initio Nuclear Many-Body Theory
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• Bayesian parameter estimation for effective field theories
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• Angular-momentum projection in coupled-cluster theory: structure of ${}^{34}$Mg
• Emergent properties of nuclei from ab initio coupled-cluster calculations
• What is ab initio in nuclear theory?
• Nuclear masses learned from a probabilistic neural network
• Probabilistic definition of the perturbative theoretical uncertainty from missing higher orders
• Quadrupole Phonons in the Cadmium Isotopes
• Constraining Transfer Cross Sections Using Bayes' Theorem
• Uncertainty Quantification for Optical Model Parameters
• The anomalous quadrupole collectivity in Te isotopes
• Challenges in Nuclear Structure Theory
• Two-neutrino double electron capture on ${}^{124}$Xe based on an effective theory and the nuclear shell model
• Exploring experimental conditions to reduce uncertainties in the optical potential
• Anharmonicity of multi-octupole-phonon excitations in ${}^{208}$Pb: analysis with multi-reference covariant density functional theory and subbarrier fusion of ${}^{16}$O+${}^{208}$Pb
• Gamow-Teller and double-beta decays of heavy nuclei within an effective theory
• Neutrinoless double-beta decay from an effective field theory for heavy nuclei
• Low-energy bound states, resonances, and scattering of light ions
• Nuclear Structure at the Crossroads
• Spectroscopy and excited-state $g$~factors in weakly collective ${}^{111}$Cd: confronting collective and microscopic models
• Effective field theory for triaxially deformed nuclei
• Effective field theory for vibrations in odd-mass nuclei
• Effective field theory for deformed odd-mass nuclei
• Bayesian truncation errors in equations of state of nuclear matter with chiral nucleon-nucleon potentials
• Investigating multi-channel quantum tunneling in heavy-ion fusion reactions with Bayesian spectral deconvolution
• E2 Rotational Invariants of $0_1^{+}$ and $2_1^{+}$ states for ${}^{106}$Cd: the Emergence of Collective Rotation
• Two-neutrino $\beta \beta$ decay of ${}^{136}$Xe to the first excited $0^{+}$ state in ${}^{136}$Ba
• Shape transition and coexistence in Te isotopes studied with the quadrupole collective Hamiltonian based on a relativistic energy density functional
• Two-photon exchange in (muonic) deuterium at N3LO in pionless effective field theory
• Effective field theory for collective rotations and vibrations of triaxially deformed nuclei
• Posterior predictive distributions of neutron-deuteron cross sections
• Effective field theories for collective excitations of atomic nuclei
• Effects of shape coexistence and configuration mixing on low-lying states in tellurium isotopes
• A reassessment of nuclear effects in muonic deuterium using pionless effective field theory at N3LO