Effective field theory for vibrations in odd-mass nuclei

Abstract

Heavy even-even nuclei exhibit low-energy collective excitations that are separated in scale from the microscopic (fermion) degrees of freedom. This separation of scale allows us to approach nuclear vibrations within an effective field theory (EFT). In odd-mass nuclei collective and single-particle properties compete at low energies, and this makes their description more challenging. In this article we describe odd-mass nuclei with ground-state spin $I=\sfrac{1}{2}$ by means of an EFT that couples a fermion to the collective degrees of freedom of an even-even core. The EFT relates observables such as energy levels, electric quadrupole ($E2$) transition strengths, and magnetic dipole ($M1$) moments of the odd-mass nucleus to those of its even-even neighbor, and allows us to quantify theoretical uncertainties. For isotopes of rhodium and silver the theoretical description is consistent with data within experimental and theoretical uncertainties. Several testable predictions are made.

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Cited by in corpus (13)

• Nuclear effective field theory: status and perspectives
• A Guided Tour of Ab Initio Nuclear Many-Body Theory
• Probabilistic definition of the perturbative theoretical uncertainty from missing higher orders
• Two-neutrino double electron capture on ${}^{124}$Xe based on an effective theory and the nuclear shell model
• Early signal of emerging nuclear collectivity in neutron-rich ${}^{129}$Sb
• 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
• 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 deformed odd-mass nuclei
• Emerging nuclear collectivity in ${}^{124-130}$Te
• Effective field theory for collective rotations and vibrations of triaxially deformed nuclei
• Effective field theories for collective excitations of atomic nuclei