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.

References in corpus (8)

• Chiral effective field theory and nuclear forces
• Exotic modes of excitation in atomic nuclei far from stability
• Three-body forces: From cold atoms to nuclei
• alpha-alpha Scattering in Halo Effective Field Theory
• Measured g factors and the tidal-wave description of transitional nuclei near A = 100
• An extensive survey of the estimation of uncertainties from missing higher orders in perturbative calculations
• Effective theory for deformed nuclei
• Rotational constants of multi-phonon bands in an effective theory for deformed nuclei

Cited by in corpus (2)

• Early signal of emerging nuclear collectivity in neutron-rich ${}^{129}$Sb
• Effective field theory for triaxially deformed nuclei