Effective field theory for collective rotations and vibrations of triaxially deformed nuclei

Abstract

The effective field theory (EFT) for triaxially deformed even-even nuclei is generalized to include the vibrational degrees of freedom. The pertinent Hamiltonian is constructed up to next-to-leading order. The leading order part describes the vibrational motion, and the NLO part couples rotations to vibrations. The applicability of the EFT Hamiltonian is examined through the description of the energy spectra of the ground state bands, $\gamma$-bands, and $K=4$ bands in the ${}^{108,110,112}$Ru isotopes. It is found that by taking into account the vibrational degrees of freedom, the deviations for high-spin states in the $\gamma$-band observed in the EFT with only rotational degrees of freedom disappear. This supports the importance of including vibrational degrees of freedom in the EFT formulation for the collective motion of triaxially deformed nuclei.

23 pages, 3 figures, 1 table

References in corpus (8)

• Chiral effective field theory and nuclear forces
• New parametrization for the nuclear covariant energy density functional with point-coupling interaction
• Three-body forces: From cold atoms to nuclei
• Using effective field theory to analyse low-energy Compton scattering data from protons and light nuclei
• Effective theory for deformed nuclei
• Effective field theory for triaxially deformed nuclei
• Effective field theory for vibrations in odd-mass nuclei
• Rotational constants of multi-phonon bands in an effective theory for deformed nuclei

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• Effective field theories for collective excitations of atomic nuclei