Effective field theory for deformed odd-mass nuclei

Abstract

We develop an effective field theory (EFT) for deformed odd-mass nuclei. These are described as an axially symmetric core to which a nucleon is coupled. In the coordinate system fixed to the core the nucleon is subject to an axially symmetric potential. Power counting is based on the separation of scales between low-lying rotations and higher-lying states of the core. In leading order, core and nucleon are coupled by universal derivative terms. These comprise a covariant derivative and gauge potentials which account for Coriolis forces and relate to Berry-phase phenomena. At leading order, the EFT combines the particle-rotor and Nilsson models. We work out the EFT up to next-to-leading order and illustrate the results in ${}^{239}$Pu and ${}^{187}$Os. At leading order, odd-mass nuclei with rotational band heads that are close in energy and differ by one unit of angular momentum are triaxially deformed. For band heads that are well separated in energy, triaxiality becomes a subleading effect. The EFT developed in this paper presents a model-independent approach to the particle-rotor system that is capable of systematic improvement.

24 pages, 6 figures; discussion amplified in several places and one figure added; accepted for publication in Physical Review C

References in corpus (8)

• Using effective field theory to analyse low-energy Compton scattering data from protons and light nuclei
• Bayesian Methods for Parameter Estimation in Effective Field Theories
• Operator Evolution via the Similarity Renormalization Group I: The Deuteron
• Effective theory for deformed nuclei
• Rotor Spectra, Berry Phases, and Monopole Fields: from Antiferromagnets to QCD
• 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

Cited by in corpus (10)

• A Guided Tour of Ab Initio Nuclear Many-Body Theory
• Angular-momentum projection in coupled-cluster theory: structure of ${}^{34}$Mg
• Ab initio computations of strongly deformed nuclei around ${}^{80}$Zr
• Neutrinoless double-beta decay from an effective field theory for heavy nuclei
• Manifestation of the Berry phase in the atomic nucleus ${}^{213}$Pb
• An effective field theory approach to fermionic rotational bands in nuclei
• Effective field theory of pairing rotations
• Structure of odd-mass Ne, Na, and Mg nuclei
• Effective field theories for collective excitations of atomic nuclei
• Halo EFT for ${}^{31}$Ne in a spherical formalism