An effective field theory approach to fermionic rotational bands in nuclei

Abstract

We extend an effective field theory developed to describe rotational bands in even-even nuclei to the odd-mass case. This organizes Bohr and Mottelson's treatment of a particle coupled to a rotor as a model-independent expansion in powers of the angular velocity of the overall system. We carry out this expansion up to fourth order in the angular velocity and present results for ${}^{99}$Tc, ${}^{159}$Dy, ${}^{167,169}$Er, ${}^{167,169}$Tm, ${}^{183}$W, ${}^{235}$U and ${}^{239}$Pu. In each case, the accuracy and breakdown scale of the effective field theory can be understood based on the single-particle and vibrational energy scales in that nucleus.

arXiv comment20 pages, 14 figures

References in corpus (19)

• Structure of the lightest tin isotopes
• Ab initio limits of atomic nuclei
• Effective field theory description of halo nuclei
• Bayesian parameter estimation for effective field theories
• Exploring Bayesian parameter estimation for chiral effective field theory using nucleon-nucleon phase shifts
• Optical potential from first principles
• Pairing and rotational properties of actinides and superheavy nuclei in covariant density functional theory
• Bayesian Methods for Parameter Estimation in Effective Field Theories
• Open $sd$-shell nuclei from first principles
• Emergence of rotational bands in ab initio no-core configuration interaction calculations of the Be isotopes
• Emergence of rotational bands in ab initio no-core configuration interaction calculations of light nuclei
• Effective theory for deformed nuclei
• Emergent Sp(3,R) dynamical symmetry in the nuclear many-body system from an ab initio description
• Rotational excitations in rare-earth nuclei: a comparative study within three cranking models with different mean fields and the treatments of pairing correlations
• Backbending in Dy isotopes within the Projected Shell Model
• Probing ab initio emergence of nuclear rotation
• Shape Deformations in Atomic Nuclei
• Effective theory for the non-rigid rotor in an electromagnetic field: Toward accurate and precise calculations of E2 transitions in deformed nuclei
• Effective field theory for deformed odd-mass nuclei

Cited by in corpus (3)

• Angular-momentum projection in coupled-cluster theory: structure of ${}^{34}$Mg
• What is ab initio in nuclear theory?
• Halo EFT for ${}^{31}$Ne in a spherical formalism