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.

20 pages, 14 figures

References in corpus (5)

• Optical potential from first principles
• Bayesian Methods for Parameter Estimation in Effective Field Theories
• Emergence of rotational bands in ab initio no-core configuration interaction calculations of the Be isotopes
• Effective theory for deformed nuclei
• Emergent Sp(3,R) dynamical symmetry in the nuclear many-body system from an ab initio description

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