Effective field theory for deformed odd-mass nuclei

Papenbrock, Thomas F.; Weidenmüller, H. A.

doi:10.1103/physrevc.102.044324

Effective field theory for deformed odd-mass nuclei

Journal Article · Mon Oct 26 00:00:00 EDT 2020 · Physical Review. C

DOI:https://doi.org/10.1103/physrevc.102.044324· OSTI ID:1686121

^[1]; Weidenmüller, H. A. ^[2]

Univ. of Tennessee, Knoxville, TN (United States); Oak Ridge National Lab. (ORNL), Oak Ridge, TN (United States); The University of Tennessee, Knoxville
Max-Planck-Inst. für Kernphysik, Heidelberg (Germany)

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. Here, we work out the EFT up to next-to-leading order and illustrate the results in ²³⁹Pu and ¹⁸⁷Os . At leading order, odd-mass nuclei with rotational bandheads that are close in energy and differ by one unit of angular momentum are triaxially deformed. For bandheads 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.

View Accepted Manuscript (DOE)

Research Organization:: Oak Ridge National Laboratory (ORNL), Oak Ridge, TN (United States); Univ. of Tennessee, Knoxville, TN (United States)

Sponsoring Organization:: USDOE; USDOE Office of Science (SC), Nuclear Physics (NP)

Grant/Contract Number:: AC05-00OR22725; FG02-96ER40963

OSTI ID:: 1686121

Alternate ID(s):: OSTI ID: 1824997
OSTI ID: 1847551

Journal Information:: Physical Review. C, Journal Name: Physical Review. C Journal Issue: 4 Vol. 102; ISSN 2469-9985

Publisher:: American Physical Society (APS)Copyright Statement

Country of Publication:: United States

Language:: English

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