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Title: Effective theory for the nonrigid rotor in an electromagnetic field: Toward accurate and precise calculations of E2 transitions in deformed nuclei

Abstract

In this paper, we present a model-independent approach to electric quadrupole transitions of deformed nuclei. Based on an effective theory for axially symmetric systems, the leading interactions with electromagnetic fields enter as minimal couplings to gauge potentials, while subleading corrections employ gauge-invariant nonminimal couplings. This approach yields transition operators that are consistent with the Hamiltonian, and the power counting of the effective theory provides us with theoretical uncertainty estimates. We successfully test the effective theory in homonuclear molecules that exhibit a large separation of scales. For ground-state band transitions of rotational nuclei, the effective theory describes data well within theoretical uncertainties at leading order. To probe the theory at subleading order, data with higher precision would be valuable. For transitional nuclei, next-to-leading-order calculations and the high-precision data are consistent within the theoretical uncertainty estimates. In addition, we study the faint interband transitions within the effective theory and focus on the E2 transitions from the 02+ band (the “β band”) to the ground-state band. Here the predictions from the effective theory are consistent with data for several nuclei, thereby proposing a solution to a long-standing challenge.

Authors:
 [1];  [2]
  1. Univ. of Tennessee, Knoxville, TN (United States). Department of Physics and Astronomy
  2. Univ. of Tennessee, Knoxville, TN (United States). Department of Physics and Astronomy; Oak Ridge National Lab. (ORNL), Oak Ridge, TN (United States). Physics Division
Publication Date:
Research Org.:
Oak Ridge National Lab. (ORNL), Oak Ridge, TN (United States)
Sponsoring Org.:
USDOE Office of Science (SC), Nuclear Physics (NP)
OSTI Identifier:
1302916
Alternate Identifier(s):
OSTI ID: 1203805
Grant/Contract Number:  
AC05-00OR22725; FG02-96ER40963; DEFG02-96ER40963
Resource Type:
Accepted Manuscript
Journal Name:
Physical Review C
Additional Journal Information:
Journal Volume: 92; Journal Issue: 1; Journal ID: ISSN 2469-9985
Publisher:
APS
Country of Publication:
United States
Language:
English
Subject:
73 NUCLEAR PHYSICS AND RADIATION PHYSICS

Citation Formats

Coello Pérez, Eduardo A., and Papenbrock, Thomas F.. Effective theory for the nonrigid rotor in an electromagnetic field: Toward accurate and precise calculations of E2 transitions in deformed nuclei. United States: N. p., 2015. Web. https://doi.org/10.1103/PhysRevC.92.014323.
Coello Pérez, Eduardo A., & Papenbrock, Thomas F.. Effective theory for the nonrigid rotor in an electromagnetic field: Toward accurate and precise calculations of E2 transitions in deformed nuclei. United States. https://doi.org/10.1103/PhysRevC.92.014323
Coello Pérez, Eduardo A., and Papenbrock, Thomas F.. Mon . "Effective theory for the nonrigid rotor in an electromagnetic field: Toward accurate and precise calculations of E2 transitions in deformed nuclei". United States. https://doi.org/10.1103/PhysRevC.92.014323. https://www.osti.gov/servlets/purl/1302916.
@article{osti_1302916,
title = {Effective theory for the nonrigid rotor in an electromagnetic field: Toward accurate and precise calculations of E2 transitions in deformed nuclei},
author = {Coello Pérez, Eduardo A. and Papenbrock, Thomas F.},
abstractNote = {In this paper, we present a model-independent approach to electric quadrupole transitions of deformed nuclei. Based on an effective theory for axially symmetric systems, the leading interactions with electromagnetic fields enter as minimal couplings to gauge potentials, while subleading corrections employ gauge-invariant nonminimal couplings. This approach yields transition operators that are consistent with the Hamiltonian, and the power counting of the effective theory provides us with theoretical uncertainty estimates. We successfully test the effective theory in homonuclear molecules that exhibit a large separation of scales. For ground-state band transitions of rotational nuclei, the effective theory describes data well within theoretical uncertainties at leading order. To probe the theory at subleading order, data with higher precision would be valuable. For transitional nuclei, next-to-leading-order calculations and the high-precision data are consistent within the theoretical uncertainty estimates. In addition, we study the faint interband transitions within the effective theory and focus on the E2 transitions from the 02+ band (the “β band”) to the ground-state band. Here the predictions from the effective theory are consistent with data for several nuclei, thereby proposing a solution to a long-standing challenge.},
doi = {10.1103/PhysRevC.92.014323},
journal = {Physical Review C},
number = 1,
volume = 92,
place = {United States},
year = {2015},
month = {7}
}

Journal Article:

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Cited by: 8 works
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    Works referencing / citing this record:

    Ground and excited states of doubly open-shell nuclei from ab initio valence-space Hamiltonians
    journal, May 2016


    Effective field theory for vibrations in odd-mass nuclei
    journal, November 2016