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 modelindependent 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 gaugeinvariant 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 groundstate 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, nexttoleadingorder calculations and the highprecision 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 0 _{2} ^{+} band (the “β band”) to the groundstate band. Here the predictions from the effective theory are consistent with data for several nuclei, thereby proposing a solution to a longstanding challenge.
 Authors:

 Univ. of Tennessee, Knoxville, TN (United States). Department of Physics and Astronomy
 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) (SC26)
 OSTI Identifier:
 1302916
 Alternate Identifier(s):
 OSTI ID: 1203805
 Grant/Contract Number:
 AC0500OR22725; FG0296ER40963; DEFG0296ER40963
 Resource Type:
 Journal Article: Accepted Manuscript
 Journal Name:
 Physical Review C
 Additional Journal Information:
 Journal Volume: 92; Journal Issue: 1; Journal ID: ISSN 24699985
 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. doi: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. doi: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. doi: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 modelindependent 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 gaugeinvariant 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 groundstate 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, nexttoleadingorder calculations and the highprecision 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 groundstate band. Here the predictions from the effective theory are consistent with data for several nuclei, thereby proposing a solution to a longstanding challenge.},
doi = {10.1103/PhysRevC.92.014323},
journal = {Physical Review C},
issn = {24699985},
number = 1,
volume = 92,
place = {United States},
year = {2015},
month = {7}
}
Web of Science