Independent normalization for γ-ray strength functions: The shape method

Wiedeking, M.; Guttormsen, M.; Larsen, A. C.; Zeiser, F.; Görgen, A.; Liddick, S. N.; Mücher, D.; Siem, S.; Spyrou, A.

doi:10.1103/physrevc.104.014311

Title: Independent normalization for γ-ray strength functions: The shape method

Abstract

Here, the shape method, a novel approach to obtain the functional form of the γ-ray strength function (γSF), is introduced. In connection with the Oslo method the slope of the nuclear level density (NLD) and γSF can be obtained simultaneously even in the absence of neutron resonance spacing data. The foundation of the shape method lies in the primary γ-ray transitions which preserve information on the functional form of the γSF. The shape method has been applied to ⁵⁶Fe, ⁹²Zr, and ¹⁶⁴Dy, which are representative cases for the variety of situations encountered in typical NLD and γSF studies. The comparisons of results from the shape method to those from the Oslo method demonstrate that the functional form of the γSF is retained regardless of nuclear structure details or J^π values of the states fed by the primary transitions.

Authors:

^[1]; Guttormsen, M. ^[2]; Larsen, A. C. ^[2]; Zeiser, F. ^[2];

^[2]; Liddick, S. N. ^[3]; Mücher, D. ^[4]; Siem, S. ^[2]; Spyrou, A. ^[3]

iThemba LABS, Somerset West (South Africa); Univ. of Witwatersrand, Johannesburg (South Africa)
Univ. of Oslo (Norway)
Michigan State Univ., East Lansing, MI (United States)
Univ. of Guelph, ON (Canada); TRIUMF, Vancouver, BC (Canada)

Publication Date:: Mon Jul 12 00:00:00 EDT 2021

Research Org.:: Univ. of California, Oakland, CA (United States); Michigan State Univ., East Lansing, MI (United States)

Sponsoring Org.:: USDOE National Nuclear Security Administration (NNSA); National Research Foundation of South Africa; Research Council of Norway; National Science foundation (NSF); European Research Council (ERC); European Cooperation in Science and Technology (COST)

OSTI Identifier:: 1850356

Grant/Contract Number:: NA0003180; NA0003906; SC0020451; 118846; 263030; PHY-1913554; 637686; PHY-1430152

Resource Type:: Accepted Manuscript

Journal Name:: Physical Review. C

Additional Journal Information:: Journal Volume: 104; Journal Issue: 1; Journal ID: ISSN 2469-9985

Publisher:: American Physical Society (APS)

Country of Publication:: United States

Language:: English

Subject:: 73 NUCLEAR PHYSICS AND RADIATION PHYSICS; electromagnetic transitions; nuclear structure; decays; energy levels; energy densities

Citation Formats


                    Wiedeking, M., Guttormsen, M., Larsen, A. C., Zeiser, F., Görgen, A., Liddick, S. N., Mücher, D., Siem, S., and Spyrou, A. Independent normalization for γ-ray strength functions: The shape method.  United States: N. p., 2021. 
Web.  doi:10.1103/physrevc.104.014311.

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                    Wiedeking, M., Guttormsen, M., Larsen, A. C., Zeiser, F., Görgen, A., Liddick, S. N., Mücher, D., Siem, S., & Spyrou, A. Independent normalization for γ-ray strength functions: The shape method.  United States.  https://doi.org/10.1103/physrevc.104.014311

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                    Wiedeking, M., Guttormsen, M., Larsen, A. C., Zeiser, F., Görgen, A., Liddick, S. N., Mücher, D., Siem, S., and Spyrou, A. Mon .  
"Independent normalization for γ-ray strength functions: The shape method".  United States.  https://doi.org/10.1103/physrevc.104.014311.  https://www.osti.gov/servlets/purl/1850356.

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@article{osti_1850356,

  title        = {Independent normalization for γ-ray strength functions: The shape method},

  author       = {Wiedeking, M. and Guttormsen, M. and Larsen, A. C. and Zeiser, F. and Görgen, A. and Liddick, S. N. and Mücher, D. and Siem, S. and Spyrou, A.},

  abstractNote = {Here, the shape method, a novel approach to obtain the functional form of the γ-ray strength function (γSF), is introduced. In connection with the Oslo method the slope of the nuclear level density (NLD) and γSF can be obtained simultaneously even in the absence of neutron resonance spacing data. The foundation of the shape method lies in the primary γ-ray transitions which preserve information on the functional form of the γSF. The shape method has been applied to 56Fe, 92Zr, and 164Dy, which are representative cases for the variety of situations encountered in typical NLD and γSF studies. The comparisons of results from the shape method to those from the Oslo method demonstrate that the functional form of the γSF is retained regardless of nuclear structure details or Jπ values of the states fed by the primary transitions.},

  doi          = {10.1103/physrevc.104.014311},

  journal      = {Physical Review. C},

  number       = 1,

  volume       = 104,

  place        = {United States},

  year         = {Mon Jul 12 00:00:00 EDT 2021},

  month        = {Mon Jul 12 00:00:00 EDT 2021}

}

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Title: Independent normalization for γ-ray strength functions: The shape method

Abstract

Citation Formats

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Nuclear level densities and γ -ray strength functions of Ta 180 , 181 , 182 journal, May 2019

Gamma-ray strength functions for A = 70–90 nuclei journal, July 1979

Average-Resonance Method of Neutron-Capture γ -Ray Spectroscopy: States of Pd 106 , Gd 156 , Gd 158 , Ho 166 , and Er 168 journal, November 1970

Thermodynamic properties of Fe 56 , 57 journal, November 2008

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Fluctuations of Nuclear Reaction Widths journal, October 1956

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Evidence for M 1 Scissors Resonances Built on the Levels in the Quasicontinuum of Dy 163 journal, April 2004

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First application of the Oslo method in inverse kinematics
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The unfolding of continuum γ-ray spectra
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Test of gamma-ray strength functions in nuclear reaction model calculations
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Verification of detailed balance for $γ$ absorption and emission in Dy isotopes
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Novel technique for Constraining $r$ -Process ( $n$ , $γ$ ) Reaction Rates
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Galactic production of 138 La: Impact of 138,139 La statistical properties
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Evidence for the Dipole Nature of the Low-Energy $γ$ Enhancement in ${}^{56}{Fe}$
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Investigation of the γ-ray strength function in51V by means of the average resonance method
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Individual particle and collective aspects of the nuclear photoeffect
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$E 1$ and $M 1$ strength functions from average resonance capture data
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Extraction of level density and γ strength function from primary γ spectra
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Characterization of large volume 3.5″×8″ LaBr3:Ce detectors
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Improved microscopic nuclear level densities within the Hartree-Fock-Bogoliubov plus combinatorial method
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A statistical analysis of excited nuclear states
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Distribution of radiative strength from neutron capture by 239Pu
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Systematics of nuclear level density parameters
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The concept of nuclear photon strength functions: A model-independent approach via ( $\vec{γ}, γ^{'} γ^{″}$ ) reactions
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The statistical model and nuclear level densities
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Analysis of possible systematic errors in the Oslo method
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Test of the generalized Brink-Axel hypothesis in ${}^{64, 65}{Ni}$
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Evidence for $M 1$ Scissors Resonances Built on the Levels in the Quasicontinuum of ${}^{163}{Dy}$
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Experimental Neutron Capture Rate Constraint Far from Stability
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Primary $γ$ -ray intensities and $γ$ -strength functions from discrete two-step $γ$ -ray cascades in radiative proton-capture experiments
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The r-process of stellar nucleosynthesis: Astrophysics and nuclear physics achievements and mysteries
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Reference database for photon strength functions
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Benchmarking the extraction of statistical neutron capture cross sections on short-lived nuclei for applications using the $β$ -Oslo method
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Radiative strength functions in ${}^{163, 164}{Dy}$
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Unifying Concepts in the Theories of Elasticity, Plasticity, and Dislocations
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Level density and thermodynamic properties of dysprosium isotopes
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Statistical structure and $γ$-decay properties of closed shell Pb nuclei
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