Revisiting Grodzins systematics of B(E2) values

Pritychenko, B.; Birch, M.; Singh, B.

doi:10.1016/j.nuclphysa.2017.03.011

Title: Revisiting Grodzins systematics of B(E2) values

Abstract

Using Grodzins formalism, we analyze systematics of our latest evaluated B(E2) data for all the even–even nuclei in Z=2–104. The analysis indicates a low predictive power of systematics for a large number of cases, and a strong correlation between B(E2) fit values and nuclear structure effects. These findings provide a strong rationale for introduction of individual or elemental (grouped by Z) fit parameters. The current estimates of quadrupole collectivities for systematics of even–even nuclei yield complementary values for comparison with experimental results and theoretical calculations. Furthermore, the lists of fit parameters and predicted B(E2) values are given and possible implications are discussed.

Authors:

^[1]; Birch, M. ^[2]; Singh, B. ^[2]

Brookhaven National Lab. (BNL), Upton, NY (United States)
McMaster Univ., Hamilton, ON (Canada)

Publication Date:: Mon Apr 03 00:00:00 EDT 2017

Research Org.:: Brookhaven National Laboratory (BNL), Upton, NY (United States)

Sponsoring Org.:: USDOE Office of Science (SC), Nuclear Physics (NP)

OSTI Identifier:: 1354631

Alternate Identifier(s):: OSTI ID: 1397930

Report Number(s):: BNL-113774-2017-JA
Journal ID: ISSN 0375-9474; TRN: US1702495

Grant/Contract Number:: SC00112704; AC02-98CH10886

Resource Type:: Accepted Manuscript

Journal Name:: Nuclear Physics. A

Additional Journal Information:: Journal Volume: 962; Journal Issue: C; Journal ID: ISSN 0375-9474

Publisher:: Elsevier

Country of Publication:: United States

Language:: English

Subject:: 73 NUCLEAR PHYSICS AND RADIATION PHYSICS; reduced transition probabilities; nuclear data analysis; systematics

Citation Formats


                    Pritychenko, B., Birch, M., and Singh, B. Revisiting Grodzins systematics of B(E2) values.  United States: N. p., 2017. 
Web.  doi:10.1016/j.nuclphysa.2017.03.011.

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                    Pritychenko, B., Birch, M., & Singh, B. Revisiting Grodzins systematics of B(E2) values.  United States.  https://doi.org/10.1016/j.nuclphysa.2017.03.011

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                    Pritychenko, B., Birch, M., and Singh, B. Mon .  
"Revisiting Grodzins systematics of B(E2) values".  United States.  https://doi.org/10.1016/j.nuclphysa.2017.03.011.  https://www.osti.gov/servlets/purl/1354631.

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@article{osti_1354631,

  title        = {Revisiting Grodzins systematics of B(E2) values},

  author       = {Pritychenko, B. and Birch, M. and Singh, B.},

  abstractNote = {Using Grodzins formalism, we analyze systematics of our latest evaluated B(E2) data for all the even–even nuclei in Z=2–104. The analysis indicates a low predictive power of systematics for a large number of cases, and a strong correlation between B(E2) fit values and nuclear structure effects. These findings provide a strong rationale for introduction of individual or elemental (grouped by Z) fit parameters. The current estimates of quadrupole collectivities for systematics of even–even nuclei yield complementary values for comparison with experimental results and theoretical calculations. Furthermore, the lists of fit parameters and predicted B(E2) values are given and possible implications are discussed.},

  doi          = {10.1016/j.nuclphysa.2017.03.011},

  journal      = {Nuclear Physics. A},

  number       = C,

  volume       = 962,

  place        = {United States},

  year         = {Mon Apr 03 00:00:00 EDT 2017},

  month        = {Mon Apr 03 00:00:00 EDT 2017}

}

Copy to clipboard

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Works referenced in this record:

Tables of E2 transition probabilities from the first $2^{+}$ states in even–even nuclei
journal, January 2016

Pritychenko, B.; Birch, M.; Singh, B.
Atomic Data and Nuclear Data Tables, Vol. 107
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Birch, M.; Pritychenko, B.; Singh, B.
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Raman, S.; Malarkey, C. H.; Milner, W. T.
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Nuclear transition probability, B(E2), for 0g.s.+ – 2first+ transitions and deformation parameter, β2
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Stelson, P. H.; Grodzins, L.
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Lifetime measurements in ${}^{100}{Ru}$
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Konstantinopoulos, T.; Petkov, P.; Goasduff, A.
Physical Review C, Vol. 95, Issue 1
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Nuclear Instruments and Methods in Physics Research Section A: Accelerators, Spectrometers, Detectors and Associated Equipment, Vol. 363, Issue 3
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The uniform behaviour of electric quadrupole transition probabilities from first 2+ states in even-even nuclei
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Grodzins, L.
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Structure of even-even nuclei using a mapped collective Hamiltonian and the D1S Gogny interaction
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Delaroche, J. -P.; Girod, M.; Libert, J.
Physical Review C, Vol. 81, Issue 1
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Erratum to “Tables of E2 transition probabilities from the first $2^{+}$ states in even–even nuclei” [At. Data Nucl. Data Tables 107 (2016) 1–139]
journal, March 2017

Pritychenko, B.; Birch, M.; Singh, B.
Atomic Data and Nuclear Data Tables, Vol. 114
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Coulomb Excitation of Medium-Weight Nuclei
journal, November 1956

Temmer, G. M.; Heydenburg, N. P.
Physical Review, Vol. 104, Issue 4
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Retardation of B(E2; 01+ → 21+) rates in 90–96Sr and strong subshell closure effects in the A ~ 100 region
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Mach, H.; Wohn, F. K.; Molnár, G.
Nuclear Physics A, Vol. 523, Issue 2
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Nonlinear Least-Squares Curve Fitting with Microsoft Excel Solver
journal, January 1998

Harris, Daniel C.
Journal of Chemical Education, Vol. 75, Issue 1
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$γ$ -ray spectroscopy of low-lying excited states and shape competition in ${}^{194}{Os}$
journal, February 2017

Daniel, T.; Kisyov, S.; Regan, P. H.
Physical Review C, Vol. 95, Issue 2
DOI: 10.1103/PhysRevC.95.024328

Transition Probability from the Ground to the First-Excited 2+ State of Even–Even Nuclides
journal, May 2001

Raman, S.; Nestor, C. W.; Tikkanen, P.
Atomic Data and Nuclear Data Tables, Vol. 78, Issue 1
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Electromagnetic Moments of Radioactive ${}^{136}{Te}$ and the Emergence of Collectivity $2 p \oplus 2 n$ Outside of Double-Magic ${}^{132}{Sn}$
journal, March 2017

Allmond, J. M.; Stuchbery, A. E.; Baktash, C.
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Systematics of B(E2; $0_{1}^{+}$ → $2_{1}^{+}$ ) values for even-even nuclei
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Works referencing / citing this record:

Evolution of Octupole Deformation in Radium Nuclei from Coulomb Excitation of Radioactive ${}^{222}{Ra}$ and ${}^{228}{Ra}$ Beams
journal, January 2020

Butler, P. A.; Gaffney, L. P.; Spagnoletti, P.
Physical Review Letters, Vol. 124, Issue 4
DOI: 10.1103/physrevlett.124.042503

New perspective of Grodzins E × B(E2) ↑ product rule
journal, April 2018

Gupta, J. B.; Katoch, Vikas
International Journal of Modern Physics E, Vol. 27, Issue 04
DOI: 10.1142/s0218301318500337

Generalized grodzins relation for ground band
journal, July 2019

Gupta, J. B.; Katoch, Vikas
International Journal of Modern Physics E, Vol. 28, Issue 07
DOI: 10.1142/s0218301319500551

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Similar Records

Title: Revisiting Grodzins systematics of B(E2) values

Abstract

Citation Formats

Tables of E2 transition probabilities from the first 2 + states in even–even nuclei journal, January 2016

Deformation of 126Ce journal, May 1988

On the equivalence of experimental B(E2) values determined by various techniques journal, November 2016

Transition probability, B(E2)↑, from the ground to the first-excited 2+ state of even-even nuclides journal, January 1987

Nuclear transition probability, B(E2), for 0g.s.+ – 2first+ transitions and deformation parameter, β2 journal, December 1965

Lifetime measurements in Ru 100 journal, January 2017

A graphical analysis of decay curves measured by the Doppler-shift recoil distance method journal, September 1995

The uniform behaviour of electric quadrupole transition probabilities from first 2+ states in even-even nuclei journal, August 1962

Structure of even-even nuclei using a mapped collective Hamiltonian and the D1S Gogny interaction journal, January 2010

Erratum to “Tables of E2 transition probabilities from the first 2 + states in even–even nuclei” [At. Data Nucl. Data Tables 107 (2016) 1–139] journal, March 2017

Coulomb Excitation of Medium-Weight Nuclei journal, November 1956

Retardation of B(E2; 01+ → 21+) rates in 90–96Sr and strong subshell closure effects in the A ~ 100 region journal, February 1991

Nonlinear Least-Squares Curve Fitting with Microsoft Excel Solver journal, January 1998

γ -ray spectroscopy of low-lying excited states and shape competition in Os 194 journal, February 2017

Transition Probability from the Ground to the First-Excited 2+ State of Even–Even Nuclides journal, May 2001

Electromagnetic Moments of Radioactive Te 136 and the Emergence of Collectivity 2 p ⊕ 2 n Outside of Double-Magic Sn 132 journal, March 2017

Systematics of B(E2; 0 1 + → 2 1 + ) values for even-even nuclei journal, February 1988

Evolution of Octupole Deformation in Radium Nuclei from Coulomb Excitation of Radioactive Ra 222 and Ra 228 Beams journal, January 2020

New perspective of Grodzins E × B(E2) ↑ product rule journal, April 2018

Generalized grodzins relation for ground band journal, July 2019

Tables of E2 transition probabilities from the first $2^{+}$ states in even–even nuclei
journal, January 2016

Deformation of 126Ce
journal, May 1988

On the equivalence of experimental B(E2) values determined by various techniques
journal, November 2016

Transition probability, B(E2)↑, from the ground to the first-excited 2+ state of even-even nuclides
journal, January 1987

Nuclear transition probability, B(E2), for 0g.s.+ – 2first+ transitions and deformation parameter, β2
journal, December 1965

Lifetime measurements in ${}^{100}{Ru}$
journal, January 2017

A graphical analysis of decay curves measured by the Doppler-shift recoil distance method
journal, September 1995

The uniform behaviour of electric quadrupole transition probabilities from first 2+ states in even-even nuclei
journal, August 1962

Structure of even-even nuclei using a mapped collective Hamiltonian and the D1S Gogny interaction
journal, January 2010

Erratum to “Tables of E2 transition probabilities from the first $2^{+}$ states in even–even nuclei” [At. Data Nucl. Data Tables 107 (2016) 1–139]
journal, March 2017

Coulomb Excitation of Medium-Weight Nuclei
journal, November 1956

Retardation of B(E2; 01+ → 21+) rates in 90–96Sr and strong subshell closure effects in the A ~ 100 region
journal, February 1991

Nonlinear Least-Squares Curve Fitting with Microsoft Excel Solver
journal, January 1998

$γ$ -ray spectroscopy of low-lying excited states and shape competition in ${}^{194}{Os}$
journal, February 2017

Transition Probability from the Ground to the First-Excited 2+ State of Even–Even Nuclides
journal, May 2001

Electromagnetic Moments of Radioactive ${}^{136}{Te}$ and the Emergence of Collectivity $2 p \oplus 2 n$ Outside of Double-Magic ${}^{132}{Sn}$
journal, March 2017

Systematics of B(E2; $0_{1}^{+}$ → $2_{1}^{+}$ ) values for even-even nuclei
journal, February 1988

Evolution of Octupole Deformation in Radium Nuclei from Coulomb Excitation of Radioactive ${}^{222}{Ra}$ and ${}^{228}{Ra}$ Beams
journal, January 2020

New perspective of Grodzins E × B(E2) ↑ product rule
journal, April 2018

Generalized grodzins relation for ground band
journal, July 2019