Global description of $β$– decay with the axially deformed Skyrme finite-amplitude method: Extension to odd-mass and odd-odd nuclei

Ney, E. M.; Engel, J.; Li, T.; Schunck, N.

doi:10.1103/physrevc.102.034326

Title: Global description of $$β$$^– decay with the axially deformed Skyrme finite-amplitude method: Extension to odd-mass and odd-odd nuclei

Journal Article · Mon Sep 28 00:00:00 EDT 2020 · Physical Review. C

DOI:https://doi.org/10.1103/physrevc.102.034326· OSTI ID:1668508

Ney, E. M. ^[1];

^[1]; Li, T. ^[2]; Schunck, N. ^[3]

Univ. of North Carolina, Chapel Hill, NC (United States). Dept. of Physics and Astronomy
Michigan State Univ., East Lansing, MI (United States). Dept. of Physics and Astronomy and National Superconducting Cyclotron Lab.
Lawrence Livermore National Lab. (LLNL), Livermore, CA (United States). Nuclear and Chemical Science Division

Here we use the finite-amplitude method (FAM), an efficient implementation of the quasiparticle random phase approximation, to compute $$β$$-decay rates with Skyrme energy-density functionals for 3983 nuclei, essentially all the medium-mass and heavy isotopes on the neutron-rich side of stability. We employ an extension of the FAM that treats odd-mass and odd-odd nuclear ground states in the equal filling approximation. Our rates are in reasonable agreement both with experimental data where available and with rates from other global calculations.

View Accepted Manuscript (DOE)

Cite

Export

Save

Research Organization:: Lawrence Livermore National Laboratory (LLNL), Livermore, CA (United States)

Sponsoring Organization:: USDOE National Nuclear Security Administration (NNSA)

Grant/Contract Number:: AC52-07NA27344; SC0018223

OSTI ID:: 1668508

Report Number(s):: LLNL-JRNL-810763; 1017424; TRN: US2203702

Journal Information:: Physical Review. C, Vol. 102, Issue 3; ISSN 2469-9985

Publisher:: American Physical Society (APS)Copyright Statement

Country of Publication:: United States

Language:: English

References (44)

GW170817: Observation of Gravitational Waves from a Binary Neutron Star Inspiral Abbott, B. P.; Abbott, R.; Abbott, T. D. Physical Review Letters, Vol. 119, Issue 16 https://doi.org/10.1103/PhysRevLett.119.161101	journal	October 2017
Finite-amplitude method: an extension to the covariant density functionals Liang, Haozhao; Nakatsukasa, Takashi; Niu, Zhongming Physica Scripta, Vol. 89, Issue 5 https://doi.org/10.1088/0031-8949/89/5/054018	journal	April 2014
Large-scale evaluation of $β$ -decay rates of $r$ -process nuclei with the inclusion of first-forbidden transitions Marketin, T.; Huther, L.; Martínez-Pinedo, G. Physical Review C, Vol. 93, Issue 2 https://doi.org/10.1103/PhysRevC.93.025805	journal	February 2016
Self-consistent calculation of nuclear photoabsorption cross sections: Finite amplitude method with Skyrme functionals in the three-dimensional real space Inakura, Tsunenori; Nakatsukasa, Takashi; Yabana, Kazuhiro Physical Review C, Vol. 80, Issue 4 https://doi.org/10.1103/PhysRevC.80.044301	journal	October 2009
Interplay of quasiparticle-vibration coupling and pairing correlations on β -decay half-lives Niu, Y. F.; Niu, Z. M.; Colò, G. Physics Letters B, Vol. 780 https://doi.org/10.1016/j.physletb.2018.02.061	journal	May 2018
Feasibility of the finite-amplitude method in covariant density functional theory Liang, Haozhao; Nakatsukasa, Takashi; Niu, Zhongming Physical Review C, Vol. 87, Issue 5 https://doi.org/10.1103/PhysRevC.87.054310	journal	May 2013
The r-, s-, and p-Processes in Nucleosynthesis Meyer, Bradley S. Annual Review of Astronomy and Astrophysics, Vol. 32, Issue 1 https://doi.org/10.1146/annurev.aa.32.090194.001101	journal	September 1994
Subtraction method in the second random-phase approximation: First applications with a Skyrme energy functional Gambacurta, D.; Grasso, M.; Engel, J. Physical Review C, Vol. 92, Issue 3 https://doi.org/10.1103/PhysRevC.92.034303	journal	September 2015
Energy Density Functional Methods for Atomic Nuclei Schunck, Nicolas https://doi.org/10.1088/2053-2563/aae0ed	book	January 2019
Odd-even mass differences from self-consistent mean field theory Bertsch, G. F.; Bertulani, C. A.; Nazarewicz, W. Physical Review C, Vol. 79, Issue 3 https://doi.org/10.1103/PhysRevC.79.034306	journal	March 2009
Finite-temperature HFB theory Goodman, Alan L. Nuclear Physics A, Vol. 352, Issue 1 https://doi.org/10.1016/0375-9474(81)90557-1	journal	January 1981
Finite amplitude method for the quasiparticle random-phase approximation Avogadro, Paolo; Nakatsukasa, Takashi Physical Review C, Vol. 84, Issue 1 https://doi.org/10.1103/PhysRevC.84.014314	journal	July 2011
Collective inertia of the Nambu-Goldstone mode from linear response theory Hinohara, Nobuo Physical Review C, Vol. 92, Issue 3 https://doi.org/10.1103/PhysRevC.92.034321	journal	September 2015
Sensitivity studies for the main r process: β-decay rates Mumpower, M.; Cass, J.; Passucci, G. AIP Advances, Vol. 4, Issue 4 https://doi.org/10.1063/1.4867192	journal	April 2014
$β$ decay rates of r -process waiting-point nuclei in a self-consistent approach Engel, J.; Bender, M.; Dobaczewski, J. Physical Review C, Vol. 60, Issue 1 https://doi.org/10.1103/PhysRevC.60.014302	journal	June 1999
$β$ decay of deformed $r$ -process nuclei near $A = 80$ and $A = 160$ , including odd- $A$ and odd-odd nuclei, with the Skyrme finite-amplitude method Shafer, T.; Engel, J.; Fröhlich, C. Physical Review C, Vol. 94, Issue 5 https://doi.org/10.1103/PhysRevC.94.055802	journal	November 2016
Finite amplitude method applied to the giant dipole resonance in heavy rare-earth nuclei Oishi, Tomohiro; Kortelainen, Markus; Hinohara, Nobuo Physical Review C, Vol. 93, Issue 3 https://doi.org/10.1103/PhysRevC.93.034329	journal	March 2016
Systematic study of electric-dipole excitations with fully self-consistent Skyrme HF plus RPA from light-to-medium-mass deformed nuclei Inakura, T.; Nakatsukasa, T.; Yabana, K. The European Physical Journal A, Vol. 42, Issue 3 https://doi.org/10.1140/epja/i2009-10811-9	journal	May 2009
Nuclear response theory for spin-isospin excitations in a relativistic quasiparticle-phonon coupling framework Robin, Caroline; Litvinova, Elena The European Physical Journal A, Vol. 52, Issue 7 https://doi.org/10.1140/epja/i2016-16205-0	journal	July 2016
Microscopic theory of nuclear fission: a review Schunck, N.; Robledo, L. M. Reports on Progress in Physics, Vol. 79, Issue 11 https://doi.org/10.1088/0034-4885/79/11/116301	journal	October 2016
Finite amplitude method in linear response TDDFT calculations Nakatsukasa, Takashi Journal of Physics: Conference Series, Vol. 533 https://doi.org/10.1088/1742-6596/533/1/012054	journal	September 2014
Systematic study of nuclear β decay Homma, H.; Bender, E.; Hirsch, M. Physical Review C, Vol. 54, Issue 6 https://doi.org/10.1103/PhysRevC.54.2972	journal	December 1996
Implementation of the finite amplitude method for the relativistic quasiparticle random-phase approximation Nikšić, T.; Kralj, N.; Tutiš, T. Physical Review C, Vol. 88, Issue 4 https://doi.org/10.1103/PhysRevC.88.044327	journal	October 2013
One-quasiparticle states in the nuclear energy density functional theory Schunck, N.; Dobaczewski, J.; McDonnell, J. Physical Review C, Vol. 81, Issue 2 https://doi.org/10.1103/PhysRevC.81.024316	journal	February 2010
Complex-energy approach to sum rules within nuclear density functional theory Hinohara, Nobuo; Kortelainen, Markus; Nazarewicz, Witold Physical Review C, Vol. 91, Issue 4 https://doi.org/10.1103/PhysRevC.91.044323	journal	April 2015
Hartree-Fock-Bogoliubov theory of polarized Fermi systems Bertsch, George; Dobaczewski, Jacek; Nazarewicz, Witold Physical Review A, Vol. 79, Issue 4 https://doi.org/10.1103/PhysRevA.79.043602	journal	April 2009
Axially deformed solution of the Skyrme–Hartree–Fock–Bogolyubov equations using the transformed harmonic oscillator basis (III) hfbtho (v3.00): A new version of the program Perez, R. Navarro; Schunck, N.; Lasseri, R. -D. Computer Physics Communications, Vol. 220 https://doi.org/10.1016/j.cpc.2017.06.022	journal	November 2017
Microscopic justification of the equal filling approximation Perez-Martin, Sara; Robledo, L. M. Physical Review C, Vol. 78, Issue 1 https://doi.org/10.1103/PhysRevC.78.014304	journal	July 2008
Global description of $β^{-}$ decay in even-even nuclei with the axially-deformed Skyrme finite-amplitude method Mustonen, M. T.; Engel, J. Physical Review C, Vol. 93, Issue 1 https://doi.org/10.1103/PhysRevC.93.014304	journal	January 2016
Finite-amplitude method for charge-changing transitions in axially deformed nuclei Mustonen, M. T.; Shafer, T.; Zenginerler, Z. Physical Review C, Vol. 90, Issue 2 https://doi.org/10.1103/PhysRevC.90.024308	journal	August 2014
Decoding $β$ -decay systematics: A global statistical model for $β^{-}$ half-lives Costiris, N. J.; Mavrommatis, E.; Gernoth, K. A. Physical Review C, Vol. 80, Issue 4 https://doi.org/10.1103/PhysRevC.80.044332	journal	October 2009
Discrepancy between experimental and theoretical β-decay rates resolved from first principles Gysbers, P.; Hagen, G.; Holt, J. D. Nature Physics, Vol. 15, Issue 5 https://doi.org/10.1038/s41567-019-0450-7	journal	March 2019
Nuclear Properties for Astrophysical and Radioactive-Ion-Beam Applications MÖLler, P.; Nix, J. R.; Kratz, K. -L. Atomic Data and Nuclear Data Tables, Vol. 66, Issue 2 https://doi.org/10.1006/adnd.1997.0746	journal	July 1997
Shell-model calculations of stellar weak interaction rates: II. Weak rates for nuclei in the mass range in supernovae environments Langanke, K.; Martı́nez-Pinedo, G. Nuclear Physics A, Vol. 673, Issue 1-4 https://doi.org/10.1016/S0375-9474(00)00131-7	journal	June 2000
Semi-gross theory of nuclear β-decay Nakata, Hidehiko; Tachibana, Takahiro; Yamada, Masami Nuclear Physics A, Vol. 625, Issue 3 https://doi.org/10.1016/S0375-9474(97)00413-2	journal	November 1997
New calculations of gross $β$ -decay properties for astrophysical applications: Speeding-up the classical r process Möller, Peter; Pfeiffer, Bernd; Kratz, Karl-Ludwig Physical Review C, Vol. 67, Issue 5 https://doi.org/10.1103/PhysRevC.67.055802	journal	May 2003
Systematic Calculation of Electric Dipole Strength with Skyrme-Hf plus rpa Inakura, Tsunenori; Nakatsukasa, Takashi; Yabana, Kazuhiro Modern Physics Letters A, Vol. 25, Issue 21n23 https://doi.org/10.1142/S0217732310000678	journal	July 2010
Shape coexistence and the effective nucleon-nucleon interaction Reinhard, P. -G.; Dean, D. J.; Nazarewicz, W. Physical Review C, Vol. 60, Issue 1 https://doi.org/10.1103/PhysRevC.60.014316	journal	June 1999
Synthesis of the Elements in Stars Burbidge, E. Margaret; Burbidge, G. R.; Fowler, William A. Reviews of Modern Physics, Vol. 29, Issue 4 https://doi.org/10.1103/RevModPhys.29.547	journal	October 1957
Unblocking of the Gamow-Teller strength in stellar electron capture on neutron-rich germanium isotopes Langanke, K.; Kolbe, E.; Dean, D. J. Physical Review C, Vol. 63, Issue 3 https://doi.org/10.1103/PhysRevC.63.032801	journal	February 2001
Microscopic description of giant resonances in highly excited nuclei Sommermann, H. Michael Annals of Physics, Vol. 151, Issue 1 https://doi.org/10.1016/0003-4916(83)90318-4	journal	November 1983
Pairing correlations. II. Microscopic analysis of odd-even mass staggering in nuclei Duguet, T.; Bonche, P.; Heenen, P. -H. Physical Review C, Vol. 65, Issue 1 https://doi.org/10.1103/PhysRevC.65.014311	journal	December 2001
Low-energy collective modes of deformed superfluid nuclei within the finite-amplitude method Hinohara, Nobuo; Kortelainen, Markus; Nazarewicz, Witold Physical Review C, Vol. 87, Issue 6 https://doi.org/10.1103/PhysRevC.87.064309	journal	June 2013
Monopole strength function of deformed superfluid nuclei Stoitsov, M.; Kortelainen, M.; Nakatsukasa, T. Physical Review C, Vol. 84, Issue 4 https://doi.org/10.1103/PhysRevC.84.041305	journal	October 2011

Similar Records

Low-energy collective modes of deformed superfluid nuclei within the finite-amplitude method

Journal Article · Mon Jun 17 00:00:00 EDT 2013 · Physical Review. C. Nuclear Physics · OSTI ID:1668508

Hinohara, Nobuo; Kortelainen, Markus; Nazarewicz, Witold

Global description of

β^{-}

decay in even-even nuclei with the axially-deformed Skyrme finite-amplitude method

Journal Article · Mon Jan 11 00:00:00 EST 2016 · Physical Review C · OSTI ID:1668508

Mustonen, M. T.; Engel, J.

β

decay of deformed

r

-process nuclei near

A = 80

and

A = 160

, including odd-

A

and odd-odd nuclei, with the Skyrme finite-amplitude method

Journal Article · Mon Nov 07 00:00:00 EST 2016 · Physical Review C · OSTI ID:1668508

Shafer, T.; Engel, J.; Fröhlich, C.; +3 more

Related Subjects

73 NUCLEAR PHYSICS AND RADIATION PHYSICS
beta decay
electromagnetic transitions
lifetimes & widths
nuclear density functional theory
nuclear many-body theory
nuclear structure & decays
nucleosynthesis in explosive environments

Title: Global description of $$β$$– decay with the axially deformed Skyrme finite-amplitude method: Extension to odd-mass and odd-odd nuclei

Citation Formats

References (44)

Similar Records

Related Subjects

Title: Global description of $$β$$^– decay with the axially deformed Skyrme finite-amplitude method: Extension to odd-mass and odd-odd nuclei