Propagation of statistical uncertainties of Skyrme mass models to simulations of -process nucleosynthesis
Abstract
Uncertainties in nuclear models have a major impact on simulations that aim at understanding the origin of heavy elements in the universe through the rapid neutron capture process ( r process) of nucleosynthesis. Within the framework of the nuclear density functional theory, we use results of Bayesian statistical analysis to propagate uncertainties in the parameters of energy density functionals to the predicted r -process abundance pattern, by way not only of the nuclear masses but also through the influence of the masses on β -decay and neutron capture rates. We point out the importance of the nonequilibrium end stage of the r process in determining the width of the resulting abundance pattern uncertainty bands. We additionally make the first identifications of specific parameters of Skyrme-like energy density functionals which show tentative correlations with particular aspects of the r -process abundance pattern. While previous studies have explored the reduction in the abundance pattern uncertainties due to anticipated new measurements of neutron-rich nuclei, here we point out that an even larger reduction will occur when these new measurements are used to reduce the uncertainty of model predictions of masses, which are then propagated through to the abundance pattern. We make a quantitativemore »
- Authors:
-
- Univ. of Notre Dame, IN (United States); Los Alamos National Lab. (LANL), Los Alamos, NM (United States)
- San Diego State Univ., CA (United States)
- Univ. of Notre Dame, IN (United States)
- Los Alamos National Lab. (LANL), Los Alamos, NM (United States)
- North Carolina State Univ., Raleigh, NC (United States)
- Lawrence Livermore National Lab. (LLNL), Livermore, CA (United States)
- Publication Date:
- Research Org.:
- Lawrence Livermore National Lab. (LLNL), Livermore, CA (United States); Los Alamos National Lab. (LANL), Los Alamos, NM (United States)
- Sponsoring Org.:
- USDOE National Nuclear Security Administration (NNSA); USDOE Laboratory Directed Research and Development (LDRD) Program
- OSTI Identifier:
- 1630410
- Alternate Identifier(s):
- OSTI ID: 1634950
- Report Number(s):
- LLNL-JRNL-767227; LA-UR-19-20003
Journal ID: ISSN 2469-9985; PRVCAN; 957667; TRN: US2200661
- Grant/Contract Number:
- AC52-07NA27344; SC0013039; FG02-95ER40934; FG02-02ER41216; FG02-93ER40756; SC0018232; SC0018223; 89233218CNA000001
- Resource Type:
- Accepted Manuscript
- Journal Name:
- Physical Review C
- Additional Journal Information:
- Journal Volume: 101; Journal Issue: 5; Journal ID: ISSN 2469-9985
- Publisher:
- American Physical Society (APS)
- Country of Publication:
- United States
- Language:
- English
- Subject:
- 73 NUCLEAR PHYSICS AND RADIATION PHYSICS; atomic, nuclear and particle physics; astronomy and astrophysics; r-process; mass model; nucleosynthesis
Citation Formats
Sprouse, T. M., Navarro Perez, R., Surman, R., Mumpower, Matthew Ryan, McLaughlin, G. C., and Schunck, N. Propagation of statistical uncertainties of Skyrme mass models to simulations of r -process nucleosynthesis. United States: N. p., 2020.
Web. doi:10.1103/PhysRevC.101.055803.
Sprouse, T. M., Navarro Perez, R., Surman, R., Mumpower, Matthew Ryan, McLaughlin, G. C., & Schunck, N. Propagation of statistical uncertainties of Skyrme mass models to simulations of r -process nucleosynthesis. United States. https://doi.org/10.1103/PhysRevC.101.055803
Sprouse, T. M., Navarro Perez, R., Surman, R., Mumpower, Matthew Ryan, McLaughlin, G. C., and Schunck, N. Fri .
"Propagation of statistical uncertainties of Skyrme mass models to simulations of r -process nucleosynthesis". United States. https://doi.org/10.1103/PhysRevC.101.055803. https://www.osti.gov/servlets/purl/1630410.
@article{osti_1630410,
title = {Propagation of statistical uncertainties of Skyrme mass models to simulations of r -process nucleosynthesis},
author = {Sprouse, T. M. and Navarro Perez, R. and Surman, R. and Mumpower, Matthew Ryan and McLaughlin, G. C. and Schunck, N.},
abstractNote = {Uncertainties in nuclear models have a major impact on simulations that aim at understanding the origin of heavy elements in the universe through the rapid neutron capture process ( r process) of nucleosynthesis. Within the framework of the nuclear density functional theory, we use results of Bayesian statistical analysis to propagate uncertainties in the parameters of energy density functionals to the predicted r -process abundance pattern, by way not only of the nuclear masses but also through the influence of the masses on β -decay and neutron capture rates. We point out the importance of the nonequilibrium end stage of the r process in determining the width of the resulting abundance pattern uncertainty bands. We additionally make the first identifications of specific parameters of Skyrme-like energy density functionals which show tentative correlations with particular aspects of the r -process abundance pattern. While previous studies have explored the reduction in the abundance pattern uncertainties due to anticipated new measurements of neutron-rich nuclei, here we point out that an even larger reduction will occur when these new measurements are used to reduce the uncertainty of model predictions of masses, which are then propagated through to the abundance pattern. We make a quantitative prediction for how large this reduction will be.},
doi = {10.1103/PhysRevC.101.055803},
journal = {Physical Review C},
number = 5,
volume = 101,
place = {United States},
year = {Fri May 15 00:00:00 EDT 2020},
month = {Fri May 15 00:00:00 EDT 2020}
}
Web of Science
Works referenced in this record:
The Electromagnetic Counterpart of the Binary Neutron Star Merger LIGO/Virgo GW170817. II. UV, Optical, and Near-infrared Light Curves and Comparison to Kilonova Models
journal, October 2017
- Cowperthwaite, P. S.; Berger, E.; Villar, V. A.
- The Astrophysical Journal, Vol. 848, Issue 2
Further improvements on a global nuclear mass model
journal, July 2011
- Liu, Min; Wang, Ning; Deng, Yangge
- Physical Review C, Vol. 84, Issue 1
Fission dynamics of from saddle to scission and beyond
journal, September 2019
- Bulgac, Aurel; Jin, Shi; Roche, Kenneth J.
- Physical Review C, Vol. 100, Issue 3
Microscopic mass formulas
journal, July 1995
- Duflo, J.; Zuker, A. P.
- Physical Review C, Vol. 52, Issue 1
The limits of the nuclear landscape
journal, June 2012
- Erler, Jochen; Birge, Noah; Kortelainen, Markus
- Nature, Vol. 486, Issue 7404
Hartree-Fock-Bogolyubov description of nuclei near the neutron-drip line
journal, June 1984
- Dobaczewski, J.; Flocard, H.; Treiner, J.
- Nuclear Physics A, Vol. 422, Issue 1
Neutrino-Driven Winds in the Aftermath of a Neutron star Merger: Nucleosynthesis and Electromagnetic Transients
journal, October 2015
- Martin, D.; Perego, A.; Arcones, A.
- The Astrophysical Journal, Vol. 813, Issue 1
Nuclear mass formula with Bogolyubov-enhanced shell-quenching: application to r-process
journal, October 1996
- Pearson, J. M.; Nayak, R. C.; Goriely, S.
- Physics Letters B, Vol. 387, Issue 3
Fission properties of superheavy nuclei for -process calculations
journal, March 2018
- Giuliani, Samuel A.; Martínez-Pinedo, Gabriel; Robledo, Luis M.
- Physical Review C, Vol. 97, Issue 3
Nucleosynthesis-relevant conditions in neutrino-driven supernova outflows: I. Spherically symmetric hydrodynamic simulations
journal, March 2007
- Arcones, A.; Janka, H. -Th.; Scheck, L.
- Astronomy & Astrophysics, Vol. 467, Issue 3
Nucleosynthesis in the Outflow from Gamma‐Ray Burst Accretion Disks
journal, June 2006
- Surman, R.; McLaughlin, G. C.; Hix, W. R.
- The Astrophysical Journal, Vol. 643, Issue 2
The AME2016 atomic mass evaluation (II). Tables, graphs and references
journal, March 2017
- Wang, Meng; Audi, G.; Kondev, F. G.
- Chinese Physics C, Vol. 41, Issue 3
The NUBASE2016 evaluation of nuclear properties
journal, March 2017
- Audi, G.; Kondev, F. G.; Wang, Meng
- Chinese Physics C, Vol. 41, Issue 3
Neutrino Signal of Electron-Capture Supernovae from Core Collapse to Cooling
journal, June 2010
- Hüdepohl, L.; Müller, B.; Janka, H. -T.
- Physical Review Letters, Vol. 104, Issue 25
Precision mass measurements of isotopes and isomers approaching the closed shell
journal, October 2017
- Lascar, D.; Klawitter, R.; Babcock, C.
- Physical Review C, Vol. 96, Issue 4
Medium modification of the charged-current neutrino opacity and its implications
journal, December 2012
- Roberts, L. F.; Reddy, Sanjay; Shen, Gang
- Physical Review C, Vol. 86, Issue 6
The impact of individual nuclear properties on -process nucleosynthesis
journal, January 2016
- Mumpower, M. R.; Surman, R.; McLaughlin, G. C.
- Progress in Particle and Nuclear Physics, Vol. 86
Impact of Nuclear Mass Uncertainties on the Process
journal, March 2016
- Martin, D.; Arcones, A.; Nazarewicz, W.
- Physical Review Letters, Vol. 116, Issue 12
Nuclear Ground-State Masses and Deformations
journal, March 1995
- Moller, P.; Nix, J. R.; Myers, W. D.
- Atomic Data and Nuclear Data Tables, Vol. 59, Issue 2, p. 185-381
Precision Mass Measurements on Neutron-Rich Rare-Earth Isotopes at JYFLTRAP: Reduced Neutron Pairing and Implications for -Process Calculations
journal, June 2018
- Vilen, M.; Kelly, J. M.; Kankainen, A.
- Physical Review Letters, Vol. 120, Issue 26
Nuclear ground-state masses and deformations: FRDM(2012)
journal, May 2016
- Möller, P.; Sierk, A. J.; Ichikawa, T.
- Atomic Data and Nuclear Data Tables, Vol. 109-110
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
journal, November 2017
- Perez, R. Navarro; Schunck, N.; Lasseri, R. -D.
- Computer Physics Communications, Vol. 220
Precision Mass Measurements of Neutron-Rich Neodymium and Samarium Isotopes and Their Role in Understanding Rare-Earth Peak Formation
journal, June 2018
- Orford, R.; Vassh, N.; Clark, J. A.
- Physical Review Letters, Vol. 120, Issue 26
Variations on a theme by Skyrme: A systematic study of adjustments of model parameters
journal, March 2009
- Klüpfel, P.; Reinhard, P. -G.; Bürvenich, T. J.
- Physical Review C, Vol. 79, Issue 3
PRODUCTION OF ALL THE r -PROCESS NUCLIDES IN THE DYNAMICAL EJECTA OF NEUTRON STAR MERGERS
journal, June 2014
- Wanajo, Shinya; Sekiguchi, Yuichiro; Nishimura, Nobuya
- The Astrophysical Journal, Vol. 789, Issue 2
Towards a better parametrisation of Skyrme-like effective forces: A critical study of the SkM force
journal, September 1982
- Bartel, J.; Quentin, P.; Brack, M.
- Nuclear Physics A, Vol. 386, Issue 1
An improved nuclear mass formula with a unified prescription for the shell and pairing corrections
journal, September 2014
- Zhang, Haifei; Dong, Jianmin; Ma, Nana
- Nuclear Physics A, Vol. 929
Further explorations of Skyrme-Hartree-Fock-Bogoliubov mass formulas. XII. Stiffness and stability of neutron-star matter
journal, September 2010
- Goriely, S.; Chamel, N.; Pearson, J. M.
- Physical Review C, Vol. 82, Issue 3
Three-Dimensional General-Relativistic Magnetohydrodynamic Simulations of Remnant Accretion Disks from Neutron Star Mergers: Outflows and -Process Nucleosynthesis
journal, December 2017
- Siegel, Daniel M.; Metzger, Brian D.
- Physical Review Letters, Vol. 119, Issue 23
R-process nucleosynthesis in the high-entropy supernova bubble
journal, November 1992
- Meyer, B. S.; Mathews, G. J.; Howard, W. M.
- The Astrophysical Journal, Vol. 399
Synthesis of the Elements in Stars
journal, October 1957
- Burbidge, E. Margaret; Burbidge, G. R.; Fowler, William A.
- Reviews of Modern Physics, Vol. 29, Issue 4
ENRICHMENT OF r -PROCESS ELEMENTS IN DWARF SPHEROIDAL GALAXIES IN CHEMO-DYNAMICAL EVOLUTION MODEL
journal, November 2015
- Hirai, Yutaka; Ishimaru, Yuhri; Saitoh, Takayuki R.
- The Astrophysical Journal, Vol. 814, Issue 1
Isomeric states close to doubly magic Sn studied with the double Penning trap JYFLTRAP
journal, February 2013
- Kankainen, A.; Hakala, J.; Eronen, T.
- Physical Review C, Vol. 87, Issue 2
Nuclear energy density optimization: Large deformations
journal, February 2012
- Kortelainen, M.; McDonnell, J.; Nazarewicz, W.
- Physical Review C, Vol. 85, Issue 2
Uncertainty quantification and propagation in nuclear density functional theory
journal, December 2015
- Schunck, N.; McDonnell, J. D.; Higdon, D.
- The European Physical Journal A, Vol. 51, Issue 12
Statistical Hauser-Feshbach theory with width-fluctuation correction including direct reaction channels for neutron-induced reactions at low energies
journal, July 2016
- Kawano, T.; Capote, R.; Hilaire, S.
- Physical Review C, Vol. 94, Issue 1
GW170817: Observation of Gravitational Waves from a Binary Neutron Star Inspiral
journal, October 2017
- Abbott, B. P.; Abbott, R.; Abbott, T. D.
- Physical Review Letters, Vol. 119, Issue 16
Neutron- competition for -delayed neutron emission
journal, December 2016
- Mumpower, M. R.; Kawano, T.; Möller, P.
- Physical Review C, Vol. 94, Issue 6
Reverse engineering nuclear properties from rare earth abundances in the r process
journal, February 2017
- Mumpower, M. R.; McLaughlin, G. C.; Surman, R.
- Journal of Physics G: Nuclear and Particle Physics, Vol. 44, Issue 3
Actinide Production in the Neutron-rich Ejecta of a Neutron Star Merger
journal, December 2018
- Holmbeck, Erika M.; Sprouse, Trevor M.; Mumpower, Matthew R.
- The Astrophysical Journal, Vol. 870, Issue 1
Nuclidic Mass Formula on a Spherical Basis with an Improved Even-Odd Term
journal, February 2005
- Koura, H.; Tachibana, T.; Uno, M.
- Progress of Theoretical Physics, Vol. 113, Issue 2
First operation and mass separation with the CARIBU MR-TOF
journal, June 2016
- Hirsh, Tsviki Y.; Paul, Nancy; Burkey, Mary
- Nuclear Instruments and Methods in Physics Research Section B: Beam Interactions with Materials and Atoms, Vol. 376
Uncorrelated Nuclear Mass Uncertainties and r-process Abundance Predictions
journal, January 2016
- Surman, R.; Mumpower, M.; Aprahamian, A.
- Acta Physica Polonica B, Vol. 47, Issue 3
Storage ring mass spectrometry for nuclear structure and astrophysics research
journal, June 2016
- Zhang, Y. H.; Litvinov, Yu A.; Uesaka, T.
- Physica Scripta, Vol. 91, Issue 7
The r-process and neutrino-heated supernova ejecta
journal, September 1994
- Woosley, S. E.; Wilson, J. R.; Mathews, G. J.
- The Astrophysical Journal, Vol. 433
Estimation of scissors mode strength for deformed nuclei in the medium- to heavy-mass region by statistical Hauser-Feshbach model calculations
journal, August 2017
- Mumpower, M. R.; Kawano, T.; Ullmann, J. L.
- Physical Review C, Vol. 96, Issue 2
β -delayed Fission in r -process Nucleosynthesis
journal, December 2018
- Mumpower, M. R.; Kawano, T.; Sprouse, T. M.
- The Astrophysical Journal, Vol. 869, Issue 1
R-process enrichment from a single event in an ancient dwarf galaxy
journal, March 2016
- Ji, Alexander P.; Frebel, Anna; Chiti, Anirudh
- Nature, Vol. 531, Issue 7596
Neutron-Capture Elements in the Early Galaxy
journal, September 2008
- Sneden, Christopher; Cowan, John J.; Gallino, Roberto
- Annual Review of Astronomy and Astrophysics, Vol. 46, Issue 1
Nuclear robustness of the process in neutron-star mergers
journal, November 2015
- Mendoza-Temis, Joel de Jesús; Wu, Meng-Ru; Langanke, Karlheinz
- Physical Review C, Vol. 92, Issue 5
Nuclear energy density optimization
journal, August 2010
- Kortelainen, M.; Lesinski, T.; Moré, J.
- Physical Review C, Vol. 82, Issue 2
Nuclear properties according to the Thomas-Fermi model
journal, May 1996
- Myers, W. D.; Swiatecki, W. J.
- Nuclear Physics A, Vol. 601, Issue 2
Self-consistent mean-field models for nuclear structure
journal, January 2003
- Bender, Michael; Heenen, Paul-Henri; Reinhard, Paul-Gerhard
- Reviews of Modern Physics, Vol. 75, Issue 1
One-quasiparticle states in the nuclear energy density functional theory
journal, February 2010
- Schunck, N.; Dobaczewski, J.; McDonnell, J.
- Physical Review C, Vol. 81, Issue 2
Prospects for obtaining an r process from Gamma Ray Burst Disk Winds
journal, July 2005
- McLaughlin, G. C.; Surman, R.
- Nuclear Physics A, Vol. 758
Bayesian approach to model-based extrapolation of nuclear observables
journal, September 2018
- Neufcourt, Léo; Cao, Yuchen; Nazarewicz, Witold
- Physical Review C, Vol. 98, Issue 3
Comprehensive nucleosynthesis analysis for ejecta of compact binary mergers
journal, February 2015
- Just, O.; Bauswein, A.; Pulpillo, R. Ardevol
- Monthly Notices of the Royal Astronomical Society, Vol. 448, Issue 1
Nuclear mass formula via an approximation to the Hartree—Fock method
journal, September 1995
- Aboussir, Y.; Pearson, J. M.; Dutta, A. K.
- Atomic Data and Nuclear Data Tables, Vol. 61, Issue 1
Nuclear Properties for Astrophysical and Radioactive-Ion-Beam Applications
journal, July 1997
- MÖLler, P.; Nix, J. R.; Kratz, K. -L.
- Atomic Data and Nuclear Data Tables, Vol. 66, Issue 2
A Bayesian approach for parameter estimation and prediction using a computationally intensive model
journal, February 2015
- Higdon, Dave; McDonnell, Jordan D.; Schunck, Nicolas
- Journal of Physics G: Nuclear and Particle Physics, Vol. 42, Issue 3
Protoneutron star evolution and the neutrino-driven wind in general relativistic neutrino radiation hydrodynamics simulations
journal, July 2010
- Fischer, T.; Whitehouse, S. C.; Mezzacappa, A.
- Astronomy and Astrophysics, Vol. 517
Further explorations of Skyrme-Hartree-Fock-Bogoliubov mass formulas. XIII. The 2012 atomic mass evaluation and the symmetry coefficient
journal, August 2013
- Goriely, S.; Chamel, N.; Pearson, J. M.
- Physical Review C, Vol. 88, Issue 2
A Skyrme parametrization from subnuclear to neutron star densities Part II. Nuclei far from stabilities
journal, May 1998
- Chabanat, E.; Bonche, P.; Haensel, P.
- Nuclear Physics A, Vol. 635, Issue 1-2
The r-process of stellar nucleosynthesis: Astrophysics and nuclear physics achievements and mysteries
journal, September 2007
- Arnould, M.; Goriely, S.; Takahashi, K.
- Physics Reports, Vol. 450, Issue 4-6
Uncertainty Quantification for Nuclear Density Functional Theory and Information Content of New Measurements
journal, March 2015
- McDonnell, J. D.; Schunck, N.; Higdon, D.
- Physical Review Letters, Vol. 114, Issue 12
Extending and refining the nuclear mass surface with ISOLTRAP
journal, May 2017
- Lunney, D.
- Journal of Physics G: Nuclear and Particle Physics, Vol. 44, Issue 6
Formation of the rare-earth peak: Gaining insight into late-time -process dynamics
journal, April 2012
- Mumpower, Matthew R.; McLaughlin, G. C.; Surman, Rebecca
- Physical Review C, Vol. 85, Issue 4