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Title: Neutron Drip Line in the Ca Region from Bayesian Model Averaging

Abstract

The region of heavy calcium isotopes forms the frontier of experimental and theoretical nuclear structure research where the basic concepts of nuclear physics are put to stringent test. The recent discovery of the extremely neutron-rich nuclei around 60Ca and the experimental determination of masses for 55-57Ca provide unique information about the binding energy surface in this region. To assess the impact of these experimental discoveries on the nuclear landscape’s extent, we use global mass models and statistical machine learning to make predictions, with quantified levels of certainty, for bound nuclides between Si and Ti. Using a Bayesian model averaging analysis based on Gaussian-process-based extrapolations we introduce the posterior probability for each nucleus to be bound to neutron emission. We discover that extrapolations for drip-line locations, at which the nuclear binding ends, are consistent across the global mass models used, in spite of significant variations between their raw predictions. In particular, considering the current experimental information and current global mass models, we suggest that 68Ca has an average posterior probability pex ≈ 76 % to be bound to two-neutron emission while the nucleus 61Ca is likely to decay by emitting a neutron (pex ≈ 46 % ).

Authors:
 [1];  [1];  [1];  [1];  [1]
  1. Michigan State Univ., East Lansing, MI (United States)
Publication Date:
Research Org.:
Michigan State Univ., East Lansing, MI (United States)
Sponsoring Org.:
USDOE National Nuclear Security Administration (NNSA); USDOE Office of Science (SC), Nuclear Physics (NP)
OSTI Identifier:
1513811
Alternate Identifier(s):
OSTI ID: 1615737
Grant/Contract Number:  
NA0003885; SC0013365; SC0018083; NA0002847; SC0008511
Resource Type:
Accepted Manuscript
Journal Name:
Physical Review Letters
Additional Journal Information:
Journal Volume: 122; Journal Issue: 6; Journal ID: ISSN 0031-9007
Publisher:
American Physical Society (APS)
Country of Publication:
United States
Language:
English
Subject:
73 NUCLEAR PHYSICS AND RADIATION PHYSICS

Citation Formats

Neufcourt, Léo, Cao, Yuchen, Nazarewicz, Witold, Olsen, Erik, and Viens, Frederi. Neutron Drip Line in the Ca Region from Bayesian Model Averaging. United States: N. p., 2019. Web. doi:10.1103/PhysRevLett.122.062502.
Neufcourt, Léo, Cao, Yuchen, Nazarewicz, Witold, Olsen, Erik, & Viens, Frederi. Neutron Drip Line in the Ca Region from Bayesian Model Averaging. United States. https://doi.org/10.1103/PhysRevLett.122.062502
Neufcourt, Léo, Cao, Yuchen, Nazarewicz, Witold, Olsen, Erik, and Viens, Frederi. Thu . "Neutron Drip Line in the Ca Region from Bayesian Model Averaging". United States. https://doi.org/10.1103/PhysRevLett.122.062502. https://www.osti.gov/servlets/purl/1513811.
@article{osti_1513811,
title = {Neutron Drip Line in the Ca Region from Bayesian Model Averaging},
author = {Neufcourt, Léo and Cao, Yuchen and Nazarewicz, Witold and Olsen, Erik and Viens, Frederi},
abstractNote = {The region of heavy calcium isotopes forms the frontier of experimental and theoretical nuclear structure research where the basic concepts of nuclear physics are put to stringent test. The recent discovery of the extremely neutron-rich nuclei around 60Ca and the experimental determination of masses for 55-57Ca provide unique information about the binding energy surface in this region. To assess the impact of these experimental discoveries on the nuclear landscape’s extent, we use global mass models and statistical machine learning to make predictions, with quantified levels of certainty, for bound nuclides between Si and Ti. Using a Bayesian model averaging analysis based on Gaussian-process-based extrapolations we introduce the posterior probability for each nucleus to be bound to neutron emission. We discover that extrapolations for drip-line locations, at which the nuclear binding ends, are consistent across the global mass models used, in spite of significant variations between their raw predictions. In particular, considering the current experimental information and current global mass models, we suggest that 68Ca has an average posterior probability pex ≈ 76 % to be bound to two-neutron emission while the nucleus 61Ca is likely to decay by emitting a neutron (pex ≈ 46 % ).},
doi = {10.1103/PhysRevLett.122.062502},
journal = {Physical Review Letters},
number = 6,
volume = 122,
place = {United States},
year = {Thu Feb 14 00:00:00 EST 2019},
month = {Thu Feb 14 00:00:00 EST 2019}
}

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Works referenced in this record:

Nuclear mass predictions for the crustal composition of neutron stars: A Bayesian neural network approach
journal, January 2016


Nuclear Superfluidity
book, August 2009


Probabilistic forecasts, calibration and sharpness
journal, April 2007

  • Gneiting, Tilmann; Balabdaoui, Fadoua; Raftery, Adrian E.
  • Journal of the Royal Statistical Society: Series B (Statistical Methodology), Vol. 69, Issue 2
  • DOI: 10.1111/j.1467-9868.2007.00587.x

The limits of the nuclear landscape
journal, June 2012

  • Erler, Jochen; Birge, Noah; Kortelainen, Markus
  • Nature, Vol. 486, Issue 7404
  • DOI: 10.1038/nature11188

Dawning of the N = 32 Shell Closure Seen through Precision Mass Measurements of Neutron-Rich Titanium Isotopes
journal, February 2018


Hartree-Fock-Bogolyubov description of nuclei near the neutron-drip line
journal, June 1984


Nuclear energy density optimization: Shell structure
journal, May 2014


Performance of the Levenberg–Marquardt neural network approach in nuclear mass prediction
journal, March 2017

  • Zhang, Hai Fei; Wang, Li Hao; Yin, Jing Peng
  • Journal of Physics G: Nuclear and Particle Physics, Vol. 44, Issue 4
  • DOI: 10.1088/1361-6471/aa5d78

Challenges in nuclear structure theory
journal, March 2016


David Draper and E. I. George, and a rejoinder by the authors
journal, November 1999

  • Volinsky, Chris T.; Raftery, Adrian E.; Madigan, David
  • Statistical Science, Vol. 14, Issue 4
  • DOI: 10.1214/ss/1009212519

Evidence for a Change in the Nuclear Mass Surface with the Discovery of the Most Neutron-Rich Nuclei with 17 Z 25
journal, April 2009


The AME2016 atomic mass evaluation (II). Tables, graphs and references
journal, March 2017


The Ame2003 atomic mass evaluation
journal, December 2003


Three-nucleon forces and spectroscopy of neutron-rich calcium isotopes
journal, August 2014


Nuclear ground-state masses and deformations: FRDM(2012)
journal, May 2016


Variations on a theme by Skyrme: A systematic study of adjustments of model parameters
journal, March 2009


Strictly Proper Scoring Rules, Prediction, and Estimation
journal, March 2007

  • Gneiting, Tilmann; Raftery, Adrian E.
  • Journal of the American Statistical Association, Vol. 102, Issue 477
  • DOI: 10.1198/016214506000001437

Saturation with chiral interactions and consequences for finite nuclei
journal, July 2017


Towards a better parametrisation of Skyrme-like effective forces: A critical study of the SkM force
journal, September 1982


Efimov Physics Around the Neutron-Rich Ca 60 Isotope
journal, September 2013


Coupled-cluster computations of atomic nuclei
journal, September 2014


Evolution of Shell Structure in Neutron-Rich Calcium Isotopes
journal, July 2012


Monte Carlo sampling methods using Markov chains and their applications
journal, April 1970


Ab initio multireference in-medium similarity renormalization group calculations of even calcium and nickel isotopes
journal, October 2014


Nucleus-Dependent Valence-Space Approach to Nuclear Structure
journal, January 2017


Nuclear energy density optimization: Large deformations
journal, February 2012


Discovery of Ca 60 and Implications For the Stability of Ca 70
journal, July 2018


Magic Nature of Neutrons in Ca 54 : First Mass Measurements of Ca 55 57
journal, July 2018


Refining mass formulas for astrophysical applications: A Bayesian neural network approach
journal, October 2017


Addressing spectroscopic quality of covariant density functional theory
journal, February 2015


Production cross sections from 82 Se fragmentation as indications of shell effects in neutron-rich isotopes close to the drip-line
journal, May 2013


Living on the edge of stability, the limits of the nuclear landscape
journal, January 2013


Neutron and weak-charge distributions of the 48Ca nucleus
journal, November 2015

  • Hagen, G.; Ekström, A.; Forssén, C.
  • Nature Physics, Vol. 12, Issue 2
  • DOI: 10.1038/nphys3529

Chiral two- and three-nucleon forces along medium-mass isotope chains
journal, June 2014


Nuclear energy density optimization
journal, August 2010


The In-Medium Similarity Renormalization Group: A novel ab initio method for nuclei
journal, March 2016


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
  • DOI: 10.1103/RevModPhys.75.121

One-quasiparticle states in the nuclear energy density functional theory
journal, February 2010


Bayesian approach to model-based extrapolation of nuclear observables
journal, September 2018


Validating neural-network refinements of nuclear mass models
journal, January 2018


Bayesian Model Selection and Model Averaging
journal, March 2000


Nuclear mass systematics using neural networks
journal, November 2004


Global microscopic calculations of ground-state spins and parities for odd-mass nuclei
journal, August 2007


An approach to adjustment of relativistic mean field model parameters
journal, January 2017


Unexpectedly large charge radii of neutron-rich calcium isotopes
journal, February 2016

  • Garcia Ruiz, R. F.; Bissell, M. L.; Blaum, K.
  • Nature Physics, Vol. 12, Issue 6
  • DOI: 10.1038/nphys3645

The Ame2003 atomic mass evaluation
journal, December 2003


Bayesian Theory
journal, January 2001


Bayesian Theory.
journal, January 1995

  • Lindley, D. V.; Bernardo, J. M.; Smith, A. F. M.
  • Journal of the Royal Statistical Society. Series A (Statistics in Society), Vol. 158, Issue 2
  • DOI: 10.2307/2983298

Towards a better parametrisation of Skyrme-like effective forces: A critical study of the SkM force
text, January 1982

  • Bartel, J.; Quentin, P.; Brack, Matthias
  • Universität Regensburg
  • DOI: 10.5283/epub.11991

Bayesian theory: José M. Bernardo and Adrian F. M. Smith John Wiley & Sons, Chichester 1994 48.50 GBP
journal, February 1994

  • Piccinato, Ludovico
  • Journal of the Italian Statistical Society, Vol. 3, Issue 1
  • DOI: 10.1007/bf02589045

One-quasiparticle States in the Nuclear Energy Density Functional Theory
text, January 2009


Evolution of shell structure in neutron-rich calcium isotopes
text, January 2012


Living on the edge of stability, the limits of the nuclear landscape
text, January 2012


Coupled-cluster computations of atomic nuclei
text, January 2013


The In-Medium Similarity Renormalization Group: A Novel Ab Initio Method for Nuclei
text, January 2015


Unexpectedly large charge radii of neutron-rich calcium isotopes
text, January 2016


A nucleus-dependent valence-space approach to nuclear structure
text, January 2016


Validating neural-network refinements of nuclear mass models
text, January 2017


Bayesian approach to model-based extrapolation of nuclear observables
text, January 2018


Global microscopic calculations of ground-state spin and parity for odd-mass nuclei
text, January 2007


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Alpha half-lives calculation of superheavy nuclei with Q α -value predictions based on the Bayesian neural network approach
journal, October 2019

  • Rodríguez, Ubaldo Baños; Vargas, Cristofher Zuñiga; Gonçalves, Marcello
  • Journal of Physics G: Nuclear and Particle Physics, Vol. 46, Issue 11
  • DOI: 10.1088/1361-6471/ab2c86

Electroweak probes of ground state densities
journal, November 2019


Chiral g -matrix folding-model approach to reaction cross sections for scattering of Ca isotopes on a C target
journal, January 2020


Electroweak probes of ground state densities
text, January 2019


Global sensitivity analysis of bulk properties of an atomic nucleus
text, January 2019


Beyond the proton drip line: Bayesian analysis of proton-emitting nuclei
text, January 2019