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Title: Beyond the proton drip line: Bayesian analysis of proton-emitting nuclei

Journal Article · · Physical Review C

The limits of the nuclear landscape are determined by nuclear binding energies. Beyond the proton drip lines, where the separation energy becomes negative, there is not enough binding energy to prevent protons from escaping the nucleus. Predicting properties of unstable nuclear states in the vast territory of proton emitters poses an appreciable challenge for nuclear theory as it often involves far extrapolations. In addition, significant discrepancies between nuclear models in the proton-rich territory call for quantified predictions. With the help of Bayesian methodology, we mix a family of nuclear mass models corrected with statistical emulators trained on the experimental mass measurements, in the proton-rich region of the nuclear chart. Separation energies were computed within nuclear density functional theory using several Skyrme and Gogny energy density functionals. We also considered mass predictions based on two models used in astrophysical studies. Quantified predictions were obtained for each model using Bayesian Gaussian processes trained on separation-energy residuals and combined via Bayesian model averaging. Here, we obtained a good agreement between averaged predictions of statistically corrected models and experiment. In particular, we quantified model results for one- and two-proton separation energies and derived probabilities of proton emission. This information enabled us to produce a quantified landscape of proton-rich nuclei. The most promising candidates for two-proton decay studies have been identified. Finally, the methodology used in this work has broad applications to model-based extrapolations of various nuclear observables. It also provides a reliable uncertainty quantification of theoretical predictions.

Research Organization:
Michigan State Univ., East Lansing, MI (United States)
Sponsoring Organization:
USDOE Office of Science (SC), Nuclear Physics (NP)
Grant/Contract Number:
SC0013365; SC0008511; NA0002847; SC0018083; NA0003885
OSTI ID:
1615735
Journal Information:
Physical Review C, Vol. 101, Issue 1; ISSN 2469-9985
Publisher:
American Physical Society (APS)Copyright Statement
Country of Publication:
United States
Language:
English
Citation Metrics:
Cited by: 27 works
Citation information provided by
Web of Science

References (97)

Nuclear mass predictions for the crustal composition of neutron stars: A Bayesian neural network approach journal January 2016
First Direct Mass Measurements of Nuclides around Z = 100 with a Multireflection Time-of-Flight Mass Spectrograph journal April 2018
Future Opportunities at the Facility for Rare Isotope Beams journal January 2018
Nuclear deformation in the A 100 region: Comparison between new masses and mean-field predictions journal July 2017
Neutron Drip Line in the Ca Region from Bayesian Model Averaging journal February 2019
Erratum: Landscape of Two-Proton Radioactivity [Phys. Rev. Lett. 110 , 222501 (2013)] journal September 2013
The limits of the nuclear landscape journal June 2012
Hartree-Fock-Bogolyubov description of nuclei near the neutron-drip line journal June 1984
Nuclear energy density optimization: Shell structure journal May 2014
Dawning of the N = 32 Shell Closure Seen through Precision Mass Measurements of Neutron-Rich Titanium Isotopes journal February 2018
Performance of the Levenberg–Marquardt neural network approach in nuclear mass prediction journal March 2017
Fission properties of superheavy nuclei for r -process calculations journal March 2018
Proton spectroscopy of Ni 48 , Fe 46 , and Cr 44 journal July 2014
Binding Energy of Cu 79 : Probing the Structure of the Doubly Magic Ni 78 from Only One Proton Away journal November 2017
First Gogny-Hartree-Fock-Bogoliubov Nuclear Mass Model journal June 2009
Two-proton emission half-lives in the effective liquid drop model journal November 2017
Shell corrections for finite-depth deformed potentials: Green’s function oscillator expansion method journal May 2000
David Draper and E. I. George, and a rejoinder by the authors journal November 1999
Transition from direct to sequential two-proton decay in s–d shell nuclei journal November 2016
The AME2016 atomic mass evaluation (II). Tables, graphs and references journal March 2017
The Ame2003 atomic mass evaluation journal December 2003
Decay mechanism and lifetime of Kr 67 journal February 2017
The Ame2003 atomic mass evaluation journal December 2003
First Observation of Zn 54 and its Decay by Two-Proton Emission journal June 2005
α -decay energies of superheavy nuclei: Systematic trends journal January 2019
Nuclear shell structure at particle drip lines journal February 1994
Dependence of two-proton radioactivity on nuclear pairing models journal October 2017
LISE++: Radioactive beam production with in-flight separators journal October 2008
Structure and decay of the extremely proton-rich nuclei O 11 , 12 journal May 2019
Nuclear ground-state masses and deformations: FRDM(2012) journal May 2016
Two-Proton Radioactivity of F 45 e journal August 2002
Democratic Decay of Be 6 Exposed by Correlations journal November 2012
Variations on a theme by Skyrme: A systematic study of adjustments of model parameters journal March 2009
Precision Mass Measurements of Neutron-Rich Neodymium and Samarium Isotopes and Their Role in Understanding Rare-Earth Peak Formation journal June 2018
On neutron-deficient isotopes of light nuclei and the phenomena of proton and two-proton radioactivity journal September 1960
First Observation of Unbound O 11 , the Mirror of the Halo Nucleus Li 11 journal March 2019
Towards a better parametrisation of Skyrme-like effective forces: A critical study of the SkM force journal September 1982
Landscape of Two-Proton Radioactivity journal May 2013
Two-proton radioactivity: the status and perspectives journal June 2004
Computing and Graphing Highest Density Regions journal May 1996
Bayesian Theory journal January 2001
Two-proton radioactivity: 10 years of experimental progresses journal April 2013
Bayesian Theory.
  • 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 https://doi.org/10.2307/2983298
journal January 1995
Diproton decay of nuclei on the proton drip line journal April 1991
Pairing correlations. I. Description of odd nuclei in mean-field theories journal December 2001
Nuclear mass predictions based on Bayesian neural network approach with pairing and shell effects journal March 2018
Nuclear energy density optimization: Large deformations journal February 2012
Radioactive decays at limits of nuclear stability journal April 2012
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
Two-proton radioactivity journal March 2008
Improved Kelson-Garvey mass relations for proton-rich nuclei journal January 2013
Extrapolation of nuclear structure observables with artificial neural networks journal November 2019
Computing and Graphing Highest Density Regions journal May 1996
Alpha half-lives calculation of superheavy nuclei with Q α -value predictions based on the Bayesian neural network approach journal October 2019
Nuclear energy density optimization journal August 2010
First observation of two-proton radioactivity in Ni 48 journal June 2011
Direct Observation of Two Protons in the Decay of Zn 54 journal September 2011
Two-proton radioactivity and three-body decay. II. Exploratory studies of lifetimes and correlations journal November 2003
Towards the Limits of Existence of Nuclear Structure: Observation and First Spectroscopy of the Isotope K 31 by Measuring Its Three-Proton Decay journal August 2019
Structure of proton drip-line nuclei around doubly magic Ni 48 journal February 1996
New Kohn-Sham density functional based on microscopic nuclear and neutron matter equations of state journal June 2013
LISE++ development: Application to projectile fission at relativistic energies journal May 2005
Deep excursion beyond the proton dripline. II. Toward the limits of existence of nuclear structure journal December 2018
Facility for Rare Isotope Beams Update for Nuclear Physics News journal April 2017
Modified empirical parametrization of fragmentation cross sections journal February 2000
Bayesian Evaluation of Incomplete Fission Yields journal September 2019
Validating neural-network refinements of nuclear mass models journal January 2018
Bayesian approach to model-based extrapolation of nuclear observables journal September 2018
Particle radioactivity of exotic nuclei journal January 2013
Bayesian Neural Network improvements to nuclear mass formulae and predictions in the SuperHeavy Elements region journal August 2019
Neutron-skin uncertainties of Skyrme energy density functionals journal September 2013
Bayesian Model Selection and Model Averaging journal March 2000
Nuclear mass systematics using neural networks journal November 2004
The decay of proton-rich nuclei in the mass region journal August 2007
Further explorations of Skyrme-Hartree-Fock-Bogoliubov mass formulas. XIII. The 2012 atomic mass evaluation and the symmetry coefficient journal August 2013
An approach to adjustment of relativistic mean field model parameters journal January 2017
First evidence for the two-proton decay of 45Fe journal July 2002
Towards a better parametrisation of Skyrme-like effective forces: A critical study of the SkM force text January 1982
Two-proton radioactivity studies with Fe 45 and Ni 48 journal November 2005
Particle decays of levels in N 11 , 12 and O 12 investigated with the invariant-mass method journal August 2019
Two-Proton Radioactivity of Kr 67 journal October 2016
Bayesian theory: José M. Bernardo and Adrian F. M. Smith John Wiley & Sons, Chichester 1994 48.50 GBP journal February 1994
Improved Kelson-Garvey mass relations for proton-rich nuclei text January 2013
Neutron skin uncertainties of Skyrme energy density functionals text January 2013
Global performance of covariant energy density functionals: ground state observables of even-even nuclei and the estimate of theoretical uncertainties text January 2014
Transition from direct to sequential two-proton decay in $s$-$d$ shell nuclei text January 2016
Dependence of two-proton radioactivity on nuclear pairing models text January 2016
Fission properties of superheavy nuclei for r-process calculations text January 2017
Refining mass formulas for astrophysical applications: a Bayesian neural network approach text January 2017
Validating neural-network refinements of nuclear mass models text January 2017
Nuclear mass predictions based on Bayesian neural network approach with pairing and shell effects text January 2018
Precision mass measurements on neutron-rich rare-earth isotopes at JYFLTRAP - reduced neutron pairing and implications for the $r$-process calculations text January 2018
Bayesian approach to model-based extrapolation of nuclear observables text January 2018
Neutron drip line in the Ca region from Bayesian model averaging text January 2019
Towards the Limits of Existence of Nuclear Structure: Observation and First spectroscopy of the Isotope $^{31}$K by measuring its three-proton Decay text January 2019
Shell Corrections for Finite-Depth Deformed Potentials: Green's Function Oscillator Expansion Method text January 2000

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