Bayesian inference of nuclear symmetry energy from measured and imagined neutron skin thickness in , and
Abstract
The neutron skin thickness Δrnp in heavy nuclei has been known as one of the most sensitive terrestrial probes of the nuclear symmetry energy Esym(ρ) around $$\frac{2}{3}$$ of the saturation density ρ0 of nuclear matter. Existing neutron skin data mostly from hadronic observables suffer from large uncertainties and their extraction from experiments are often strongly model dependent. While waiting eagerly for the promised model-independent and high-precision neutron skin data for 208Pb and 48Ca from the parity-violating electron scattering experiments (PREX-II and CREX at JLab as well as MREX at MESA), within the Bayesian statistical framework using the Skyrme-Hartree-Fock model we infer the posterior probability distribution functions (PDFs) of the slope parameter L of the nuclear symmetry energy at ρ0 from imagined Δrnp(208Pb)=0.15, 0.20, and 0.30 fm with a 1σ error bar of 0.02, 0.04, and 0.06 fm, respectively, as well as Δrnp(48Ca)=0.12, 0.15, and 0.25 fm, with different 1σ error bar of 0.01 and 0.02 fm, respectively. The results are compared with the PDFs of L inferred using the same approach from the available Δrnp data for 116, 118, 120, 122, 124, 130, 132Sn from hadronic probes. They are also compared with results from a recent Bayesian analysis of the radius and tidal deformability data of canonical neutron stars from GW170817 and NICER. The neutron skin data for Sn isotopes gives L = 45.5 $$^{+ 26.5}_{-21.6}$$ MeV surrounding its mean value or L = 53 . 4 $$^{+ 18.6}_{ -29.5}$$ MeV surrounding its maximum a posteriori value, respectively, with the latter smaller than but consistent with the L = 66 $$^{+ 12}_{-20}$$ MeV from the neutron star data within their 68% confidence intervals. We found that Δrnp = 0.17 –0.18 fm in 208Pb with an error bar of about 0.02 fm leads to a PDF of L compatible with that from analyzing the Sn data. To provide additionally useful information on L extracted from the Δrnp of Sn isotopes, the experimental error bar of Δrnp in 208Pb should be at least smaller than 0.06 fm aimed by some current experiments. In addition, the Δrnp (48Ca) needs to be larger than 0.15 fm but smaller than 0.25 fm to be compatible with the Sn and/or neutron star results. To further improve our current knowledge about L and distinguish its PDFs in the examples considered, even higher precisions leading to significantly less than ±20 MeV error bars for L at 68% confidence level are necessary.
- Authors:
-
[1];
[3]
- Chinese Academy of Sciences (CAS), Shanghai (China)
- Yuncheng University (China)
- Texas A & M Univ., Commerce, TX (United States)
- Publication Date:
- Research Org.:
- Texas A & M Univ., Commerce, TX (United States)
- Sponsoring Org.:
- USDOE Office of Science (SC); National Natural Science Foundation of China (NSFC)
- OSTI Identifier:
- 1837897
- Grant/Contract Number:
- SC0013702; SC0009971
- Resource Type:
- Accepted Manuscript
- Journal Name:
- Physical Review C
- Additional Journal Information:
- Journal Volume: 102; Journal Issue: 4; Journal ID: ISSN 2469-9985
- Publisher:
- American Physical Society (APS)
- Country of Publication:
- United States
- Language:
- English
- Subject:
- 73 NUCLEAR PHYSICS AND RADIATION PHYSICS
Citation Formats
Xu, Jun, Xie, Wen-Jie, and Li, Bao-An. Bayesian inference of nuclear symmetry energy from measured and imagined neutron skin thickness in Sn 116 , 118 , 120 , 122 , 124 , 130 , 132 , Pb 208 , and Ca 48. United States: N. p., 2020.
Web. doi:10.1103/physrevc.102.044316.
Xu, Jun, Xie, Wen-Jie, & Li, Bao-An. Bayesian inference of nuclear symmetry energy from measured and imagined neutron skin thickness in Sn 116 , 118 , 120 , 122 , 124 , 130 , 132 , Pb 208 , and Ca 48. United States. https://doi.org/10.1103/physrevc.102.044316
Xu, Jun, Xie, Wen-Jie, and Li, Bao-An. Wed .
"Bayesian inference of nuclear symmetry energy from measured and imagined neutron skin thickness in Sn 116 , 118 , 120 , 122 , 124 , 130 , 132 , Pb 208 , and Ca 48". United States. https://doi.org/10.1103/physrevc.102.044316. https://www.osti.gov/servlets/purl/1837897.
@article{osti_1837897,
title = {Bayesian inference of nuclear symmetry energy from measured and imagined neutron skin thickness in Sn 116 , 118 , 120 , 122 , 124 , 130 , 132 , Pb 208 , and Ca 48},
author = {Xu, Jun and Xie, Wen-Jie and Li, Bao-An},
abstractNote = {The neutron skin thickness Δrnp in heavy nuclei has been known as one of the most sensitive terrestrial probes of the nuclear symmetry energy Esym(ρ) around $\frac{2}{3}$ of the saturation density ρ0 of nuclear matter. Existing neutron skin data mostly from hadronic observables suffer from large uncertainties and their extraction from experiments are often strongly model dependent. While waiting eagerly for the promised model-independent and high-precision neutron skin data for 208Pb and 48Ca from the parity-violating electron scattering experiments (PREX-II and CREX at JLab as well as MREX at MESA), within the Bayesian statistical framework using the Skyrme-Hartree-Fock model we infer the posterior probability distribution functions (PDFs) of the slope parameter L of the nuclear symmetry energy at ρ0 from imagined Δrnp(208Pb)=0.15, 0.20, and 0.30 fm with a 1σ error bar of 0.02, 0.04, and 0.06 fm, respectively, as well as Δrnp(48Ca)=0.12, 0.15, and 0.25 fm, with different 1σ error bar of 0.01 and 0.02 fm, respectively. The results are compared with the PDFs of L inferred using the same approach from the available Δrnp data for 116, 118, 120, 122, 124, 130, 132Sn from hadronic probes. They are also compared with results from a recent Bayesian analysis of the radius and tidal deformability data of canonical neutron stars from GW170817 and NICER. The neutron skin data for Sn isotopes gives L = 45.5 $^{+ 26.5}_{-21.6}$ MeV surrounding its mean value or L = 53 . 4 $^{+ 18.6}_{ -29.5}$ MeV surrounding its maximum a posteriori value, respectively, with the latter smaller than but consistent with the L = 66 $^{+ 12}_{-20}$ MeV from the neutron star data within their 68% confidence intervals. We found that Δrnp = 0.17 –0.18 fm in 208Pb with an error bar of about 0.02 fm leads to a PDF of L compatible with that from analyzing the Sn data. To provide additionally useful information on L extracted from the Δrnp of Sn isotopes, the experimental error bar of Δrnp in 208Pb should be at least smaller than 0.06 fm aimed by some current experiments. In addition, the Δrnp (48Ca) needs to be larger than 0.15 fm but smaller than 0.25 fm to be compatible with the Sn and/or neutron star results. To further improve our current knowledge about L and distinguish its PDFs in the examples considered, even higher precisions leading to significantly less than ±20 MeV error bars for L at 68% confidence level are necessary.},
doi = {10.1103/physrevc.102.044316},
journal = {Physical Review C},
number = 4,
volume = 102,
place = {United States},
year = {Wed Oct 14 00:00:00 EDT 2020},
month = {Wed Oct 14 00:00:00 EDT 2020}
}
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Works referenced in this record:
Neutron density distributions from antiprotonic and atoms
journal, July 2007
- Kłos, B.; Trzcińska, A.; Jastrzębski, J.
- Physical Review C, Vol. 76, Issue 1
Parity violating measurements of neutron densities
journal, January 2001
- Horowitz, C. J.; Pollock, S. J.; Souder, P. A.
- Physical Review C, Vol. 63, Issue 2
Isospin asymmetry in nuclei and neutron stars
journal, June 2005
- Steiner, A. W.; Prakash, M.; Lattimer, J. M.
- Physics Reports, Vol. 411, Issue 6
Neutron star observations: Prognosis for equation of state constraints
journal, April 2007
- Lattimer, J.; Prakash, M.
- Physics Reports, Vol. 442, Issue 1-6
Giant dipole resonance as a quantitative constraint on the symmetry energy
journal, June 2008
- Trippa, Luca; Colò, Gianluca; Vigezzi, Enrico
- Physical Review C, Vol. 77, Issue 6
Nucleon effective masses in neutron-rich matter
journal, March 2018
- Li, Bao-An; Cai, Bao-Jun; Chen, Lie-Wen
- Progress in Particle and Nuclear Physics, Vol. 99
Equations of state for supernovae and compact stars
journal, March 2017
- Oertel, M.; Hempel, M.; Klähn, T.
- Reviews of Modern Physics, Vol. 89, Issue 1
Constraining simultaneously nuclear symmetry energy and neutron-proton effective mass splitting with nucleus giant resonances using a dynamical approach
journal, March 2017
- Kong, Hai-Yun; Xu, Jun; Chen, Lie-Wen
- Physical Review C, Vol. 95, Issue 3
Neutron Star Structure and the Neutron Radius of
journal, June 2001
- Horowitz, C. J.; Piekarewicz, J.
- Physical Review Letters, Vol. 86, Issue 25
Constraining isovector nuclear interactions with giant resonances within a Bayesian approach
journal, November 2020
- Xu, Jun; Zhou, Jia; Zhang, Zhen
- Physics Letters B, Vol. 810
Analytic insights on the information content of new observables
journal, October 2020
- Chen, Wei-Chia; Piekarewicz, J.
- Physical Review C, Vol. 102, Issue 4
Reaction dynamics with exotic nuclei
journal, May 2005
- Baran, V.; Colonna, M.; Greco, V.
- Physics Reports, Vol. 410, Issue 5-6
Proton elastic scattering from tin isotopes at 295 MeV and systematic change of neutron density distributions
journal, February 2008
- Terashima, S.; Sakaguchi, H.; Takeda, H.
- Physical Review C, Vol. 77, Issue 2
Bayesian Inference of High-density Nuclear Symmetry Energy from Radii of Canonical Neutron Stars
journal, October 2019
- Xie, Wen-Jie; Li, Bao-An
- The Astrophysical Journal, Vol. 883, Issue 2
Neutron Radii in Nuclei and the Neutron Equation of State
journal, December 2000
- Alex Brown, B.
- Physical Review Letters, Vol. 85, Issue 25
Constraining the neutron–proton effective mass splitting using empirical constraints on the density dependence of nuclear symmetry energy around normal density
journal, November 2013
- Li, Bao-An; Han, Xiao
- Physics Letters B, Vol. 727, Issue 1-3
Electroweak measurements of neutron densities in CREX and PREX at JLab, USA
journal, February 2014
- Horowitz, C. J.; Kumar, K. S.; Michaels, R.
- The European Physical Journal A, Vol. 50, Issue 2
Recent progress and new challenges in isospin physics with heavy-ion reactions
journal, August 2008
- Li, B.; Chen, L.; Ko, C.
- Physics Reports, Vol. 464, Issue 4-6
Information content of a new observable: The case of the nuclear neutron skin
journal, May 2010
- Reinhard, P. -G.; Nazarewicz, W.
- Physical Review C, Vol. 81, Issue 5
Statistical aspects of nuclear mass models
journal, July 2020
- Kejzlar, V.; Neufcourt, L.; Nazarewicz, W.
- Journal of Physics G: Nuclear and Particle Physics, Vol. 47, Issue 9
Measurement of the Neutron Radius of through Parity Violation in Electron Scattering
journal, March 2012
- Abrahamyan, S.; Ahmed, Z.; Albataineh, H.
- Physical Review Letters, Vol. 108, Issue 11
Neutron Density Distributions Deduced from Antiprotonic Atoms
journal, August 2001
- Trzcińska, A.; Jastrzȩbski, J.; Lubiński, P.
- Physical Review Letters, Vol. 87, Issue 8
Equation of State Calculations by Fast Computing Machines
journal, June 1953
- Metropolis, Nicholas; Rosenbluth, Arianna W.; Rosenbluth, Marshall N.
- The Journal of Chemical Physics, Vol. 21, Issue 6
The nuclear symmetry energy
journal, November 2016
- Baldo, M.; Burgio, G. F.
- Progress in Particle and Nuclear Physics, Vol. 91
Nuclear Symmetry Energy Extracted from Laboratory Experiments
journal, October 2017
- Li, Bao-An
- Nuclear Physics News, Vol. 27, Issue 4
Density slope of the nuclear symmetry energy from the neutron skin thickness of heavy nuclei
journal, August 2010
- Chen, Lie-Wen; Ko, Che Ming; Li, Bao-An
- Physical Review C, Vol. 82, Issue 2
Neutron skins of 208Pb and 48Ca from pionic probes
journal, December 2012
- Friedman, E.
- Nuclear Physics A, Vol. 896
A theorem on the single particle energy in a Fermi gas with interaction
journal, January 1958
- Hugenholtz, N. M.; van Hove, L.
- Physica, Vol. 24, Issue 1-5
Monte Carlo sampling methods using Markov chains and their applications
journal, April 1970
- Hastings, W. K.
- Biometrika, Vol. 57, Issue 1
Nuclear Symmetry Energy Probed by Neutron Skin Thickness of Nuclei
journal, March 2009
- Centelles, M.; Roca-Maza, X.; Viñas, X.
- Physical Review Letters, Vol. 102, Issue 12
Computation of the highest posterior density interval in bayesian analysis
journal, January 1993
- Turkkan, Noyan; Pham-Gia, T.
- Journal of Statistical Computation and Simulation, Vol. 44, Issue 3-4
Constraints on the symmetry energy and neutron skins from experiments and theory
journal, July 2012
- Tsang, M. B.; Stone, J. R.; Camera, F.
- Physical Review C, Vol. 86, Issue 1
Neutron Skin Thickness of from a Nonlocal Dispersive Optical-Model Analysis
journal, November 2017
- Mahzoon, M. H.; Atkinson, M. C.; Charity, R. J.
- Physical Review Letters, Vol. 119, Issue 22
Probing Nuclear Symmetry Energy and its Imprints on Properties of Nuclei, Nuclear Reactions, Neutron Stars and Gravitational Waves
journal, February 2013
- Li, Bao-An; Chen, Lie-Wen; Fattoyev, Farrukh J.
- Journal of Physics: Conference Series, Vol. 413
Neutron radii and the neutron equation of state in relativistic models
journal, June 2001
- Typel, S.; Brown, B. Alex
- Physical Review C, Vol. 64, Issue 2
Uncertainties in neutron densities determined from analysis of 0.8 GeV polarized proton scattering from nuclei
journal, December 1978
- Ray, L.; Coker, W. Rory; Hoffmann, G. W.
- Physical Review C, Vol. 18, Issue 6
Neutron Skin of from Coherent Pion Photoproduction
journal, June 2014
- Tarbert, C. M.; Watts, D. P.; Glazier, D. I.
- Physical Review Letters, Vol. 112, Issue 24
Neutron skin deduced from antiprotonic atom data
journal, September 2007
- Brown, B. Alex; Shen, G.; Hillhouse, G. C.
- Physical Review C, Vol. 76, Issue 3
Symmetry energy, its density slope, and neutron-proton effective mass splitting at normal density extracted from global nucleon optical potentials
journal, November 2010
- Xu, Chang; Li, Bao-An; Chen, Lie-Wen
- Physical Review C, Vol. 82, Issue 5
Bayesian Inference of the Symmetry Energy of Superdense Neutron-rich Matter from Future Radius Measurements of Massive Neutron Stars
journal, August 2020
- Xie, Wen-Jie; Li, Bao-An
- The Astrophysical Journal, Vol. 899, Issue 1
Neutron and weak-charge distributions of the 48Ca nucleus
journal, November 2015
- Hagen, G.; Ekström, A.; Forssén, C.
- Nature Physics, Vol. 12, Issue 2
Constraining the radii of neutron stars with terrestrial nuclear laboratory data
journal, November 2006
- Li, Bao-An; Steiner, Andrew W.
- Physics Letters B, Vol. 642, Issue 5-6
Topical issue on nuclear symmetry energy
journal, February 2014
- Li, Bao-An; Ramos, Àngels; Verde, Giuseppe
- The European Physical Journal A, Vol. 50, Issue 2
Neutron radii in mean-field models
journal, July 2002
- Furnstahl, R. J.
- Nuclear Physics A, Vol. 706, Issue 1-2
Constraining the symmetry energy at subsaturation densities using isotope binding energy difference and neutron skin thickness
journal, October 2013
- Zhang, Zhen; Chen, Lie-Wen
- Physics Letters B, Vol. 726, Issue 1-3
Hartree-Fock Calculations with Skyrme's Interaction. I. Spherical Nuclei
journal, March 1972
- Vautherin, D.; Brink, D. M.
- Physical Review C, Vol. 5, Issue 3
Nonrelativistic and relativistic descriptions of proton-nucleus scattering
journal, April 1992
- Ray, L.; Hoffmann, G. W.; Coker, W. R.
- Physics Reports, Vol. 212, Issue 5
Covariant Density Functional Theory in Nuclear Physics and Astrophysics
journal, October 2020
- Yang, Junjie; Piekarewicz, J.
- Annual Review of Nuclear and Particle Science, Vol. 70, Issue 1
A Skyrme parametrization from subnuclear to neutron star densities
journal, December 1997
- Chabanat, E.; Bonche, P.; Haensel, P.
- Nuclear Physics A, Vol. 627, Issue 4
Density dependence of the symmetry energy from neutron skin thickness in finite nuclei
journal, February 2014
- Viñas, X.; Centelles, M.; Roca-Maza, X.
- The European Physical Journal A, Vol. 50, Issue 2
Extraction of neutron densities from elastic proton scattering by at 650 MeV
journal, April 1994
- Starodubsky, V. E.; Hintz, N. M.
- Physical Review C, Vol. 49, Issue 4
Symmetry energy in nuclear density functional theory
journal, February 2014
- Nazarewicz, W.; Reinhard, P. -G.; Satuła, W.
- The European Physical Journal A, Vol. 50, Issue 2
Neutron density distributions of deduced via proton elastic scattering at MeV
journal, October 2010
- Zenihiro, J.; Sakaguchi, H.; Murakami, T.
- Physical Review C, Vol. 82, Issue 4
Elliptic flow and the Symmetry Energy at Supra-Saturation Density
journal, June 2012
- Trautmann, W.; Wolter, H. H.
- International Journal of Modern Physics E, Vol. 21, Issue 06
Constraints on the symmetry energy using the mass-radius relation of neutron stars
journal, February 2014
- Lattimer, James M.; Steiner, Andrew W.
- The European Physical Journal A, Vol. 50, Issue 2
Towards understanding astrophysical effects of nuclear symmetry energy
journal, July 2019
- Li, Bao-An; Krastev, Plamen G.; Wen, De-Hua
- The European Physical Journal A, Vol. 55, Issue 7
Neutron skins of atomic nuclei: per aspera ad astra
journal, August 2019
- Thiel, M.; Sfienti, C.; Piekarewicz, J.
- Journal of Physics G: Nuclear and Particle Physics, Vol. 46, Issue 9
Excitation of Isovector Spin-Dipole Resonances and Neutron Skin of Nuclei
journal, April 1999
- Krasznahorkay, A.; Fujiwara, M.; van Aarle, P.
- Physical Review Letters, Vol. 82, Issue 16
Isospin splitting of the nucleon effective mass from giant resonances in
journal, March 2016
- Zhang, Zhen; Chen, Lie-Wen
- Physical Review C, Vol. 93, Issue 3
Nuclear equation of state from ground and collective excited state properties of nuclei
journal, July 2018
- Roca-Maza, X.; Paar, N.
- Progress in Particle and Nuclear Physics, Vol. 101
Nuclear symmetry energy and neutron skins derived from pygmy dipole resonances
journal, November 2007
- Klimkiewicz, A.; Paar, N.; Adrich, P.
- Physical Review C, Vol. 76, Issue 5
Nuclear matter symmetry energy and the neutron skin thickness of heavy nuclei
journal, December 2005
- Chen, Lie-Wen; Ko, Che Ming; Li, Bao-An
- Physical Review C, Vol. 72, Issue 6
Neutron-Rich Nuclei and Neutron Stars: A New Accurately Calibrated Interaction for the Study of Neutron-Rich Matter
journal, September 2005
- Todd-Rutel, B. G.; Piekarewicz, J.
- Physical Review Letters, Vol. 95, Issue 12
Nuclear symmetry energy and neutron skin thickness of 208 Pb using a finite range effective interaction
journal, September 2020
- Behera, D.; Tripathy, S. K.; Routray, T. R.
- Physica Scripta, Vol. 95, Issue 10
A way forward in the study of the symmetry energy: experiment, theory, and observation
journal, July 2014
- Horowitz, C. J.; Brown, E. F.; Kim, Y.
- Journal of Physics G: Nuclear and Particle Physics, Vol. 41, Issue 9
Isospin diffusion in heavy-ion collisions and the neutron skin thickness of lead
journal, October 2005
- Steiner, Andrew W.; Li, Bao-An
- Physical Review C, Vol. 72, Issue 4
The Equation of State of Nuclear Matter: From Finite Nuclei to Neutron Stars
journal, August 2020
- Burgio, G. Fiorella; Vidaña, Isaac
- Universe, Vol. 6, Issue 8