Global Microscopic Description of Nucleon-Nucleus Scattering with Quantified Uncertainties

T. R. Whitehead; Y. Lim; J. W. Holt

doi:10.1103/PhysRevLett.127.182502

Global Microscopic Description of Nucleon-Nucleus Scattering with Quantified Uncertainties

T. R. Whitehead, Y. Lim, J. W. Holt

Department of Science Education

Research output: Contribution to journal › Article › peer-review

16 Scopus citations

Abstract

We develop for the first time a microscopic global nucleon-nucleus optical potential with quantified uncertainties suitable for analyzing nuclear reaction experiments at next-generation rare-isotope beam facilities. Within the improved local density approximation and without any adjustable parameters, we begin by computing proton-nucleus and neutron-nucleus optical potentials from a set of five nuclear forces from chiral effective field theory for 1800 target nuclei in the mass range for energies between . We then parameterize a global optical potential for each chiral force that depends smoothly on the projectile energy as well as the target nucleus mass number and isospin asymmetry. Uncertainty bands for elastic scattering observables are generated from a full covariance analysis of the parameters entering in the description of our global optical potential and benchmarked against existing experimental data for stable target nuclei. Since our approach is purely microscopic, we anticipate a similar quality of the model for nucleon scattering on unstable isotopes.

Original language	English
Article number	182502
Journal	Physical Review Letters
Volume	127
Issue number	18
DOIs	https://doi.org/10.1103/PhysRevLett.127.182502
State	Published - 29 Oct 2021

Bibliographical note

Funding Information:
National Science Foundation U.S. Department of Energy Max-Planck-Gesellschaft Deutsche Forschungsgemeinschaft Ewha Womans University

Funding Information:
The authors thank H. Arellano for helpful comments on the manuscript. T. R. W. thanks C. Drischler for insightful discussions. Work supported by the National Science Foundation under Grant No. PHY1652199 and by the U.S. Department of Energy National Nuclear Security Administration under Grant No. DE-NA0003841. Y. L. was supported by the Max Planck Society and the Deutsche Forschungsgemeinschaft (DFG, German Research Foundation) Project ID 279384907 SFB 1245 and by Ewha Womans University Research Grant of 2021 (1-2021-0520-001-1). Portions of this research were conducted with the advanced computing resources provided by Texas A&M High Performance Research Computing and the Whitehead cluster.

Publisher Copyright:
© 2021 American Physical Society

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10.1103/PhysRevLett.127.182502

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title = "Global Microscopic Description of Nucleon-Nucleus Scattering with Quantified Uncertainties",

abstract = "We develop for the first time a microscopic global nucleon-nucleus optical potential with quantified uncertainties suitable for analyzing nuclear reaction experiments at next-generation rare-isotope beam facilities. Within the improved local density approximation and without any adjustable parameters, we begin by computing proton-nucleus and neutron-nucleus optical potentials from a set of five nuclear forces from chiral effective field theory for 1800 target nuclei in the mass range for energies between . We then parameterize a global optical potential for each chiral force that depends smoothly on the projectile energy as well as the target nucleus mass number and isospin asymmetry. Uncertainty bands for elastic scattering observables are generated from a full covariance analysis of the parameters entering in the description of our global optical potential and benchmarked against existing experimental data for stable target nuclei. Since our approach is purely microscopic, we anticipate a similar quality of the model for nucleon scattering on unstable isotopes.",

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note = "Funding Information: National Science Foundation U.S. Department of Energy Max-Planck-Gesellschaft Deutsche Forschungsgemeinschaft Ewha Womans University Funding Information: The authors thank H. Arellano for helpful comments on the manuscript. T. R. W. thanks C. Drischler for insightful discussions. Work supported by the National Science Foundation under Grant No. PHY1652199 and by the U.S. Department of Energy National Nuclear Security Administration under Grant No. DE-NA0003841. Y. L. was supported by the Max Planck Society and the Deutsche Forschungsgemeinschaft (DFG, German Research Foundation) Project ID 279384907 SFB 1245 and by Ewha Womans University Research Grant of 2021 (1-2021-0520-001-1). Portions of this research were conducted with the advanced computing resources provided by Texas A&M High Performance Research Computing and the Whitehead cluster. Publisher Copyright: {\textcopyright} 2021 American Physical Society",

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Global Microscopic Description of Nucleon-Nucleus Scattering with Quantified Uncertainties

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