Beyond the charge radius: The information content of the fourth radial moment
Name
PhysRevC.101.021301.pdf
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401.64 KB
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Author(s)
Reinhard, P.-G.
Nazarewicz, W.
Garcia Ruiz, Ronald Fernando
Date Issued
February 2020
Journal
Physical Review C
Publisher
American Physical Society (APS)
Citation
Reinhard, P.-G., W. Nazarewicz, and R. F. Garcia Ruiz. "Beyond the charge radius: The information content of the fourth radial moment." Physical Review C, 101, 2 (February 2020): 021301)R).
Version
Final published version
Abstract
Measurements of atomic transitions in different isotopes offer key information on the nuclear charge radius. The anticipated high-precision experimental techniques, augmented by atomic calculations, will soon enable extraction of the higher order radial moments of the charge density distribution. To assess the value of such measurements for nuclear structure research, we study the information content of the fourth radial moment ⟨r^{4}⟩ by means of nuclear density functional theory and a multiple correlation analysis. We show that ⟨r^{4}⟩ can be directly related to the surface thickness of nuclear density, a fundamental property of the atomic nucleus that is difficult to obtain for radioactive systems. Precise knowledge of these radial moments is essential to establish reliable constraints on the existence of new forces from precision isotope shift measurements.
MIT Department
Massachusetts Institute of Technology. Department of Physics
Terms of Use
Creative Commons Attribution 3.0 unported license
Persistent DSpace Link
DOI of Published Version
https://doi.org/10.1103/PhysRevC.101.021301
