Beyond the charge radius: The information content of the fourth radial moment
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 cal- culations, 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 $$\langle r^4\rangle$$ by means of nuclear density functional theory and a multiple correlation analysis. We show that $$\langle r^4\rangle$$ 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.
- Publication Date:
- Research Org.:
- Michigan State Univ., East Lansing, MI (United States)
- Sponsoring Org.:
- USDOE Office of Science (SC), Nuclear Physics (NP)
- OSTI Identifier:
- 1598074
- Alternate Identifier(s):
- OSTI ID: 1615732
- Grant/Contract Number:
- SC0013365; SC0018083; SC0008511
- Resource Type:
- Published Article
- Journal Name:
- Physical Review. C
- Additional Journal Information:
- Journal Name: Physical Review. C Journal Volume: 101 Journal Issue: 2; Journal ID: ISSN 2469-9985
- Publisher:
- American Physical Society (APS)
- Country of Publication:
- United States
- Language:
- English
- Subject:
- 73 NUCLEAR PHYSICS AND RADIATION PHYSICS; charge distributions; nuclear structure & decays; nuclear density functional theory; nuclear physics
Citation Formats
Reinhard, P. -G., Nazarewicz, W., and Garcia Ruiz, R. F. Beyond the charge radius: The information content of the fourth radial moment. United States: N. p., 2020.
Web. doi:10.1103/PhysRevC.101.021301.
Reinhard, P. -G., Nazarewicz, W., & Garcia Ruiz, R. F. Beyond the charge radius: The information content of the fourth radial moment. United States. https://doi.org/10.1103/PhysRevC.101.021301
Reinhard, P. -G., Nazarewicz, W., and Garcia Ruiz, R. F. Thu .
"Beyond the charge radius: The information content of the fourth radial moment". United States. https://doi.org/10.1103/PhysRevC.101.021301.
@article{osti_1598074,
title = {Beyond the charge radius: The information content of the fourth radial moment},
author = {Reinhard, P. -G. and Nazarewicz, W. and Garcia Ruiz, R. F.},
abstractNote = {Measurements of atomic transitions in different isotopes offer key information on the nuclear charge radius. The anticipated high-precision experimental techniques, augmented by atomic cal- culations, 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 $\langle r^4\rangle$ by means of nuclear density functional theory and a multiple correlation analysis. We show that $\langle r^4\rangle$ 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.},
doi = {10.1103/PhysRevC.101.021301},
journal = {Physical Review. C},
number = 2,
volume = 101,
place = {United States},
year = {Thu Feb 06 00:00:00 EST 2020},
month = {Thu Feb 06 00:00:00 EST 2020}
}
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https://doi.org/10.1103/PhysRevC.101.021301
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