Infrared extrapolations for atomic nuclei
Abstract
Harmonic oscillator model-space truncations introduce systematic errors to the calculation of binding energies and other observables. We identify the relevant infrared (IR) scaling variable and give values for this nucleus-dependent quantity. We consider isotopes of oxygen computed with the coupled-cluster method from chiral nucleon–nucleon interactions at next-to-next-to-leading order and show that the IR component of the error is sufficiently understood to permit controlled extrapolations. By employing oscillator spaces with relatively large frequencies, that are well above the energy minimum, the ultraviolet corrections can be suppressed while IR extrapolations over tens of MeVs are accurate for ground-state energies. However, robust uncertainty quantification for extrapolated quantities that fully accounts for systematic errors is not yet developed.
- Authors:
-
- The Ohio State Univ., Columbus, OH (United States)
- Oak Ridge National Lab. (ORNL), Oak Ridge, TN (United States)
- Publication Date:
- Research Org.:
- Oak Ridge National Lab. (ORNL), Oak Ridge, TN (United States). Oak Ridge Leadership Computing Facility (OLCF)
- Sponsoring Org.:
- National Science Foundation (NSF); USDOE Office of Science (SC), Nuclear Physics (NP)
- OSTI Identifier:
- 1265771
- Grant/Contract Number:
- AC05-00OR22725; PHY-1306250; FG02-96ER40963; SC0008499; SC0008533; ERKBP57
- Resource Type:
- Accepted Manuscript
- Journal Name:
- Journal of Physics. G, Nuclear and Particle Physics
- Additional Journal Information:
- Journal Volume: 42; Journal Issue: 3; Journal ID: ISSN 0954-3899
- Publisher:
- IOP Publishing
- Country of Publication:
- United States
- Language:
- English
- Subject:
- 73 NUCLEAR PHYSICS AND RADIATION PHYSICS
Citation Formats
Furnstahl, R. J., Hagen, Gaute, Papenbrock, Thomas F., and Wendt, Kyle A. Infrared extrapolations for atomic nuclei. United States: N. p., 2015.
Web. doi:10.1088/0954-3899/42/3/034032.
Furnstahl, R. J., Hagen, Gaute, Papenbrock, Thomas F., & Wendt, Kyle A. Infrared extrapolations for atomic nuclei. United States. https://doi.org/10.1088/0954-3899/42/3/034032
Furnstahl, R. J., Hagen, Gaute, Papenbrock, Thomas F., and Wendt, Kyle A. Thu .
"Infrared extrapolations for atomic nuclei". United States. https://doi.org/10.1088/0954-3899/42/3/034032. https://www.osti.gov/servlets/purl/1265771.
@article{osti_1265771,
title = {Infrared extrapolations for atomic nuclei},
author = {Furnstahl, R. J. and Hagen, Gaute and Papenbrock, Thomas F. and Wendt, Kyle A.},
abstractNote = {Harmonic oscillator model-space truncations introduce systematic errors to the calculation of binding energies and other observables. We identify the relevant infrared (IR) scaling variable and give values for this nucleus-dependent quantity. We consider isotopes of oxygen computed with the coupled-cluster method from chiral nucleon–nucleon interactions at next-to-next-to-leading order and show that the IR component of the error is sufficiently understood to permit controlled extrapolations. By employing oscillator spaces with relatively large frequencies, that are well above the energy minimum, the ultraviolet corrections can be suppressed while IR extrapolations over tens of MeVs are accurate for ground-state energies. However, robust uncertainty quantification for extrapolated quantities that fully accounts for systematic errors is not yet developed.},
doi = {10.1088/0954-3899/42/3/034032},
journal = {Journal of Physics. G, Nuclear and Particle Physics},
number = 3,
volume = 42,
place = {United States},
year = {Thu Feb 05 00:00:00 EST 2015},
month = {Thu Feb 05 00:00:00 EST 2015}
}
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