Infrared extrapolations for atomic nuclei

Furnstahl, R. J.; Hagen, Gaute; Papenbrock, Thomas F.; Wendt, Kyle A.

doi:10.1088/0954-3899/42/3/034032

Title: Infrared extrapolations for atomic nuclei

Journal Article · Thu Feb 05 00:00:00 EST 2015 · Journal of Physics. G, Nuclear and Particle Physics

DOI:https://doi.org/10.1088/0954-3899/42/3/034032· OSTI ID:1265771

Furnstahl, R. J. ^[1]; Hagen, Gaute ^[2]; Papenbrock, Thomas F. ^[2]; Wendt, Kyle A. ^[2]

The Ohio State Univ., Columbus, OH (United States)
Oak Ridge National Lab. (ORNL), Oak Ridge, TN (United States)

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.

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Research Organization:: Oak Ridge National Lab. (ORNL), Oak Ridge, TN (United States). Oak Ridge Leadership Computing Facility (OLCF)

Sponsoring Organization:: National Science Foundation (NSF); USDOE Office of Science (SC), Nuclear Physics (NP)

Grant/Contract Number:: AC05-00OR22725; PHY-1306250; FG02-96ER40963; SC0008499; SC0008533; ERKBP57

OSTI ID:: 1265771

Journal Information:: Journal of Physics. G, Nuclear and Particle Physics, Vol. 42, Issue 3; ISSN 0954-3899

Publisher:: IOP PublishingCopyright Statement

Country of Publication:: United States

Language:: English

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Cited by: 34 works

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