No-core shell model in an effective-field-theory framework

Stetcu, I.; Barrett, B. R.; Kolck, U. van

doi:10.1016/j.physletb.2007.07.065

Cited by 111 publications

(189 citation statements)

References 33 publications

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“…We compute the ground-state energies of the nuclei 16,22,24 O using the nextto-next-to-leading order chiral nucleon-nucleon interaction of Ref. [9] with a cutoff Λ χ = 500 MeV.…”

Section: Extrapolations and The Coupled-cluster Methodsmentioning

confidence: 99%

“…It is similar in quality to the chiral nucleon-nucleon interaction NNLO opt [31], which was optimized with respect to phase shifts. Figure 3 shows the CCSD ground state energies for 16 O as a function of L eff (left figure) and Ω (right figure) for model spaces with N = 8, 10, 12. Our model spaces have oscillator frequencies in the interval Ω/(MeV) ∈ [16,70].…”

Section: Extrapolations and The Coupled-cluster Methodsmentioning

confidence: 99%

“…4 16 O N=8 N=10 N=12 Figure 4. Left: energy difference ∆E for the ground-state energy (in CCSD approximation) of 16 O as a function of L eff in a log plot. The symbols are as in Fig.…”

Section: Extrapolations and The Coupled-cluster Methodsmentioning

confidence: 99%

“…The leading-order estimates for these cutoffs are based on L ≈ √ 2N b and Λ UV ≈ √ 2N /b, respectively [16,17,18]. Clearly, L and Λ UV are semiclassical estimates for the extent of the oscillator basis in position and momentum space, respectively.…”

Section: Infrared Cutoffs Of the Oscillator Basismentioning

confidence: 99%

“…For reasons we do not yet understand, the approximate L eff (middle panel) leads to the smoothest line in 16 O, while the exact L eff yields the smoothest line in 24 O. Table 1 gives N eff for isotopes 12,14 C and 16,22,24 O. These results are determined by diagonalizing the operator A i=1 p 2 i in the specified model space.…”

Section: Box Size L Eff (N ω) For Nucleimentioning

confidence: 99%

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Infrared extrapolations for atomic nuclei

Furnstahl

Hagen

Papenbrock

et al. 2015

J. Phys. G: Nucl. Part. Phys.

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Abstract. Harmonic oscillator model-space truncations introduce systematic errors to the calculation of binding energies and other observables. We identify the relevant infrared 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 infrared component of the error is sufficiently understood to permit controlled extrapolations. By employing oscillator spaces with relatively large frequencies, well above the energy minimum, the ultraviolet corrections can be suppressed while infrared 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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“…We compute the ground-state energies of the nuclei 16,22,24 O using the nextto-next-to-leading order chiral nucleon-nucleon interaction of Ref. [9] with a cutoff Λ χ = 500 MeV.…”

Section: Extrapolations and The Coupled-cluster Methodsmentioning

confidence: 99%

Section: Extrapolations and The Coupled-cluster Methodsmentioning

confidence: 99%

“…4 16 O N=8 N=10 N=12 Figure 4. Left: energy difference ∆E for the ground-state energy (in CCSD approximation) of 16 O as a function of L eff in a log plot. The symbols are as in Fig.…”

Section: Extrapolations and The Coupled-cluster Methodsmentioning

confidence: 99%

Section: Infrared Cutoffs Of the Oscillator Basismentioning

confidence: 99%