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Uncertainties in ab initio nuclear structure calculations with chiral interactions

Maris, P. ; Le, H. ; Nogga, A. ; Roth, R. ; Vary, J. P. (2023)
Uncertainties in ab initio nuclear structure calculations with chiral interactions.
In: Frontiers in Physics, 2023, 11
doi: 10.26083/tuprints-00023629
Artikel, Zweitveröffentlichung, Verlagsversion

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Kurzbeschreibung (Abstract)

We present theoretical ground state energies and their uncertainties for p-shell nuclei obtained from chiral effective field theory internucleon interactions as a function of chiral order, fitted to two- and three-body data only. We apply a Similary Renormalization Group transformation to improve the numerical convergence of the many-body calculations, and discuss both the numerical uncertainties arising from basis truncations and those from omitted induced many-body forces, as well as chiral truncation uncertainties. With complete Next-to-Next-to-Leading (N²LO) order two- and three-body interactions, we find significant overbinding for the ground states in the upper p-shell, but using higher-order two-body potentials, in combination with N²LO three-body forces, our predictions agree with experiment throughout the p-shell to within our combined estimated uncertainties. The uncertainties due to chiral order truncation are noticeably larger than the numerical uncertainties, but they are expected to become comparable to the numerical uncertainties at complete N³LO.

Typ des Eintrags: Artikel
Erschienen: 2023
Autor(en): Maris, P. ; Le, H. ; Nogga, A. ; Roth, R. ; Vary, J. P.
Art des Eintrags: Zweitveröffentlichung
Titel: Uncertainties in ab initio nuclear structure calculations with chiral interactions
Sprache: Englisch
Publikationsjahr: 2023
Ort: Darmstadt
Publikationsdatum der Erstveröffentlichung: 2023
Verlag: Frontiers Media S.A.
Titel der Zeitschrift, Zeitung oder Schriftenreihe: Frontiers in Physics
Jahrgang/Volume einer Zeitschrift: 11
Kollation: 16 Seiten
DOI: 10.26083/tuprints-00023629
URL / URN: https://tuprints.ulb.tu-darmstadt.de/23629
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Herkunft: Zweitveröffentlichung DeepGreen
Kurzbeschreibung (Abstract):

We present theoretical ground state energies and their uncertainties for p-shell nuclei obtained from chiral effective field theory internucleon interactions as a function of chiral order, fitted to two- and three-body data only. We apply a Similary Renormalization Group transformation to improve the numerical convergence of the many-body calculations, and discuss both the numerical uncertainties arising from basis truncations and those from omitted induced many-body forces, as well as chiral truncation uncertainties. With complete Next-to-Next-to-Leading (N²LO) order two- and three-body interactions, we find significant overbinding for the ground states in the upper p-shell, but using higher-order two-body potentials, in combination with N²LO three-body forces, our predictions agree with experiment throughout the p-shell to within our combined estimated uncertainties. The uncertainties due to chiral order truncation are noticeably larger than the numerical uncertainties, but they are expected to become comparable to the numerical uncertainties at complete N³LO.

Freie Schlagworte: chiral effective field theory, nucleon-nucleon interactions, three-nucleon interactions, yakubovsky, no-core shell model, uncertainty quantification
Status: Verlagsversion
URN: urn:nbn:de:tuda-tuprints-236299
Sachgruppe der Dewey Dezimalklassifikatin (DDC): 500 Naturwissenschaften und Mathematik > 530 Physik
Fachbereich(e)/-gebiet(e): 05 Fachbereich Physik
05 Fachbereich Physik > Institut für Kernphysik
Hinterlegungsdatum: 11 Apr 2023 11:49
Letzte Änderung: 13 Apr 2023 14:43
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