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Lagrange-Mesh Method for Deformed Nuclei With Relativistic Energy Density Functionals

Typel, Stefan (2018)
Lagrange-Mesh Method for Deformed Nuclei With Relativistic Energy Density Functionals.
In: Frontiers in Physics, 6
doi: 10.3389/fphy.2018.00073
Artikel, Bibliographie

Dies ist die neueste Version dieses Eintrags.

Kurzbeschreibung (Abstract)

The application of relativistic energy density functionals to the description of nuclei leads to the problem of solving self-consistently a coupled set of equations of motion to determine the nucleon wave functions and meson fields. In this work, the Lagrange-mesh method in spherical coordinates is proposed for numerical calculations. The essential field equations are derived from the relativistic energy density functional and the basic principles of the Lagrange-mesh method are delineated for this particular application. The numerical accuracy is studied for the case of a deformed relativistic harmonic oscillator potential with axial symmetry. Then the method is applied to determine the point matter distributions and deformation parameters of self-conjugate even-even nuclei from ⁴He to ⁴⁰Ca.

Typ des Eintrags: Artikel
Erschienen: 2018
Autor(en): Typel, Stefan
Art des Eintrags: Bibliographie
Titel: Lagrange-Mesh Method for Deformed Nuclei With Relativistic Energy Density Functionals
Sprache: Englisch
Publikationsjahr: 6 August 2018
Verlag: Frontiers Media
Titel der Zeitschrift, Zeitung oder Schriftenreihe: Frontiers in Physics
Jahrgang/Volume einer Zeitschrift: 6
Kollation: 18 Seiten
DOI: 10.3389/fphy.2018.00073
URL / URN: https://www.frontiersin.org/articles/10.3389/fphy.2018.00073...
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Kurzbeschreibung (Abstract):

The application of relativistic energy density functionals to the description of nuclei leads to the problem of solving self-consistently a coupled set of equations of motion to determine the nucleon wave functions and meson fields. In this work, the Lagrange-mesh method in spherical coordinates is proposed for numerical calculations. The essential field equations are derived from the relativistic energy density functional and the basic principles of the Lagrange-mesh method are delineated for this particular application. The numerical accuracy is studied for the case of a deformed relativistic harmonic oscillator potential with axial symmetry. Then the method is applied to determine the point matter distributions and deformation parameters of self-conjugate even-even nuclei from ⁴He to ⁴⁰Ca.

Zusätzliche Informationen:

Erstveröffentlichung; Art.No.: 73

Fachbereich(e)/-gebiet(e): 05 Fachbereich Physik
05 Fachbereich Physik > Institut für Kernphysik
05 Fachbereich Physik > Institut für Kernphysik > Theoretische Kernphysik
05 Fachbereich Physik > Institut für Kernphysik > Theoretische Kernphysik > Kern- und Vielteilchenphysik
Hinterlegungsdatum: 02 Jun 2020 09:55
Letzte Änderung: 05 Mär 2024 11:17
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