Typel, Stefan (2023)
Lagrange-Mesh Method for Deformed Nuclei With Relativistic Energy Density Functionals.
In: Frontiers in Physics, 2018, 6
doi: 10.26083/tuprints-00016218
Artikel, Zweitveröffentlichung, Verlagsversion
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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.
Typ des Eintrags: | Artikel |
---|---|
Erschienen: | 2023 |
Autor(en): | Typel, Stefan |
Art des Eintrags: | Zweitveröffentlichung |
Titel: | Lagrange-Mesh Method for Deformed Nuclei With Relativistic Energy Density Functionals |
Sprache: | Englisch |
Publikationsjahr: | 8 Dezember 2023 |
Ort: | Darmstadt |
Publikationsdatum der Erstveröffentlichung: | 2018 |
Ort der Erstveröffentlichung: | Lausanne |
Verlag: | Frontiers Media S.A. |
Titel der Zeitschrift, Zeitung oder Schriftenreihe: | Frontiers in Physics |
Jahrgang/Volume einer Zeitschrift: | 6 |
Kollation: | 18 Seiten |
DOI: | 10.26083/tuprints-00016218 |
URL / URN: | https://tuprints.ulb.tu-darmstadt.de/16218 |
Zugehörige Links: | |
Herkunft: | Zweitveröffentlichung DeepGreen |
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. |
Freie Schlagworte: | Lagrange-mesh method, relativistic energy density functional, density-dependent couplings, deformed nuclei, relativistic harmonic oscillator, Dirac equation |
Status: | Verlagsversion |
URN: | urn:nbn:de:tuda-tuprints-162187 |
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: | 08 Dez 2023 14:47 |
Letzte Änderung: | 05 Mär 2024 11:10 |
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- Lagrange-Mesh Method for Deformed Nuclei With Relativistic Energy Density Functionals. (deposited 08 Dez 2023 14:47) [Gegenwärtig angezeigt]
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