https://doi.org/10.1140/epja/s10050-023-01209-y
Regular Article - Theoretical Physics
Mic–Mac model based on the Wigner–Kirkwood method
1
UM-DAE Centre for Excellence in Basic Sciences, 400 098, Mumbai, India
2
Departament de Física Quàntica i Astrofísica (FQA), Universitat de Barcelona (UB), Martí i Franquès 1, 08028, Barcelona, Spain
3
Institut de Ciències del Cosmos (ICCUB), Universitat de Barcelona (UB), Martí i Franquès 1, 08028, Barcelona, Spain
4
Institut Menorquí d’Estudis, Camí des Castell 28, 07702, Maó, Spain
5
Department of Nuclear Physics, KTH (Royal Institute of Technology), Alba Nova University Center, 10691, Stockholm, Sweden
Received:
13
August
2023
Accepted:
29
November
2023
Published online:
19
December
2023
About a decade ago we proposed a new Microscopic–Macroscopic (Mic–Mac) model where the semiclassical Wigner–Kirkwood expansion of the energy up to fourth-order in 
is used to compute the shell corrections in a deformed Woods-Saxon potential instead of the usual Strutinsky averaging scheme [1, 2]. For a set of 551 even-even nuclei computed with this new model, we found a rms deviation of 610 keV from the experimental masses, similar to the value obtained using the well-known Finite Range Droplet Model and the Lublin–Strasbourg Drop Model for the same set of nuclei. In a next step, we compute the ground-state properties of these 551 nuclei with the same method but using the mean-field provided by the Gogny forces within an Extended Thomas-Fermi approximation. We find that this Mic–Mac model using the Gogny D1S (D1M) force gives a fairly good description of the ground-state energies with a rms deviation of 834 keV (819 keV). This implies that Mic–Mac models based on effective two-body forces, for example Gogny D1S and D1M interactions, perform practically as well as the most efficient Mic–Mac models regarding ground-state properties.
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