Quadrupole–hexadecapole coupling in the rare earth region with beyond mean field correlations
Rodríguez-Guzmán R. Robledo L.M.
July 2025Springer
European Physical Journal A
2025#61Issue 7
The roles of static hexadecapole deformation and beyond-mean-field quadrupole–hexadecapole configuration mixing are studied for a selected set of Yb, Hf, W and Os isotopes within the mass range 170≤A≤202, using the Hartree–Fock–Bogoliubov (HFB) and the two-dimensional Generator Coordinate Method (2D-GCM) approaches, based on the Gogny energy density functional. The 2D-GCM ground and excited states of the lighter isotopes are associated with diamond-like shapes while, for each isotopic chain, a region where those states correspond to square-like shapes has been found below the neutron shell closure N=126. It is shown, that for the studied nuclei the quadrupole and hexadecapole degrees of freedom are interwoven in the ground and excited states up to the mass number A=184-188. This structural evolution, encoded in the 2D-GCM collective wave functions, is accompanied by an enhanced prolate-oblate shape coexistence around the neutron number N=116. In agreement with previous studies, it is also shown that for the considered Yb, Hf, W and Os isotopes the inclusion of hexadecapole deformation in the ground state dynamics leads to a non trivial additional correlation energy comparable to the quadrupole correlation energy itself.
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Department of Physics, School of Sciencies and Humanities, Nazarbayev University, 53 Kabanbay Batyr Ave., Astana, 010000, Kazakhstan
Center for Computational Simulation, Universidad Politécnica de Madrid, Campus Montegancedo, Boadilla del Monte, Madrid, 28660, Spain
Departamento de Física Teórica and CIAFF, Universidad Autónoma de Madrid, Madrid, 28049, Spain
Department of Physics
Center for Computational Simulation
Departamento de Física Teórica and CIAFF
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