Quadrupole-hexadecapole correlations in neutron-rich samarium and gadolinium isotopes
Lotina L. Nomura K. Rodríguez-Guzmán R. Robledo L.M.
February 2025American Physical Society
Physical Review C
2025#111Issue 2
We present an extensive study of quadrupole-hexadecapole correlation effects in even-even Sm and Gd isotopes with neutron number N=88-106. The calculations are performed in the framework of the Gogny energy density functional (EDF) with the D1S parametrization and the sdg interacting boson model (IBM). The quadrupole-hexadecapole constrained self-consistent mean-field potential energy surface is mapped onto the expectation value of the sdg-boson Hamiltonian. This procedure determines the parameters of the sdg-IBM Hamiltonian microscopically. Calculated excitation energies and transition strengths are compared to the ones obtained with a simpler sd-IBM, as well as with the experimental data. The Gogny-EDF mapped sdg-IBM reproduces spectroscopic properties of the studied nuclei as reasonably as in the case of the previous sdg-boson mapping calculations that were based on the relativistic EDF, indicating that the axial quadrupole-hexadecapole method is sound regardless of whether relativistic or nonrelativistic EDF is employed. The mapped sdg-IBM improves some of the results in lighter Sm and Gd isotopes compared to the mapped sd-IBM, implying the existence of significant hexadecapole correlations in those nuclei. For those nuclei with N≥94, hexadecapole effects are minor, and the only significant difference between the two boson models can be found in the description of E0 monopole transitions.
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Department of Physics, Faculty of Science, University of Zagreb, Zagreb, HR-10000, Croatia
Departamento de Física Teórica and CIAFF, Universidad Autónoma de Madrid, Madrid, E-28049, Spain
Department of Physics, Hokkaido University, Sapporo, 060-0810, Japan
Nuclear Reaction Data Center, Hokkaido University, Sapporo, 060-0810, Japan
Department of Physics, Nazarbayev University, 53 Kabanbay Batyr Avenue, Astana, 010000, Kazakhstan
Center for Computational Simulation, Universidad Politécnica de Madrid, Campus de Montegancedo, Bohadilla del Monte, Madrid, E-28660, Spain
Department of Physics
Departamento de Física Teórica and CIAFF
Department of Physics
Nuclear Reaction Data Center
Department of Physics
Center for Computational Simulation
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