Shape transitions and collective behaviour of Er and Yb isotopes based on relativistic energy density functional theory
Published:
Feb 24, 2026
Keywords:
Nuclear structure theory Relativistic density functionals Shape transitions
Abstract
In this work a collective Hamiltonian based on relativistic energy density functional calculations has been used to study the basic spectroscopic properties of Er and Yb isotopes with 82 < đ < 114. Starting from a series of shape constrained calculations, we build a Bohr-type Hamiltonian the diagonalisation of which gives the collective excitations and transition probabilities. We are thus able to follow the transition of shapes, which is established through projected energy surfaces and specific spectroscopic quantities such as energy ratios and the structure of the low lying excited states.
Article Details
- How to Cite
-
Karakatsanis, K., Mertzimekis, T. J., & Koseoglou, P. (2026). Shape transitions and collective behaviour of Er and Yb isotopes based on relativistic energy density functional theory. HNPS Advances in Nuclear Physics, 32, 32â41. https://doi.org/10.12681/hnpsanp.8896
- Issue
- Vol. 32 (2026): HNPS2025
- Section
- Oral contributions

This work is licensed under a Creative Commons Attribution-NonCommercial-NoDerivatives 4.0 International License.
References
P. Ring. âRelativistic mean field theory in finite nucleiâ. In: Prog. Part. Nucl. Phys. 37 (1996), pp. 193â263. issn: 0146-6410. doi: 10.1016/0146-6410(96)00054-3
B. D. Serot. âA relativistic nuclear field theory with pi and rho mesonsâ. In: Phys. Lett. B 86.2 (1979), pp. 146 â150. issn: 0370-2693. doi: 10.1016/0370-2693(79)90804-9
B. D. Serot and J. D. Walecka. âThe relativistic nuclear many-body problemâ. In: Adv. Nucl. Phys. 16 (1986). Ed. by J. W. Negele and E. Vogt, pp. 1â327
Y. Tian, Z. Y. Ma, and P. Ring. âA finite range pairing force for density functional theory in superfluid nucleiâ. In: Phys. Lett. B 676 (2009), p. 44. doi: 10.1016/j.physletb.2009.04.067
Y. Tian, Z. Y. Ma, and P. Ring. âSeparable Pairing Force for Relativistic Quasiparticle Random Phase Approximationâ. In: Phys. Rev. C 79 (2009), p. 064301. doi: 10.1103/PhysRevC.79.064301
G. A. Lalazissis, T. NikĆĄiÄ, D. Vretenar, and P. Ring. âNew relativistic mean field interaction with density dependent meson couplingsâ. In: Phys. Rev. C 71 (2005), p. 024312. doi: 10.1103/PhysRevC.71.024312
T. NikĆĄiÄ, N. Paar, D. Vretenar, and P. Ring. âDIRHB - a relativistic self-consistent mean-field framework for atomic nucleiâ. In: Comp. Phys. Comm. 185.6 (2014), pp. 1808 â1821. issn: 0010-4655. doi: 10.1016/j.cpc.2014.02.027
T. NikĆĄiÄ, Z. P. Li, D. Vretenar, L. Prochniak, J. Meng, and P. Ring. âBeyond the relativistic mean-field approximation. III. Collective Hamiltonian in five dimensionsâ. In: Phys. Rev. C 79 (3 2009), p. 034303. doi: 10.1103/PhysRevC.79.034303
P. Ring and P. Schuck. The Nuclear Many-Body Problem. Berlin: Springer-Verlag, 1980
National Nuclear Data Center. Evaluated Nuclear Structure Data File (ENSDF). https://www.nndc.bnl.gov/ensdf/. Accessed: April 15,