10TH International workshop on quantum phase transitions in nuclei and many-body systems

Shape coexistence and mixing within the Bohr model

11 Jul 2022, 17:55

20m

IUC

Density functional and beyond-mean-field approaches to QPTs in nuclei Density functional and beyond-mean-field approaches to QPTs in nuclei

Speaker

Petrica Buganu

Description

The Bohr Hamiltonian [1,2] with a sextic potential, having two minima, a spherical and a deformed one separated by a barrier, was diagonalized in a basis of Bessel functions of the first kind [3]. The model, depending on the height of the potential barrier (Panels 1-4 of Figure 1 from [4]), can describe the well-known critical points from spherical vibrator to prolate / γ-unstable rotor if the barrier is very small / absent, a shape evolution as a function of the total angular momentum, respectively the shape coexistence and mixing phenomena once the barrier is gradually raised. Some preliminary applications of the model for 76Kr [4], 72,74,76Se [5], 96,98,100Mo [6], 74Ge, 74Kr [7] and 80Ge [8] revealed promising perspectives for future applications of the model to other nuclei known to manifest these phenomena.
1. A. Bohr, Mat. Fys. Medd. Dan. Vidensk. Selsk. 26 (1952) 14.
2. A. Bohr, B. R. Mottelson, Mat. Fys. Medd. Dan. Vidensk. Selsk. 27 (1953) 16.
3. R. Budaca, P. Buganu, A. I. Budaca, Phys. Lett. B 776 (2018) 26-31.
4. R. Budaca, A. I. Budaca, EPL 123 (2018) 42001.
5. R. Budaca, P. Buganu, A. I. Budaca, Nucl. Phys. A 990 (2019) 137-148.
6. R. Budaca, A. I. Budaca, P. Buganu, J. Phys. G: Nucl. Part. Phys. 46 (2019) 125102.
7. A. Ait Ben Mennana, R. Benjedi, R. Budaca, P. Buganu, Y. EL Bassem, A. Lahbas, M. Oulne, Phys. Scr. 96 (2021) 125306.
8. A. Ait Ben Mennana, R. Benjedi, R. Budaca, P. Buganu, Y. EL Bassem, A. Lahbas, M. Oulne, Phys. Rev. C 105 (2022) 034347.

Presentation materials

buganu_petrica_dubrovnik.pdf