February 27, 2023 to March 3, 2023
Europe/Moscow timezone

Evolution of the collective potential along the chain of Zr isotopes

Mar 3, 2023, 4:00 PM
Blokhintsev Auditorium, 4th floor

Blokhintsev Auditorium, 4th floor



Evgenii Mardyban (Vasilevich)


The properties of the collective low-lying states of Zr isotopes indicate that some of these states are mainly spherical and the other are mainly deformed ones. In our previous works, it was shown that the structure of low-lying collective states of 96Zr can be satisfactorily described within the framework of a geometric collective model based on the Bohr Hamiltonian with a potential that supports the existence of various forms of the nucleus. Based on these results, the question arises about the possibility of investigating the properties of low-lying collective states of 92−102Zr on the basis of a five-dimensional geometric quadrupole collective model. The quadrupole-collective Bohr Hamiltonian depending on both 𝛽 and 𝛾 shape variables with a potential having spherical and deformed minima, is applied. The relative depth of two minima, height and width of the barrier, rigidity of the potential near both minima are determined so as to achieve the best possible description of the observed properties of the low-lying collective quadrupole states of 92−102Zr. Satisfactory agreement with the experimental data on the excitation energies and the E2 reduced transition probabilities is obtained. The evolution of the collective potential with increase of 𝐴 is described and the distributions of the wave functions of the collective states in 𝛽−𝛾 plane are found. It is shown that the low-energy structure of 92−102Zr can be described in a satisfactory way within the Geometrical Collective Model with the Bohr Hamiltonian. The 𝛽-dependence of the potential energy is fixed to describe the experimental data in a best possible way. The resulting potential evolves with 𝐴 increase from having only one spherical minimum in 92Zr, through the potentials having both spherical and deformed minima, to the potential with one deformed minimum in 102Zr. A 𝛽-dependence of the wave functions is presented in a set of figures illustrating their distribution over 𝛽.

Primary author

Evgenii Mardyban (Vasilevich)

Presentation materials