English (United Kingdom)

https://curated-unify.zendy.io/wp-json/zendy-region/v1/featured_content/oa?rat=en

https://curated-unify.zendy.io/wp-json/zendy-region/v1/highlighted_journal/

Global: Zendy Plus annual

Presents the access of premium content as premium feature

Premium Content

Presents the keyphrase highlighting as premium feature

Keyphrase Highlighting

Presents the summarisation as premium feature

Summarisation

Insights

Presents the pdf analysis as premium feature

PDF Analysis

Presents the zaia usage as premium feature

ZAIA

Global: Zendy Tools annual

Global: Zendy Free Plan

Global: Zendy Tools monthly

Global: Zendy Plus monthly

The properties of the collective low-lying states of Zr isotopes whichinclude excitation energies and $E2$ reduced transition probabilities indicatethat some of these states are mainly spherical and the other are mainlydeformed ones. We investigate the properties of the low-lying collective statesof $^{92-102}$Zr and their evolution with increase of the number of neutronsbased on the five-dimensional Geometrical Quadrupole Collective Model. Thequadrupole-collective Bohr Hamiltonian with a potential having spherical anddeformed minima, is applied. The relative depth of two minima, height and widthof the barrier, rigidity of the potential near both minima are determined so asto achieve the best possible description of the observed properties of thelow-lying collective quadrupole states of $^{92-102}$Zr. Satisfactory agreementwith the experimental data on the excitation energies and the $E2$ reducedtransition probabilities is obtained. The evolution of the collective potentialwith increase of $A$ is described and the distributions of the wave functionsof the collective states in $\beta-\gamma$ plane are found. The resultingpotential evolves with $A$ increase from having only one spherical minimum in$^{92}$Zr, through the potentials having both spherical and deformed minima, tothe potential with one deformed minimum in $^{102}$Zr.

Evolution of the phenomenologically determined collective potential along the chain of Zr isotopes