[en] Short note. 1 ref.; 1 tab

[en] Short communication

[en] In this work the isospin dependence of the cranking frequency in the generation of angular momentum in zirconium isotopes is studied

[en] Giant Dipole Resonance (GDR) cross section can be used as a good signature for studying shape transitions in general. It is the best signature for studying the unique Jacobi transition. With this view calculations were carried out to determine the GDR cross sections for hot rotating ⁹⁰Zr using a rotating anisotropic harmonic oscillator potential and a separable dipole-dipole residual interaction and obtained good fits with available results

[en] Experimental results suggest that the chain of Zr-isotopes (with A ∼ 80-108) show a variety of nuclear structure as the number of neutrons vary from a mid-open-shell deformed region (⁸⁰Zr₄₀), through a closed neutron shell (⁹⁰Zr₅₀), to a closed neutron sub- shell (⁹⁶Zr₅₆), and then to a sudden reappearance of deformation (¹⁰⁰Zr₆₀), which persists to a mid-open-shell region (¹⁰⁸Zr₆₈). This behavior is unprecedented anywhere on the nuclear mass surface. From the theoretical point of view, it would be interesting to see whether the trend of this variation of nuclear structure as a function of neutron number can be reproduced within the limit of common theoretical platform: that is to say that when the calculations are to be carried out through shell model approach, importance to be given to the use of the same model space and interaction. However, because of the computational complexity, quite often different types of truncation schemes are adopted. Here, we are bringing out the results of our shell model calculations using a modest model space. The calculations are mainly motivated by the availability of new and revised experimental lifetime data for the semi-magic ⁹⁴Zr nucleus at low-spin, low-excitation regime

[en] Although the nuclear shape co-existence for various mass regions of the periodic table is a well known phenomena, it remains an interesting investigation till today. On the other hand, the existence of parity doublet is relatively new. The origin and manifestation of such an interesting observable is not yet known clearly. It is reported that the parity doublet is not visible in a nucleus with normal deformation or spherical in shape. Here, we have chosen Zr nucleus as a potential candidate both for shape co-existence and study of parity doublets using the well known relativistic mean field (RMF) formalism and to take care of the pairing correlation, the constant gap BCS-approach is used in our calculations

[en] Nuclear shapes are very sensitive to the structural effects and can change with spin, isospin and temperature. In some cases configurations corresponding to different shapes may coexist at similar energies which may arise from intruder excitations leading to shape coexistence which is a topic of recent research interest. The nuclear masses around A ≈ 80-110 offer an interesting region to explore ground state shape changes and shape coexistence in the vicinity of Z around 40 and then transition towards less deformed to spherical while approaching shell closure at Z = 50. Most of the atomic nuclei are known to have spherical or prolate ground state shapes except in few regions on the nuclear chart where oblate and triaxial shapes are predominant. We evaluate shapes in the Z=40 region in a theoretical framework and search for shape coexistence

[en] Monopole corrected effective interactions for Tz = 0, 1, 2 nuclei of Kr, Sr, and Zr within Variational Mean Field Theory are discussed here. In the present calculations, the doubly closed shell ⁵⁶Ni nucleus have been treated as inert core with valence space spanned by the orbits 0f_5/2, 1p_3/2, 1p_1/2 and 0g_9/2

[en] The Jacobi shape transition from noncollective oblate to hyperdeformed collective prolate or triaxial shape in nuclei is analogous to the Jacobi shape instability occurring in gravitating rotating stars. This happens at a very high spin where pairing has vanished. Thermal fluctuations do not come into play because of near zero temperature in warm nuclei. Further, Jacobian instability occurs before fission instability in light and medium mass nuclei. In the present work, the theoretical approach of Nilsson-Strutinsky extended method for high spin have been followed

[en] Short communication. 1 tab