Effect of deformations on the compactness of odd-Z superheavy nuclei formed in cold and hot fusion reactions

5 years ago

Effect of deformations on the compactness of odd-Z superheavy nuclei formed in cold and hot fusion reactions

Using the extended fragmentation theory, the compactness of hot and cold fusion reactions is analyzed for odd-Z nuclei ranging Z=105-117. The calculations for the present work are carried out at T=0 MeV and ℓ=0ħ, as the temperature and angular momentum effects remain silent while addressing the orientation degree of freedom (i.e. compact angle configuration). In the hot fusion, ⁴⁸Ca (spherical)+ actinide (prolate) reaction, the non equatorial compact (nec) shape is obtained for Z=113 nucleus. On the other hand, Z>113 nuclei favor equatorial compact (ec) configuration. The distribution of barrier height (V B ) illustrate that the ec-shape is obtained when the magnitude of quadrupole deformation of the nucleus is higher than the hexadecupole deformation. In other words, negligible or small -ve

β_{4}

-deformations support ec configurations. On the other hand, large (+ve) magnitude of the

β_{4}

-deformation suggests that the compact configuration appears for compact angle

θ_{c}

<90⁰, leading to nec structure. Similar deformation effects are observed for Bi-induced reactions, in which not belly to belly compact (nbbc) configurations are seen at

θ_{c}

=42⁰. In addition to the effect of

β_{2}

and

β_{4}

-deformations, the exclusive role of octupole deformations (

β_{3}

) is also analyzed. The

β_{3}

-deformations do not follow the reflection symmetry as that of

β_{2}

and

β_{4}

, leading to the possible occurrence of compact configuration within 0⁰ to 180⁰ angular range.

Publisher URL: www.sciencedirect.com/science

DOI: S0375947418300241