Binary cluster model calculations for 20Ne and 44Ti nuclei

Abstract

The elastic scattering data of [Formula: see text] and [Formula: see text] systems at [Formula: see text] = 32.2–146 MeV and [Formula: see text] = 24.1–49.5 MeV energies have been analyzed with double-folding (DF) potential in optical model formalism in order to investigate the cluster structures of [Formula: see text]Ne and [Formula: see text]Ti nuclei. The deduced DF potentials between [Formula: see text] and [Formula: see text]O as well as [Formula: see text] and [Formula: see text]Ca have been used for obtaining the excitation energies and [Formula: see text]-decay widths of [Formula: see text]Ne and [Formula: see text]Ti in Gamow code, but the reasonable results could not be obtained. Thus, the real parts of DF potentials which are in the best agreement with experimental data have been fitted with the squared-Woods–Saxon (WS2) potential parameters to calculate the [Formula: see text]-decay widths of [Formula: see text]Ne and [Formula: see text]Ti with Wentzel–Kramers–Brillouin (WKB) approach. The nuclear potential sets obtained in WKB calculations are also used for Gamow code calculations. We take into account the deformation and orientation of [Formula: see text]Ca nucleus to examine their influence on both the excitation energies and decay widths of [Formula: see text]Ti. Besides, by using the binary cluster model the rotational band energies and electromagnetic transition probabilities (BE2)s according to angles are also reproduced for both nuclei. The obtained results showed that the binary cluster model is very useful to understand the observables of [Formula: see text]Ne and [Formula: see text]Ti nuclei. Although only spherical calculations are made for [Formula: see text]Ne ([Formula: see text] + [Formula: see text]O), the deformation in [Formula: see text]Ca would be important for the understanding of [Formula: see text]Ti ([Formula: see text] + [Formula: see text]Ca) cluster structure. The mechanism presented here would also be applied to understand the cluster structures in heavy nuclei.