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The present work reports the analyses of the experimental angular distributions of $\alpha+^{116,122,124}$Sn elastic scattering in terms of the non-monotonic (NM) and modified single-folded (MSF) potentials. These two types of optical model (OM) potentials have enjoyed success in explaining the $\alpha$-induced elastic scattering and non-elastic processes on several targets [1-4]. The NM potential is a complex potential having a soft repulsive core in its real part which has its root in the energy-density functional (EDF) theory of Brueckner, Coon and Dabrowski (BCD) [5]. The MSF potential, on the other hand, is a semi-microscopic single-folded potential [4] based on the combined distributions of $\alpha$-like clusters and unclustered nucleons in the target. Empirically adjusted imaginary potentials are used in conjunction with the real potential to reproduce the experimental $\alpha+^{116,122,124}$Sn elastic scattering data. Two sets of real NM potentials have been found through the analysis using the unshifted and shifted repulsive cores respectively termed as Set-1 and Set-2 potentials. The volume integral per nucleon pair for the real part of the Set-1 and Set-2 potentials has been found to be ~100 MeV.fm$^{3}$ which is normally expected for the NM potential. The closeness of the fits to the data using the real potential with unshifted repulsive core and with shifted repulsive core suggests that the effect of the potential shape in the central region of the target is not that significant in determining the cross-sections and the scattering is dominated by the nuclear potential at the surface of the target nuclei. The MSF potential, without any renormalization, satisfactorily describes the $\alpha+^{116,122,124}$Sn elastic scattering data for the energies considered herein. The number of nucleons making -like clusters is deduced as $4A_{\alpha}=88$ for all the three isotopes of Sn, while the number of unclustered nucleons has been found as $A_N=28$, 34, and 36 for $^{116}$Sn, $^{122}$Sn, and $^{124}$Sn respectively in the time-average picture.
A. S. B. Tariq et al., Phys. Rev. C 59(5), 2558 (1999).
M. N. A. Abdullah et al., Eur. Phys. J. A 18, 65 (2003).
S. Hossain et al., J Phys G: Nucl. Part. Phys. 40, 105109 (2013).
M. N. A. Abdullah et al., Phys. Lett. B 571, 45 (2003).
K. A. Brueckner, S. Coon, J. Dabrowski, Phys. Rev. 168, 1184 (1968).
