2018 Impact factor 2.481
Hadrons and Nuclei


Eur. Phys. J. A 12, 387-397 (2001)

Investigation of inelastic $\mth{\alpha}$-scattering on $\chem{^{24}Mg}$ and $\chem{^{28}Si}$

A.K. Basak1, M.N.A. Abdullah1, A.S.B. Tariq1, S.K. Das1, 2, A.F.M.M. Rahman1, A.S. Mondal1, H.M. Sen Gupta3 and F.B. Malik4

1  Department of Physics, University of Rajshahi, Rajshahi, Bangladesh
2  Department of Physics, Shahjalal University of Science & Technology, Sylhet, Bangladesh
3  Department of Physics, University of Dhaka, Dhaka, Bangladesh
4  Department of Physics, Southern Illinois University, Carbondale, IL 62901, U.S.A.

akbasak2001@yahoo.com

(Received: 25 September 2001 / Revised version: 21 November 2001 Communicated by W.F. Henning)

Abstract
Effects of three different $\alpha$-nucleus potentials, the normal Woods-Saxon (WS), the squared WS and the molecular, have been studied using the differential cross-section data of inelastically scattered $\alpha$-particles on $\chem{^{24}Mg}$ and $\chem{^{28}Si}$ at 54 and 26 MeV incident energies, respectively. The angular distributions of inelastic scattering to the first 2+ and 4+ states of the two nuclei have been analyzed in terms of a coupled-channel formalism. The macroscopic rotational model using both the squared WS and the molecular potentials can produce satisfactorily a simultaneous description of the elastic data and the inelastic-scattering data of the 2+ and 4+ states for both the targets. The normal WS potential fails to describe the elastic and inelastic data, simultaneously. The effects of second-order deformed potential are also investigated. Microscopic coupled-channel calculations, using the 0+- 2+ coupling and the Gaussian $\alpha$-nucleon interaction in the form-factor, have also been performed for the $\chem{^{28}Si}$ target using both the squared WS and molecular potentials, the latter one giving a reasonable description of the data.

PACS
24.10.Eq - Coupled-channel and distorted-wave models.

© Società Italiana di Fisica, Springer-Verlag 2001