2018 Impact factor 2.481
Hadrons and Nuclei
Eur. Phys. J. A 15, 477-486 (2002)
DOI: 10.1140/epja/i2002-10066-0

Investigation of $\mth{\alpha}$-nucleus interaction in the $\chem{^{27}Al(\alpha,\alpha)^{27}Al}$ scattering and $\chem{^{27}Al(\alpha,d)^{29}Si}$ reaction

M.N.A. Abdullah1, M.S. Mahbub1, S.K. Das1, 2, A.S.B. Tariq1, M.A. Uddin1, A.K. Basak1, 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, USA

akbasak2001@Yahoo.com

(Received: 15 July 2002 / Published online: 10 December 2002)

Abstract
Full finite-range macroscopic calculations in the distorted-wave Born approximation have been performed using the molecular and Michel $\alpha $-nucleus potentials to analyze the angular distributions of cross-sections of the 27Al( $\alpha,d$) 29Si reaction, at 26.5 and 27.2 MeV incident energies, leading to seven transitions up to the excitation energy $E_{\rm X} = 4.08$ MeV of the final nucleus. The parameters of the two types of the $\alpha $-nucleus potentials are determined from the elastic-scattering data. Both the molecular and Michel potentials, without any adjustment to the parameters needed to fit the elastic-scattering data, are able in most cases to reproduce, simultaneously, the absolute cross-sections particularly at large angles, where the previous calculations failed to reproduce by orders of magnitude, and the gross pattern of angular distributions of the reaction. The deuteron-cluster spectroscopic factors for most of the seven transitions, deduced using the two $\alpha $- 27Al potentials, differ from those obtained in earlier works. The spectroscopic factor for the ground-state transition, deduced in the present work for the 25.8 MeV data, agrees well with the shell model prediction.

PACS
25.55.Ci - Elastic and inelastic scattering.
24.50.+g - Direct reactions.
21.10.Jx - Spectroscopic factors.

© Società Italiana di Fisica, Springer-Verlag 2002