Eur. Phys. J. A (2009) 41: 215-227
https://doi.org/10.1140/epja/i2009-10813-7

Regular Article - Theoretical Physics

Potential description of ⁶Li elastic scattering by ²⁸Si

¹ Department of Physics, Shahjalal University of Science and Technology, 3114, Sylhet, Bangladesh
² Department of Physics, Rajshahi University of Engineering and Technology, 6204, Rajshahi, Bangladesh
³ Department of Physics, University of Rajshahi, 6205, Rajshahi, Bangladesh
⁴ School of Computer Science, Carleton University, K1S 5B6, Ottawa, Ontario, Canada
⁵ Department of Nuclear Reactions, The Andrzej Soltan Institute for Nuclear Studies, Hoza 69, PL-00-681, Warsaw, Poland
⁶ Department of Physics, Southern Illinois University, 62901, Carbondale, IL, USA
⁷ Department of Physics, Washington University, 63130, St. Louis, MO, USA

^* e-mail: akbasak-phy@ru.ac.bd

Received: 22 February 2009
Revised: 19 May 2009
Accepted: 28 May 2009
Published online: 3 July 2009

Abstract

This work compares the performance of traditional phenomelogical Woods-Saxon (WS) and squared WS (SWS) potentials with that of a non-monotonic (NM) potential, microscopically derived using the energy-density functional (EDF) formalism from a realistic two-nucleon potential that includes the Pauli priciple. The experimental differential cross-sections (DCS) for the ⁶Li elastic scattering by ²⁸Si over the incident energies E _$Li$ = 7.5-99.0 MeV are well accounted for using the NM potential without the need of renormalization. At higher energies, in the range of 135.0-318.0MeV, the EDF-generated NM potential parameters need a revision for the satisfactory description of the DCS data. The DCS data in the entire energy range of 7.5-318.0 are also well described by the WS and SWS potentials. The inclusion of a static spin-orbit potential to the NM, WS and SWS central potentials is found to reproduce the features of the vector analyzing power iT₁₁ data at 22.8MeV reasonably well in each of the cases. However, the WS and SWS potential parameters needed to describe the DCS and iT₁₁ data are found inconsistent in terms of the variations of the real volume integrals per nucleon pair (VJR) with the incident energy. On the other hand, the EDF-generated NM potential is found to be consistent in terms of VJR and satisfactorily accounts for the DCS data in the entire range of energies considered herein and the features of the iT₁₁ data at 22.8MeV.