Non-monotonic potentials and vector analyzing powers of ^6,7Li scattering by ¹²C, ²⁶Mg, ⁵⁸Ni, and ¹²⁰Sn

¹ Department of Physics, University of Rajshahi - Rajshahi, Bangladesh
² Department of Physics, Rajshahi University of Engineering & Technology - Rajshahi, Bangladesh
³ Department of Physics, Shahjalal University of Science & Technology - Sylhet, Bangladesh
⁴ Department of Physics, Jagannath University - Dhaka, Bangladesh
⁵ School of Computer Science, Carleton University - Ottawa, ON K1S 5B6, Canada
⁶ Department of Physics, Southern Illinois University - Carbondale, IL 62901, USA
⁷ Department of Physics, Washington University - St. Louis, MO 63130, USA

^a akbasak@gmail.com

Received: 14 February 2011
Accepted: 27 April 2011

Abstract

The data on the elastic scattering cross-section (CS) and vector analyzing power (VAP) of ^{6, 7}Li incident on ¹²C , ²⁶Mg, ⁵⁸Ni and ¹²⁰Sn nuclei are analyzed in terms of an optical model (OM) potential, the real part of which is generated from a realistic two-nucleon interaction using the energy-density functional (EDF) formalism. The EDF-generated real part of the potential is non-monotonic (NM) in nature. This NM real potential part, without any renormalization, along with an empirically determined imaginary part and spin-orbit potential, embodying the underlying physics of projectile excitation, can successfully account for both CS and VAP data in all four cases. This investigation, for the first time, using the simple OM analysis accounts well for the opposite signs of the VAP data of elastically scattered ^{6, 7}Li by ⁵⁸Ni at E_lab≈20 MeV and by ¹²⁰Sn at E_lab=44 MeV. The ramification of successfully describing the data by the EDF-generated potential to the equation of state of nuclear matter is discussed.