Non-monotonic potentials for super(6)Li elastic scattering at 88 MeV

• Published in: Physica scripta Vol. 87; no. 1; pp. 1 - 11
• Main Authors: Hossain, S, Abdullah, M N A, Rahman, Md Zulfiker, Basak, A K, Malik, F B
• Format: Journal Article
• Language: English
• Published: 01-01-2013
• Subjects: Atomic properties; Criteria; Cross sections; Elastic scattering; Empirical analysis; Formalism; Integrals; Nucleons
• ISSN: 0031-8949; 1402-4896
• DOI: 10.1088/0031-8949/87/01/015201

This work compares the performance of the traditional phenomenological Woods-Saxon (WS) and squared WS (SWS) potentials with that of a non-monotonic (NM) potential, for super(6)Li elastic scattering by targets of a wide range, namely super(24,25,26)Mg, super(27)Al, super(40,44)Ca, super(59)Co, super(60)Ni, super(197)Au and super(206,208)Pb at an indent energy of 88 MeV. The real part of this NM potential is derived microscopically using the energy-density functional (EDF) formalism, from a realistic two-nucleon potential, that includes the Pauli principle. The experimental differential cross sections (DCSs) for the super(6)Li elastic scattering are well accounted for using this raw EDF-generated real part along with an empirical imaginary part, referred to as the NM-1 potential, which needs no renormalization. To make this potential more consistent in terms of the variations of the volume integrals per nucleon pair of its real part with the target mass numbers, a completely empirical NM potential, referred to as the NM-2 potential, is derived that fits the data more satisfactorily. The DCS data are also well described by the SWS and WS potentials. However, the SWS potential is found to be inconsistent in terms of the above-mentioned criterion and the NM-2 potential has an edge over all the potentials.