Potentials and phase shifts for nucleon–light nuclei systems

• Published in: Pramāṇa 2018-12, Vol.91 (6), p.1-11, Article 77
• Main Authors: Bhoi, J, Laha, U
• Format: Article
• Language: English
• Subjects: Astronomy; Astrophysics and Astroparticles; Elastic scattering; Nuclei; Observations and Techniques; Physics; Physics and Astronomy; Quantum mechanics; Standard data; Supersymmetry; Wave interaction
• ISSN: 0304-4289; 0973-7111
• DOI: 10.1007/s12043-018-1649-3

Two simple models based on the Coulomb-distorted phase function and supersymmetry-inspired factorisation methods are adapted to deal with the nucleon–light nuclei elastic scattering at low energies. The first one is associated with the derivation of a closed-form expression of the scattering phase shift for motion in Coulomb-distorted separable non-local potentials. The second one deals with the development of an energy-dependent phase equivalent local potential to the non-local one for s-wave and its subsequent generation of higher partial wave interactions through the formalism of supersymmetric quantum mechanics. The usefulness of our models is demonstrated through the computation of α –nucleon scattering phase shifts at low energies up to partial waves ℓ = 2 . Certain energy-dependent correction factors are also incorporated into energy-dependent higher partial wave potentials to achieve an excellent agreement with the standard data.