Structure of hypernuclei studied with the integrodifferential equations approach

• Main Author: Nkuna, John Solly
• Other Authors: Rampho, G. J.
• Format: Others
• Language: en
• Published: 2013
• Subjects: Integrodi erential equation; Hypernuclei; Schr odinger equation; Adiabatic approximation; Potential harmonics; Hyperspherical harmonics; Few-Body systems; 515.38; Schrodinger equation; Few-body problem; Nuclear physics
• Online Access: http://hdl.handle.net/10500/8828

A two-dimensional integrodi erential equation resulting from the use of potential harmonics expansion in the many-body Schr odinger equation is used to study ground-state properties of selected few-body nuclear systems. The equation takes into account twobody correlations in the system and is applicable to few- and many-body systems. The formulation of the equation involves the use of the Jacobi coordinates to de ne relevant global coordinates as well as the elimination of center-of-mass dependence. The form of the equation does not depend on the size of the system. Therefore, only the interaction potential is required as input. Di erent nucleon-nucleon potentials and hyperon-nucleon potentials are employed to construct the Hamiltonian of the systems. The results obtained are in good agreement with those obtained using other methods. === Physics