The adiabatic solution of the few-body integrodifferential equation
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Authors
Phenyane, Rapula Ronny
Issue Date
2021-11
Type
Dissertation
Language
en
Keywords
Adiabatic approximation , Boundary conditions , Faddeev approach , Ground state energy , Integrodifferential equations , Hyperspherical harmonics , Lagrange-mesh method , Eigenvalue problem
Alternative Title
Abstract
The original two-variable integrodifferential equation for few-body systems is mod ified by introducing boundary conditions in the radial and angular domains. The
accuracy of the adiabatic approximation in solving this two-variable modified few body integrodifferential equation is investigated. In this approximation the inte grodifferential equation is decoupled into two single-variable equations for the ra dial motion and angular motion. The two equations are solved using the Lagrange-mesh methods. Ground-state energies of systems of particles interacting through
realistic nucleon-nucleon and alpha-alpha interacting potentials and constituted by
various numbers of particles are considered. The ground-state energies obtained
are compared with those from the solution of the original two-variable integrodifferential equation as well as those obtain by other methods reported in the literature.