Abstract
This thesis presents a microscopic description of isoscalar giant resonance excitations in ⁴⁰Ca and ¹¹⁶ Sn nuclei within the self-consistent Skyrme-Hartree-Fock-Random-Phase-Approximation (HF-RPA) theory. Such characteristic features of the Isoscalar Giant Resonance as strength function, transition density and cross-sections for ⁴⁰Ca and ¹¹⁶Sn nuclei are obtained. In this analysis, the SL1 Skyrme interaction associated with 230 MeV for the value of nuclear matter incompressibility coefficient K is chosen. The selection of nuclei is based on the availability of recent experimental results from Texas A&M University. The coordinate space formulation of the RPA in terms of Green's function is employed to obtain isoscalar monopole and dipole transition strength distributions for ⁴⁰Ca and ¹¹⁶Sn nuclei. Calculations are performed with the discretized single-particle continuum. Theoretical transition strength distributions are used to find quantities of interest such as energy positions of resonance states, sum rules and average resonance energies. The cross-section of 240 MeV α-particle scattering on the above nuclei are analysed within the Distorted Wave Born Approximation (DWBA) using transition densities obtained from the HF-RPA calculations. From this analysis the cross-sections for ISGDR excitations are obtained and compared with the recent experimental data obtained at the Cyclotron Institute, Texas A&M University.
Karki, Bhishma (2000). Microscopic description of isoscalar giant resonance excitations in ⁴⁰Ca and ¹¹⁶SN nuclei. Master's thesis, Texas A&M University. Available electronically from
https : / /hdl .handle .net /1969 .1 /ETD -TAMU -2000 -THESIS -K375.