Application of a Boson Expansion formalism based on the Random Phase Approximation to samarium isotopes

Thesis/Dissertation · Wed Jan 01 04:00:00 EST 1986

OSTI ID:6314901

Jamaluddin, M B

The Boson Expansion Theory of Kishimoto and Tamura has proved to be very successful in describing quadrupole collective motions in even-even nuclei. This theory, however, involves a complicated transformation from the Tamm-Dancoff phonons to the phonons of the random Phase Approximation. In this thesis a Boson Expansion formalism, derived directly from the Random Phase Approximation and set forth by Pedracchi and Tamura, is used to derive the boson forms of the nuclear Hamiltonian and the electromagnetic transition operator. Detailed discussions of the formalism of Pedrocchi and Tamura and its extension needed to perform realistic calculations are presented. The technique used to deriving the boson forms and the formulae used in the calculations are also given a thorough treatment to demonstrate the simplicity of this approach. Finally, the theory is tested by applying it to calculate the energy levels and some electromagnetic properties of the Samarium isotopes. The results show that the present theory is capable of describing the range of behavior from a vibrational to a rotational character of the Samarium isotopes as well as the previous theory.

• Research Organization: Texas Univ., Austin (USA)
• OSTI ID: 6314901
• Country of Publication: United States
• Language: English

Related Subjects

653001* -- Nuclear Theory-- Nuclear Structure
Moments
Spin
& Models
73 NUCLEAR PHYSICS AND RADIATION PHYSICS
BOSONS
DATA
ENERGY LEVELS
INFORMATION
ISOTOPES
MATHEMATICAL MODELS
NUCLEAR MODELS
NUMERICAL DATA
RANDOM PHASE APPROXIMATION
RARE EARTH ISOTOPES
SAMARIUM ISOTOPES
SERIES EXPANSION
THEORETICAL DATA