Intro
Supervisors' Foreword
Acknowledgments
Contents
Parts of This Thesis Have Been Published in the Following Journal Articles
Symbols
1 Background and Motivation
1.1 Nuclear Deformations
1.2 Nuclear Triaxiality
1.2.1 Nuclear Wobbling Motion
1.2.2 Chirality of Nuclear Rotation
1.3 Motivation for Studying 135Pr Nucleus
1.4 Motivation for Studying 187Au Nucleus
References
2 Theory
2.1 Nuclear Shell Model
2.1.1 Harmonic Oscillator Potential
2.1.2 Woods-Saxon Potential
2.2 Nuclear Shapes and the Deformed Shell Model
2.3 Collective Rotation

2.3.1 Rotation About a Principal Axis
2.3.2 Rotation About a Tilted Axis
2.3.3 Rotation Out of the Principal Planes
2.4 Wobbling Modes in Nuclei
2.4.1 Wobbling in Even-Even Nuclei
2.4.2 Wobbling in Odd-A Nuclei
2.4.2.1 Longitudinal and Transverse Wobbling Bands
2.4.2.2 Yrast and Signature Partner Bands
2.5 Chiral Rotation in Nuclei
2.6 Nuclear Models to Study Wobbling Motion
2.6.1 Particle Rotor Model
2.6.2 Quasiparticle Triaxial Rotor Model
2.6.3 Triaxial Projected Shell Model
2.7 Theory of Angular Distributions
References
3 Experimental Details

3.1 Interaction of Gamma Rays with Matter
3.2 Gamma-Ray Spectroscopy with Germanium Detectors
3.2.1 High Purity Germanium (HPGe) Detectors
3.2.2 Response Function of HPGe Spectra
3.2.3 Compton Suppression
3.2.4 The Gammasphere Array
3.2.4.1 Honeycomb Suppression Used in Gammasphere
3.2.4.2 Digital Gammasphere Acquisition System
3.3 Angular Distributions and DCO-Ratios
3.4 Reduced Transition Probability Ratios
3.5 Heavy-Ion Fusion-Evaporation Reactions
3.5.1 Beam and Target Specifications
3.6 ATLAS
3.7 Run Details
3.7.1 135Pr Run
3.7.2 187Au Runs

3.7.3 Chiral Wobbler Run
3.8 Pre-Calibration with Digital Gammasphere Data
3.9 Energy and Efficiency Calibrations
References
4 Analysis
4.1 Data Sorting Into Matrices and Cubes
4.2 Background Subtraction Techniques
4.3 Coincidence Relationships and Level Schemes
4.3.1 135Pr
4.3.2 187Au
4.4 Spin and Parity Assignments
4.4.1 Angular Distributions and DCO-Like Ratios
4.4.1.1 135Pr
4.4.1.2 187Au
References
5 Results and Theoretical Discussion
5.1 Two-Phonon Wobbling in 135Pr
5.2 Wobbling Motion in 187Au
5.2.1 Longitudinal Wobbling Bands

5.2.2 Transverse Wobbling Bands
5.3 Chiral Wobbling in 135Pr
References
6 Updates and Future Work
6.1 Updates
6.2 Future Work
References
A Gammasphere Detector and Ring Information
B Digital Gammasphere Calibration Parameters
C Gammasphere Energy and Efficiency Calibration Parameters
Curriculam vitae of Nirupama Sensharma