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monalisa.toc
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monalisa.toc
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\contentsline {chapter}{Acknowledgements}{ii}{dummy.1}%
\vspace {1em}
\contentsline {chapter}{\numberline {1}Introduction}{1}{chapter.3}%
\contentsline {section}{\numberline {1.1}Aim}{2}{section.4}%
\contentsline {section}{\numberline {1.2}Motivation}{3}{section.5}%
\contentsline {section}{\numberline {1.3}Thesis Structure}{4}{section.6}%
\contentsline {chapter}{\numberline {2}Theoretical Aspects of Nuclear Deformation}{7}{chapter.7}%
\contentsline {section}{\numberline {2.1}Shape of Nuclei}{8}{section.8}%
\contentsline {subsection}{\numberline {2.1.1}Multipole deformations}{8}{subsection.10}%
\contentsline {subsection}{\numberline {2.1.2}Quadrupole Deformation}{10}{subsection.12}%
\contentsline {subsection}{\numberline {2.1.3}Axial quadrupole deformations}{12}{subsection.19}%
\contentsline {subsection}{\numberline {2.1.4}Non-Axial quadrupole deformations}{13}{subsection.23}%
\contentsline {subsection}{\numberline {2.1.5}Lund Convention}{15}{subsection.27}%
\contentsline {section}{\numberline {2.2}Nuclear Models}{16}{section.33}%
\contentsline {subsection}{\numberline {2.2.1}Deformed Shell Model}{16}{subsection.34}%
\contentsline {subsection}{\numberline {2.2.2}Deformed Shell Model - Nilsson Model}{17}{subsection.35}%
\contentsline {subsection}{\numberline {2.2.3}Single-particle states in deformed nuclei}{20}{subsection.46}%
\contentsline {subsection}{\numberline {2.2.4}Collective Model}{26}{subsection.52}%
\contentsline {subsection}{\numberline {2.2.5}Bohr Hamiltonian}{26}{subsection.53}%
\contentsline {subsection}{\numberline {2.2.6}Nuclear Vibration}{28}{subsection.62}%
\contentsline {subsection}{\numberline {2.2.7}Nuclear Rotation}{31}{subsection.67}%
\contentsline {subsection}{\numberline {2.2.8}Superimposed Rotations and Vibrations}{35}{subsection.72}%
\contentsline {subsection}{\numberline {2.2.9}Collective Quantities}{37}{subsection.84}%
\contentsline {subsubsection}{\numberline {2.2.9.1}R - Energy Ratio}{37}{subsubsection.85}%
\contentsline {subsubsection}{\numberline {2.2.9.2}Rotational Frequencies}{38}{subsubsection.87}%
\contentsline {subsubsection}{\numberline {2.2.9.3}Moments of Inertia}{39}{subsubsection.93}%
\contentsline {subsubsection}{\numberline {2.2.9.4}Electric Quadrupole Moment}{42}{subsubsection.100}%
\contentsline {section}{\numberline {2.3}Triaxial Nuclei and Their Signatures}{45}{section.111}%
\contentsline {subsection}{\numberline {2.3.1}Non-axial nuclei}{47}{subsection.112}%
\contentsline {subsection}{\numberline {2.3.2}Triaxial Rotor Model}{48}{subsection.113}%
\contentsline {subsection}{\numberline {2.3.3}Triaxial Particle + Rotor Model}{49}{subsection.119}%
\contentsline {subsection}{\numberline {2.3.4}Stable Triaxial Deformation}{54}{subsection.135}%
\contentsline {subsection}{\numberline {2.3.5}Fingerprints of Triaxiality}{56}{subsection.138}%
\contentsline {subsection}{\numberline {2.3.6}Chiral motion}{57}{subsection.139}%
\contentsline {subsection}{\numberline {2.3.7}Wobbling Motion}{58}{subsection.143}%
\contentsline {chapter}{\numberline {3}Wobbling Motion in Nuclei}{63}{chapter.144}%
\contentsline {section}{\numberline {3.1}Wobbling Motion in Even-Even Nuclei}{63}{section.145}%
\contentsline {subsection}{\numberline {3.1.1}Triaxial rotor energy vs. wobbling energy}{70}{subsection.172}%
\contentsline {subsection}{\numberline {3.1.2}Testing the Harmonic Approximation}{71}{subsection.175}%
\contentsline {subsubsection}{\numberline {3.1.2.1}Energy Spectrum}{71}{subsubsection.176}%
\contentsline {subsubsection}{\numberline {3.1.2.2}Transition Probabilities}{73}{subsubsection.181}%
\contentsline {subsubsection}{\numberline {3.1.2.3}General Discussion}{75}{subsubsection.185}%
\contentsline {section}{\numberline {3.2}Wobbling Motion in Odd-Mass Nuclei}{76}{section.187}%
\contentsline {section}{\numberline {3.3}Wobbling Nuclei - A Complete Catalog}{86}{section.206}%
\contentsline {subsection}{\numberline {3.3.1}Wobbling around A=100}{87}{subsection.207}%
\contentsline {subsection}{\numberline {3.3.2}Wobbling around A=130}{88}{subsection.209}%
\contentsline {subsection}{\numberline {3.3.3}Wobbling around A=160}{90}{subsection.211}%
\contentsline {subsection}{\numberline {3.3.4}Wobbling around A=180}{92}{subsection.213}%
\contentsline {subsection}{\numberline {3.3.5}Wobbling Motion - Experimental Chart}{95}{subsection.219}%
\contentsline {section}{\numberline {3.4}Concluding Remarks}{95}{section.222}%
\contentsline {chapter}{\numberline {4}New Theoretical Formalism}{99}{chapter.223}%
\contentsline {section}{\numberline {4.1}Previous Work - Foundation}{99}{section.224}%
\contentsline {section}{\numberline {4.2}Re-interpretation of the Wobbling Motion}{102}{section.226}%
\contentsline {subsection}{\numberline {4.2.1}Variational Principle}{103}{subsection.230}%
\contentsline {subsection}{\numberline {4.2.2}Classical Equations of Motion}{105}{subsection.236}%
\contentsline {subsection}{\numberline {4.2.3}Classical Energy Function (CEF)}{107}{subsection.243}%
\contentsline {subsubsection}{\numberline {4.2.3.1}Canonical Factors - Qualitative Analysis}{107}{subsubsection.246}%
\contentsline {subsubsection}{\numberline {4.2.3.2}Critical Region}{108}{subsubsection.250}%
\contentsline {subsection}{\numberline {4.2.4}Wobbling Frequencies}{110}{subsection.253}%
\contentsline {subsection}{\numberline {4.2.5}An Alternative Approach}{116}{subsection.270}%
\contentsline {section}{\numberline {4.3}A New Band Structure in Lu Isotopes}{124}{section.296}%
\contentsline {subsection}{\numberline {4.3.1}Variational States}{125}{subsection.297}%
\contentsline {subsection}{\numberline {4.3.2}Fitting Parameters}{128}{subsection.306}%
\contentsline {section}{\numberline {4.4}Numerical Results in Lu Isotopes}{130}{section.309}%
\contentsline {subsection}{\numberline {4.4.1}Numerical Parameters}{133}{subsection.320}%
\contentsline {subsection}{\numberline {4.4.2}Energies}{135}{subsection.324}%
\contentsline {subsection}{\numberline {4.4.3}Alignment}{138}{subsection.330}%
\contentsline {subsection}{\numberline {4.4.4}Reference Energy}{141}{subsection.335}%
\contentsline {subsection}{\numberline {4.4.5}Dynamic MOI}{144}{subsection.340}%
\contentsline {subsection}{\numberline {4.4.6}Electromagnetic Transitions}{146}{subsection.344}%
\contentsline {subsubsection}{\numberline {4.4.6.1}E2 Transitions}{147}{subsubsection.347}%
\contentsline {subsubsection}{\numberline {4.4.6.2}M1 Transitions}{154}{subsubsection.366}%
\contentsline {section}{\numberline {4.5}Concluding Remarks}{161}{section.378}%
\contentsline {chapter}{\numberline {5}Novel Description of the Wobbling Bands}{165}{chapter.382}%
\contentsline {section}{\numberline {5.1}Parity Partner Bands}{166}{section.383}%
\contentsline {subsection}{\numberline {5.1.1}Parity of the wave-function}{169}{subsection.388}%
\contentsline {subsection}{\numberline {5.1.2}Redefined Energy Spectrum}{170}{subsection.396}%
\contentsline {section}{\numberline {5.2}Numerical Results}{171}{section.398}%
\contentsline {subsection}{\numberline {5.2.1}Energy spectrum}{172}{subsection.400}%
\contentsline {subsection}{\numberline {5.2.2}Interpretation of the parameter set}{176}{subsection.406}%
\contentsline {section}{\numberline {5.3}Classical Energy Function (CEF)}{178}{section.409}%
\contentsline {subsection}{\numberline {5.3.1}CEF - Stability Regions}{179}{subsection.414}%
\contentsline {subsection}{\numberline {5.3.2}Classical 3D Trajectories}{184}{subsection.423}%
\contentsline {section}{\numberline {5.4}Concluding Remarks}{189}{section.433}%
\contentsline {chapter}{\numberline {6}Study of the Wobbling Motion via a Boson Description}{193}{chapter.434}%
\contentsline {section}{\numberline {6.1}Angular Momentum - Boson Representation}{194}{section.435}%
\contentsline {section}{\numberline {6.2}Theoretical Framework}{197}{section.447}%
\contentsline {subsection}{\numberline {6.2.1}Potential Energy for the PRM Hamiltonian}{197}{subsection.448}%
\contentsline {subsection}{\numberline {6.2.2}Another boson expansion for the angular momentum}{202}{subsection.469}%
\contentsline {subsection}{\numberline {6.2.3}Harmonic Approximation of the Energy}{202}{subsection.473}%
\contentsline {section}{\numberline {6.3}Classical Description of the Hamiltonian}{205}{section.483}%
\contentsline {section}{\numberline {6.4}Electromagnetic Transitions}{217}{section.531}%
\contentsline {section}{\numberline {6.5}Numerical Results}{219}{section.539}%
\contentsline {subsection}{\numberline {6.5.1}Excitation Energies}{220}{subsection.541}%
\contentsline {subsection}{\numberline {6.5.2}On the Chiral Character of the Wobbling Motion}{226}{subsection.554}%
\contentsline {subsection}{\numberline {6.5.3}Electromagnetic Transitions}{230}{subsection.561}%
\contentsline {subsection}{\numberline {6.5.4}Concluding Remarks}{231}{subsection.564}%
\contentsline {chapter}{\numberline {7}General Conclusions}{235}{chapter.565}%
\contentsline {chapter}{\numberline {A}Shell Model}{241}{appendix.566}%
\contentsline {section}{\numberline {A.1}Shell model}{241}{section.567}%
\contentsline {section}{\numberline {A.2}Nilsson Orbitals}{249}{section.591}%
\contentsline {chapter}{\numberline {B}Two-State Mixing}{257}{appendix.603}%
\contentsline {chapter}{\numberline {C}Rotational Bands in Nuclei}{263}{appendix.618}%
\contentsline {section}{\numberline {C.1}Deformation Aligned Bands}{264}{section.620}%
\contentsline {section}{\numberline {C.2}Rotation Aligned Bands}{265}{section.626}%
\contentsline {chapter}{\numberline {D}Original Contributions}{269}{appendix.634}%
\contentsline {section}{\numberline {D.1}Published Papers During Doctoral Studies}{269}{section.635}%
\contentsline {subsection}{\numberline {D.1.1}In-Scope ISI Indexed Papers}{270}{subsection.636}%
\contentsline {subsection}{\numberline {D.1.2}Out-of-Scope ISI Indexed Papers}{271}{subsection.644}%
\contentsline {subsection}{\numberline {D.1.3}Out-of-Scope Non-ISI Papers}{271}{subsection.646}%
\contentsline {section}{\numberline {D.2}Conferences}{272}{section.651}%
\contentsline {subsection}{\numberline {D.2.1}International Conferences}{272}{subsection.652}%
\contentsline {subsection}{\numberline {D.2.2}National Conferences}{272}{subsection.659}%
\contentsline {chapter}{\numberline {E}Development Tools}{275}{appendix.662}%
\contentsline {chapter}{List of Figures}{278}{dummy.671}%
\contentsline {chapter}{List of Tables}{295}{dummy.673}%
\contentsline {chapter}{Bibliography}{299}{section*.675}%