## A Study of the Isoscalar Giant Monopole Resonance: The Role of Symmetry Energy in Nuclear Incompressibility in the Open-Shell NucleiThis thesis reports on investigations of a specific collective mode of nuclear vibration, the isoscalar giant monopole resonance (ISGMR), the nuclear "breathing mode", the energy of which is directly related to a fundamental property of nuclei—the nuclear incompressibility. The alpha inelastic scattering experiments reported in this thesis have been critical to answering some fundamental questions about nuclear incompressibility and the symmetry energy, quantities that are crucial to our understanding of a number of phenomena in nuclear physics and astrophysics, including collective excitations in nuclei, radii of neutron stars, and the nature of stellar collapse and supernova explosions. The work described included three sets of experiments and subsequent sophisticated data analysis, both leading to results that have been welcomed by the community and recognised as important contributions to the field. |

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### Contents

1 | |

2 Theory of Collective Motion | 17 |

3 Experimental Overview and Data Reduction | 27 |

4 Data Analysis | 46 |

5 Results and Discussion | 61 |

6 Summary and Current Status | 73 |

A Multipole Decomposition Analysis Results | 77 |

B Isoscalar Giant Dipole and Isoscalar Giant Quadrupole Resonances | 88 |

95 | |

### Other editions - View all

A Study of the Isoscalar Giant Monopole Resonance: The Role of Symmetry ... Darshana Chandrakant Patel No preview available - 2016 |

A Study of the Isoscalar Giant Monopole Resonance: The Role of Symmetry ... DARSHANA CHANDRAKANT. PATEL No preview available - 2018 |

### Common terms and phrases

ˇ ˇ ˇ ĀLab angle angular distributions obtained anode black squares calibration Cd isotopes investigated corresponding contributions cross-section spectra obtained cyan line density dependence deuteron DWBA Electric Resonances EWSR Ex MeV excitation energy excited state cross-section experiment experimental data points extracted Faraday Cup Fit Expt focal plane four multipoles Giant Monopole Resonance giant resonance Grand Raiden inelastic scattering interaction inverse kinematics ISGDR ISGMR centroid energies ISGMR strength distributions ISGQR Isoscalar Giant Monopole isospin isovector IVGDR line for L lines represent Lorentzian Lorentzian fit parameters MDA analysis MDA fits MEM effect mode multipolarity multipole decomposition analysis MWDC neutron neutron stars nuclear incompressibility nuclear matter nuclei nucleon OMPs optical potential orange line oscillations particle protons RCNP red lines relativistic Results of MDA shown in Fig Sn isotopes spectrometer spectrum symmetric nuclear matter symmetry energy Table target theoretical thesis transition density transition potential value of K1