Spectroscopic properties of odd-mass rare-earth nuclei within a mean-field approach with time-reversal symmetry breaking

The study of nuclear structure within mean-field approach has been in spotlight in recent years. For odd-mass nuclei, the one unpaired nucleon causes time-reversal symmetry breaking at the mean-field level. One way to address this issue is by adopting the Hartree-Fock-plus-Bardeen-Cooper-Schrieffer...

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Main Author:	Mohamad, Nurhafiza
Format:	Thesis
Language:	English
Published:	2019
Subjects:	QC Physics
Online Access:	http://eprints.utm.my/id/eprint/101939/1/NurhafizaMohamadNorMFS2019.pdf
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id	my-utm-ep.101939
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spelling	my-utm-ep.1019392023-07-25T09:37:44Z Spectroscopic properties of odd-mass rare-earth nuclei within a mean-field approach with time-reversal symmetry breaking 2019 Mohamad, Nurhafiza QC Physics The study of nuclear structure within mean-field approach has been in spotlight in recent years. For odd-mass nuclei, the one unpaired nucleon causes time-reversal symmetry breaking at the mean-field level. One way to address this issue is by adopting the Hartree-Fock-plus-Bardeen-Cooper-Schrieffer (HF+BCS) approach with self-consistent blocking (SCB). In the present work, some spectroscopic properties of odd-mass nuclei in the rare-earth region with atomic mass number, A in the range of 157 < A < 181 have been investigated within the HF+BCS framework with SCB using SIII Skyrme parameterization. The calculations were limited to nuclear shapes with axial and parity symmetries. In the BCS framework, seniority force was used to approximate the pairing interaction. The pairing strengths were determined by fitting the neutron and proton pairing strengths to reproduce experimental odd-even mass staggering and moment of inertia. The neutron and proton pairing strengths were found to be rather similar in both fitting procedures, with energy of 16 MeV and 15 MeV for neutron and proton, respectively. Calculations of odd-mass nuclei were performed starting from neighboring even-even nuclei. Spectroscopic properties that have been investigated are the spin and parity, charge radii, r , electric quadrupole moment, Q20, spectroscopic quadrupole moment, Q2(s)'), magnetic dipole moment, u, moment of inertia, I and band-head energy spectra. Overall, a qualitative agreement was obtained between the calculated and experimental data of all the properties mentioned. It can be concluded that this approach is able to describe the ground-state nuclear properties and rotational band-head of the chosen rare-earth nuclei. 2019 Thesis http://eprints.utm.my/id/eprint/101939/ http://eprints.utm.my/id/eprint/101939/1/NurhafizaMohamadNorMFS2019.pdf application/pdf en public http://dms.library.utm.my:8080/vital/access/manager/Repository/vital:146298 masters Universiti Teknologi Malaysia, Faculty of Science Faculty of Science
institution	Universiti Teknologi Malaysia
collection	UTM Institutional Repository
language	English
topic	QC Physics
spellingShingle	QC Physics Mohamad, Nurhafiza Spectroscopic properties of odd-mass rare-earth nuclei within a mean-field approach with time-reversal symmetry breaking
description	The study of nuclear structure within mean-field approach has been in spotlight in recent years. For odd-mass nuclei, the one unpaired nucleon causes time-reversal symmetry breaking at the mean-field level. One way to address this issue is by adopting the Hartree-Fock-plus-Bardeen-Cooper-Schrieffer (HF+BCS) approach with self-consistent blocking (SCB). In the present work, some spectroscopic properties of odd-mass nuclei in the rare-earth region with atomic mass number, A in the range of 157 < A < 181 have been investigated within the HF+BCS framework with SCB using SIII Skyrme parameterization. The calculations were limited to nuclear shapes with axial and parity symmetries. In the BCS framework, seniority force was used to approximate the pairing interaction. The pairing strengths were determined by fitting the neutron and proton pairing strengths to reproduce experimental odd-even mass staggering and moment of inertia. The neutron and proton pairing strengths were found to be rather similar in both fitting procedures, with energy of 16 MeV and 15 MeV for neutron and proton, respectively. Calculations of odd-mass nuclei were performed starting from neighboring even-even nuclei. Spectroscopic properties that have been investigated are the spin and parity, charge radii, r , electric quadrupole moment, Q20, spectroscopic quadrupole moment, Q2(s)'), magnetic dipole moment, u, moment of inertia, I and band-head energy spectra. Overall, a qualitative agreement was obtained between the calculated and experimental data of all the properties mentioned. It can be concluded that this approach is able to describe the ground-state nuclear properties and rotational band-head of the chosen rare-earth nuclei.
format	Thesis
qualification_level	Master's degree
author	Mohamad, Nurhafiza
author_facet	Mohamad, Nurhafiza
author_sort	Mohamad, Nurhafiza
title	Spectroscopic properties of odd-mass rare-earth nuclei within a mean-field approach with time-reversal symmetry breaking
title_short	Spectroscopic properties of odd-mass rare-earth nuclei within a mean-field approach with time-reversal symmetry breaking
title_full	Spectroscopic properties of odd-mass rare-earth nuclei within a mean-field approach with time-reversal symmetry breaking
title_fullStr	Spectroscopic properties of odd-mass rare-earth nuclei within a mean-field approach with time-reversal symmetry breaking
title_full_unstemmed	Spectroscopic properties of odd-mass rare-earth nuclei within a mean-field approach with time-reversal symmetry breaking
title_sort	spectroscopic properties of odd-mass rare-earth nuclei within a mean-field approach with time-reversal symmetry breaking
granting_institution	Universiti Teknologi Malaysia, Faculty of Science
granting_department	Faculty of Science
publishDate	2019
url	http://eprints.utm.my/id/eprint/101939/1/NurhafizaMohamadNorMFS2019.pdf
_version_	1776100808011546624

Spectroscopic properties of odd-mass rare-earth nuclei within a mean-field approach with time-reversal symmetry breaking

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