Investigating nuclear deformation and longitudinal form factors in some fp-shell nuclei using the shell model and Hartree - Fock approximation

The current study examined the nuclear deformation of certain Titanium and Chromium isotopes using the shell model and Hartree - Fock approximation within the fp-shell model space. The research calculated magnetic dipole and electric quadrupole moments, inelastic longitudinal Coulomb electroexcitati...

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Main Authors: A. A. Alzubadi, R. T. Mahdi
Format: Article
Language:English
Published: Institute for Nuclear Research, National Academy of Sciences of Ukraine 2025-06-01
Series:Ядерна фізика та енергетика
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Online Access:https://jnpae.kinr.kyiv.ua/26.2/Articles_PDF/jnpae-2025-26-0113-Alzubadi.pdf
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author A. A. Alzubadi
R. T. Mahdi
author_facet A. A. Alzubadi
R. T. Mahdi
author_sort A. A. Alzubadi
collection DOAJ
description The current study examined the nuclear deformation of certain Titanium and Chromium isotopes using the shell model and Hartree - Fock approximation within the fp-shell model space. The research calculated magnetic dipole and electric quadrupole moments, inelastic longitudinal Coulomb electroexcitation form factors, and low-lying excitation energies. The one-body transition density matrix elements for each transition in the fp-shell model space were computed using the FPD6 two-body effective interaction. The impact of varying the single-particle nuclear potentials, such as a harmonic oscillator, Woods - Saxon, and Skyrme - Hartree - Fock, was investigated in comparison with experimental data. Discrepancies with the experimental data led to adjustments in the two-body effective interactions or the model for calculating the effective charge of the nucleus for specific transitions. Furthermore, the study analyzed the potential energy surface and nuclear density distribution as a function of the quadrupole deformation parameter β2 using the Hartree - Fock + Bardeen - Cooper - Schrieffer method.
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2074-0565
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publisher Institute for Nuclear Research, National Academy of Sciences of Ukraine
record_format Article
series Ядерна фізика та енергетика
spelling doaj-art-708f3d87f2244140ac194323d3354d2a2025-08-20T02:37:02ZengInstitute for Nuclear Research, National Academy of Sciences of UkraineЯдерна фізика та енергетика1818-331X2074-05652025-06-01262113129https://doi.org/10.15407/jnpae2025.02.113Investigating nuclear deformation and longitudinal form factors in some fp-shell nuclei using the shell model and Hartree - Fock approximationA. A. Alzubadi0R. T. Mahdi1Department of Physics, College of Science, University of Baghdad, Baghdad, IraqDepartment of Physics, College of Science, University of Baghdad, Baghdad, IraqThe current study examined the nuclear deformation of certain Titanium and Chromium isotopes using the shell model and Hartree - Fock approximation within the fp-shell model space. The research calculated magnetic dipole and electric quadrupole moments, inelastic longitudinal Coulomb electroexcitation form factors, and low-lying excitation energies. The one-body transition density matrix elements for each transition in the fp-shell model space were computed using the FPD6 two-body effective interaction. The impact of varying the single-particle nuclear potentials, such as a harmonic oscillator, Woods - Saxon, and Skyrme - Hartree - Fock, was investigated in comparison with experimental data. Discrepancies with the experimental data led to adjustments in the two-body effective interactions or the model for calculating the effective charge of the nucleus for specific transitions. Furthermore, the study analyzed the potential energy surface and nuclear density distribution as a function of the quadrupole deformation parameter β2 using the Hartree - Fock + Bardeen - Cooper - Schrieffer method.https://jnpae.kinr.kyiv.ua/26.2/Articles_PDF/jnpae-2025-26-0113-Alzubadi.pdfshell modelfp-shell model spaceskyrme - hartree - fockquadrupole deformation parametershartree - fock + bardeen - cooper - schrieffer.
spellingShingle A. A. Alzubadi
R. T. Mahdi
Investigating nuclear deformation and longitudinal form factors in some fp-shell nuclei using the shell model and Hartree - Fock approximation
Ядерна фізика та енергетика
shell model
fp-shell model space
skyrme - hartree - fock
quadrupole deformation parameters
hartree - fock + bardeen - cooper - schrieffer.
title Investigating nuclear deformation and longitudinal form factors in some fp-shell nuclei using the shell model and Hartree - Fock approximation
title_full Investigating nuclear deformation and longitudinal form factors in some fp-shell nuclei using the shell model and Hartree - Fock approximation
title_fullStr Investigating nuclear deformation and longitudinal form factors in some fp-shell nuclei using the shell model and Hartree - Fock approximation
title_full_unstemmed Investigating nuclear deformation and longitudinal form factors in some fp-shell nuclei using the shell model and Hartree - Fock approximation
title_short Investigating nuclear deformation and longitudinal form factors in some fp-shell nuclei using the shell model and Hartree - Fock approximation
title_sort investigating nuclear deformation and longitudinal form factors in some fp shell nuclei using the shell model and hartree fock approximation
topic shell model
fp-shell model space
skyrme - hartree - fock
quadrupole deformation parameters
hartree - fock + bardeen - cooper - schrieffer.
url https://jnpae.kinr.kyiv.ua/26.2/Articles_PDF/jnpae-2025-26-0113-Alzubadi.pdf
work_keys_str_mv AT aaalzubadi investigatingnucleardeformationandlongitudinalformfactorsinsomefpshellnucleiusingtheshellmodelandhartreefockapproximation
AT rtmahdi investigatingnucleardeformationandlongitudinalformfactorsinsomefpshellnucleiusingtheshellmodelandhartreefockapproximation