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A study of some nuclear structure properties of 11C, 13N, 15O, 18F, 52Mn, 52Fe, 60Cu, 62Zn, 63Zn, 66Ga, 68Ga, 76Br, 81Rb, 82Rb, 82Sr, 83Sr, 86Y, 89Zr and 92Rb nuclei used for PET in the axial deformation

Abstract

In this paper, we mainly investigated important nuclear structure properties of nuclide used in positron-emission tomography for 13 different Skyrme force parameters in the axial deformation such as the binding energy, root mean square charge, proton and density radii, neutron skin thicknesses, quadrupole deformation parameter (β2), proton and neutron quadrupole moments (Qm). To analyze accuracy of the obtained results, the calculated data also were compared with available experimental and the theoretical results in the literature, such as relativistic mean-field theory and the finite-range liquid-drop model. According to Hartree–Fock–Bogolyibov approach with the axial deformation, we discussed Skyrme force parameters on the basis of the obtained result. Further, when taking into account the enormous number of the existing Skyrme-force parameterizations, it has been noticed the obtained results reveal appropriate Skyrme force parameters for each nucleus.

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Correspondence to Ozan Artun.

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Artun, O. A study of some nuclear structure properties of 11C, 13N, 15O, 18F, 52Mn, 52Fe, 60Cu, 62Zn, 63Zn, 66Ga, 68Ga, 76Br, 81Rb, 82Rb, 82Sr, 83Sr, 86Y, 89Zr and 92Rb nuclei used for PET in the axial deformation. Indian J Phys 92, 1449–1460 (2018). https://doi.org/10.1007/s12648-018-1230-4

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  • DOI: https://doi.org/10.1007/s12648-018-1230-4

Keywords

  • Nuclear structure
  • Deformation
  • Skyrme force parameters

PACS Nos.

  • 21.60.−n
  • 21.10.Dr
  • 21.10.Ft