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- W2562865701 abstract "The nucleon single-particle energies (SPEs) of the selected nuclei, that is, <mml:math xmlns:mml=http://www.w3.org/1998/Math/MathML id=M2><mml:mrow><mml:mmultiscripts><mml:mrow><mml:mi mathvariant=normal>O</mml:mi></mml:mrow><mml:mprescripts /><mml:none /><mml:mrow><mml:mn fontstyle=italic>16</mml:mn></mml:mrow></mml:mmultiscripts></mml:mrow></mml:math>, <mml:math xmlns:mml=http://www.w3.org/1998/Math/MathML id=M3><mml:mrow><mml:mmultiscripts><mml:mrow><mml:mi mathvariant=normal>C</mml:mi><mml:mi mathvariant=normal>a</mml:mi></mml:mrow><mml:mprescripts /><mml:none /><mml:mrow><mml:mn fontstyle=italic>40</mml:mn></mml:mrow></mml:mmultiscripts></mml:mrow></mml:math>, and <mml:math xmlns:mml=http://www.w3.org/1998/Math/MathML id=M4><mml:mrow><mml:mmultiscripts><mml:mrow><mml:mi mathvariant=normal>N</mml:mi><mml:mi mathvariant=normal>i</mml:mi></mml:mrow><mml:mprescripts /><mml:none /><mml:mrow><mml:mn fontstyle=italic>56</mml:mn></mml:mrow></mml:mmultiscripts></mml:mrow></mml:math>, are obtained by using the diagonal matrix elements of two-body effective interaction, which generated through the lowest-order constrained variational (LOCV) calculations for the symmetric nuclear matter with the <mml:math xmlns:mml=http://www.w3.org/1998/Math/MathML id=M5><mml:mrow><mml:msub><mml:mrow><mml:mi>A</mml:mi><mml:mi>υ</mml:mi></mml:mrow><mml:mrow><mml:mn fontstyle=italic>18</mml:mn></mml:mrow></mml:msub></mml:mrow></mml:math> phenomenological nucleon-nucleon potential. The SPEs at the major levels of nuclei are calculated by employing a Hartree-Fock inspired scheme in the spherical harmonic oscillator basis. In the scheme, the correlation influences are taken into account by imposing the nucleon effective mass factor on the radial wave functions of the major levels. Replacing the density-dependent one-body momentum distribution functions of nucleons, <mml:math xmlns:mml=http://www.w3.org/1998/Math/MathML id=M6><mml:mi>n</mml:mi><mml:mo stretchy=false>(</mml:mo><mml:mi>k</mml:mi><mml:mo>,</mml:mo><mml:mi>ρ</mml:mi><mml:mo stretchy=false>)</mml:mo></mml:math>, with the Heaviside functions, the role of <mml:math xmlns:mml=http://www.w3.org/1998/Math/MathML id=M7><mml:mi>n</mml:mi><mml:mo stretchy=false>(</mml:mo><mml:mi>k</mml:mi><mml:mo>,</mml:mo><mml:mi>ρ</mml:mi><mml:mo stretchy=false>)</mml:mo></mml:math> in the nucleon SPEs at the major levels of the selected closed shell nuclei is investigated. The best fit of spin-orbit splitting is taken into account when correcting the major levels of the nuclei by using the parameterized Wood-Saxon potential and the <mml:math xmlns:mml=http://www.w3.org/1998/Math/MathML id=M8><mml:mrow><mml:msub><mml:mrow><mml:mi>A</mml:mi><mml:mi>υ</mml:mi></mml:mrow><mml:mrow><mml:mn fontstyle=italic>18</mml:mn></mml:mrow></mml:msub></mml:mrow></mml:math> density-dependent mean field potential which is constructed by the LOCV method. Considering the point-like protons in the spherical Coulomb potential well, the single-proton energies are corrected. The results show the importance of including <mml:math xmlns:mml=http://www.w3.org/1998/Math/MathML id=M9><mml:mi>n</mml:mi><mml:mo stretchy=false>(</mml:mo><mml:mi>k</mml:mi><mml:mo>,</mml:mo><mml:mi>ρ</mml:mi><mml:mo stretchy=false>)</mml:mo></mml:math>, instead of the Heaviside functions, in the calculation of nucleon SPEs at the different levels, particularly the valence levels, of the closed shell nuclei." @default.
- W2562865701 created "2017-01-06" @default.
- W2562865701 creator A5064645058 @default.
- W2562865701 date "2016-01-01" @default.
- W2562865701 modified "2023-09-26" @default.
- W2562865701 title "The Calculation of Single-Nucleon Energies of Nuclei by Considering Two-Body Effective Interaction, n(k,ρ), and a Hartree-Fock Inspired Scheme" @default.
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- W2562865701 doi "https://doi.org/10.1155/2016/2398198" @default.
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