Calculations of Quadrupole Deformation Parameters for Nuclei in <i>fp</i> shell

Ali, Ahmed H.; Hassoon, Samah O.; Tafash, Haitham T.

doi:10.1088/1742-6596/1178/1/012010

Cited by 3 publications

(7 citation statements)

References 21 publications

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“…Calculations of B(E2) are provided using the B-M effective charges [11] and cw interaction (CHUNG-WILDENTAL) [15] for isotopes 18,20,22,24,26,28 Ne in comparison with the experimental data [16] as shown in Table (2). The calculation of the deformation parameter b 2th from the B(E2) was adopted according to equation (7) and the results were compared with the experimental data [14]. The theoretical calculations for the B(E2) and b 2th -in Table (2), showed a clear closeness between these calculations and the experimental data [14].…”

Section: Resultsmentioning

confidence: 93%

“…The B(E2) values were calculated using the usdb interaction (Universal sd-shell interaction B) [13] for isotopes 18,20,22,24,26,28 Ne and tabulated in Table (1). The quadrupole deformation parameters (b 2 ) were calculated from B(E2) values according to equation (7) and the results were compared with the experimental data [14]. The nucleus of 18 Ne has magic Table 1 The quadrupole deformation parameter for isotopes 18 , 20 , 22 , 24 , 26 ,28 Ne with usdb interaction [13].…”

Section: Resultsmentioning

confidence: 99%

“…Also, the quadrupole deformation is calculated from different model spaces such as the C nucleus for pshell, the O, Ne and Mg nuclei for sd -shell and the Ca nucleus for fp shell using two methods. The first method from the reduced quadrupole transition B(E2) adopted equation (7) to calculate quadrupole deformation parameter (b 2th ) where B(E2) was taken from Ref. [9].…”

Section: Resultsmentioning

confidence: 99%

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Study of Deformation Parameters (β2, δ) For 18,20,22,24,26,28Ne isotopes in sdpf shell

Ali¹,

Idrees²

2020

Karbala International Journal of Modern Science

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The quadrupole deformation is basic to study the shape transitions; it is possible to predict many important properties of even-even nuclei as a function of the deformation parameter. The deformations of nuclei are important for understanding their shapes prolate or oblate. The quadrupole deformation parameters were calculated by the transition probability B (E2) for 18, 20, 22, 24, 26,28 Ne isotopes, were adopted different interactions three. The calculations are performed with the Bohr-Mottelson (B-M) effective charges, which represent the effect of the core-polarizations. Also, the deformation parameters were calculated for different nuclei and adopted two methods of calculation: from reduced the transition probability (B2) and from the intrinsic quadrupole moment. In calculations, the Shell model is adopted.

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Section: Resultsmentioning

confidence: 93%

Section: Resultsmentioning

confidence: 99%

Section: Resultsmentioning

confidence: 99%

See 1 more Smart Citation

Study of Deformation Parameters (β2, δ) For 18,20,22,24,26,28Ne isotopes in sdpf shell

Ali¹,

Idrees²

2020

Karbala International Journal of Modern Science

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“…According to theoretical conclusions 5,6,7 the shape in light neutron-rich nuclei implies decoupled quadrupole movements between protons and neutrons in those nuclei. A shell model with selfconsistent Hartree-Fock computations has been used by some researchers to examine the nuclear structure 8 .…”

Section: Introductionmentioning

confidence: 99%

Study the Nuclear Structure of Some Even-Even Ca Isotopes Using the Microscopic Theory

Hameed,

Alwan

2023

Baghdad Sci.J

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The root-mean square-radius of proton, neutron, matter and charge radii, energy level, inelastic longitudinal form factors, reduced transition probability from the ground state to first-excited 2+ state of even-even isotopes, quadrupole moments, quadrupole deformation parameter, and the occupation numbers for some calcium isotopes for A=42,44,46,48,50 are computed using fp-model space and FPBM interaction. 40Ca nucleus is regarded as the inert core for all isotopes under this model space with valence nucleons are moving throughout the fp-shell model space involving 1f7/2, 2p3/2, 1f5/2, and 2p1/2 orbits. Model space is used to present calculations using FPBM interaction, and with the effects of core-polarization are obtained by the first order core polarization through a microscopic theory is called modified surface delta interaction which allows all higher orbits are excited by particle-hole excitation from the core and model space orbits. Also, each isotope's effective charge is determined by using the collective model by Bohr and Mottelson formula. The current result corresponds to the experimental data by taking into account core polarization effects.

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“…The reduced quadrupole deformation parameter can be denoted by the symbol β 2 which can be calculated from the transition rate (reduced electric transition probability) B(E2). The quadrupole-deformed nuclei were classified according to their intrinsic electric quadrupole moment Q 0 , that is, as oblate when Q 0 is greater than zero or prolate when Q 0 is less than zero and, as spherical nuclei when Q 0 is equal to zero [11]. Novoselsky et al [12] studied two interactions, fpm13 and fpd6, in terms of giving good, suitable energy levels for nuclei in the lower part of the fp shell, where the mass factors, The code for NuShellX@MSU is written by Brown [13] and is achieved via model spaces and Hamiltonian data with regard to generating inputs for NU-SH.…”

Section: Introductionmentioning

confidence: 99%

A comparison between theoretical results and experimental data of transition probability B(E2), deformation parameter, and intrinsic quadrupole moments for different nuclei with mass number A = 44

Ali

2023

Nucl. Phys. At. Energy

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A comparison has been made between theoretical results and the experimental data for different nuclei (even-even) that possess the same mass number A = 44 and which have close values of the experimental deformation parameter such as 16S44, 18Ar44, 20Ca44 and 22Ti44. The core-polarization effects and model space were adopted through the inclusion of effective charges. Transition probability B(E2), theoretical deformation parameters, and theoretical intrinsic quadruple moments were calculated using two different interactions for each case, the first case the hasp interaction for nuclei in the sd shell, and the fpd6 interaction for nuclei in the fp shell, the second case the vpnp interaction for nuclei in the sd shell, and the kb3 interaction for nuclei in the fp shell, as well as adopted to different effective charges, such as Bohr and Mottelson effective charges, standard effective charges, and the effective charges from program NuShellX. The theoretical results of the transition probability B(E2), deformations parameters, and intrinsic quadruple moments were compared and found to be close to the experimental values for these nuclei.

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Calculations of Quadrupole Deformation Parameters for Nuclei in fp shell

Cited by 3 publications

References 21 publications

Study of Deformation Parameters (β2, δ) For 18,20,22,24,26,28Ne isotopes in sdpf shell

Study of Deformation Parameters (β2, δ) For 18,20,22,24,26,28Ne isotopes in sdpf shell

Study the Nuclear Structure of Some Even-Even Ca Isotopes Using the Microscopic Theory

A comparison between theoretical results and experimental data of transition probability B(E2), deformation parameter, and intrinsic quadrupole moments for different nuclei with mass number A = 44

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