Collective Excitations of 14N and 10B Nuclei

Ibrahim, Abdullah; Taqi, Ali H.

doi:10.32894/kujss.2016.124396

Cited by 4 publications

(5 citation statements)

References 13 publications

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“…On the other hand we use Skyrme force as a nucleon-nucleon effective interaction. This force consists of two parts, a two-body part and a zero-range three-body part [19], [20].…”

Section: Theory and Methodologymentioning

confidence: 99%

Study of positive parity states form factors for 17O nucleus with Skyrme-Hartree-Fock method

Fatah

Mohammed

2023

KUJSS

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Elastic and inelastic electron scattering form factors for the 17 O nucleus are calculated for the positive parity low-lying states in the momentum transfer interval 0.05-3 fm −1 in the framework of shell model and Skyrme-Hartree-Fock calculations. Also, protons, neutrons, mass and charges root mean square, r.m.s., radii and the charge spatial density distribution are calculated. The ZBME model space out of 12 C nuclei core with rewile interaction have been used. For all selected ground and excited states, Skyrme interactions with SkXcsb and SLy4 parameter, harmonic and Wood-Saxon potentials are adopted in Hartree-Fock theory to generate the mean potential and hence calculate the elements of single-particle matrix and form factors. Also, we have used Tassie model to account for core-polarization effect. Finally, to check the reality of the calculated values, the charges r.m.s. and form factors are discussed and compared to the measured values. A good agreement can be shown by the theoretical results to the measured ones.

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“…On the other hand we use Skyrme force as a nucleon-nucleon effective interaction. This force consists of two parts, a two-body part and a zero-range three-body part [19], [20].…”

Section: Theory and Methodologymentioning

confidence: 99%

Study of positive parity states form factors for 17O nucleus with Skyrme-Hartree-Fock method

Fatah

Mohammed

2023

KUJSS

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“…indices 𝑖𝑗 and 𝑚𝑛 represent the quantum numbers of hole and particle stats, respectively. The compact matrix form of ℎℎ RPA equations has the following form [23,24],…”

Section: Theorymentioning

confidence: 99%

“…Fatema H. Obeed and Baneen S. Abed, used the surface delta and modified surface delta interactions by applying the nuclear shell model to calculate values of excitation energies for isotopes of equal mass number containing two nucleons outside the closed core 114 Sn, these nuclei are; the isotope (Tin) 116 Sn contains two neutrons within the model space (3s1/2, 2d3/2, 1h11/2) and the other isotope is 116 Te (Tellurium) contains two protons within the model space (1g7/2, 2d5/2, 3s1/2, 2d3/2, 1h11/2) [10]. A. K. Hasan et al, investigated on the energy levels and transition probabilities 𝐵 (𝐸2; ↓) and 𝐵 (𝑀1; ↓) for 21,23 Na isotopes by using the (USDA and USDB) interactions in the (𝑠𝑑-shell) model space [11]. S. Akkoyun, investigated the nuclear structure properties of A=49 isobars, the double-magic 40 Ca nucleus was considered an inert core, and fp model space was taken into account for the valance nucleons [12].…”

Section: Introductionmentioning

confidence: 99%

Hole-Hole Collective Excitations in 106, 112, 130Sn Isotopes

Saber,

Taqi

2023

East Eur. J. Phys.

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In this paper, energy-level schemes of neutron rich and reduced electric transition strengths of Tin isotopes 106Sn, 112Sn and 130Sn were studied using collective models, i.e., hole-hole Tamm-Dancoff Approximation (hh TDA) and hole-hole Random Phase Approximation (hh RPA). According to these models, the excited states of closed core A-2 systems with multipolarity J and isospin T can be described as a linear combination of hole-hole (hh) pairs. Therefore, in our approach, the low-lying states of the investigated isotopes 106Sn, 112Sn and 130Sn are obtained by acting two-hole operators on a correlated core 108Sn, 114Sn and 132Sn, respectively. The Hamiltonian is diagonalized within the model space include {1g7/2, 2d5/2, 2d3/2, 3s1/2 and 1h11/2} orbits, using the matrix elements of neutron-neutron (N-N) interaction and modified surface delta interaction (MSDI). The hh TDA and hh RPA are checked by using the resultant eigenvalues and eigenvectors to calculate the excitation energies and reduced electric transition strengths. A comparison had been made between our theoretical predictions and the recent available experimental data. Reasonable agreements were obtained from these comparisons.

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“…The properties of ground-state of atomic nuclei can be studied by Hartree-Fock (HF) [3], [4] or Hartree-Fock-Bogoliubov [5], [6]. There are many models used to study the excited levels, and the Random Phase Approximation (RPA) is considered successful in studying the closed-shell nuclei [7]. Charge density distribution and radii are fundamental nuclear properties applied to probe the nucleus structure and describes the effect of effective interactions on nuclear structure [8], [9] which were measured by electron elastic scattering and muonic X-ray data [10] by methods based on the electromagnetic interaction between the nucleus and electrons or muons.…”

Section: Introductionmentioning

confidence: 99%

Effect of Incompressibility and Symmetry Energy Density on Charge Distribution and Radii of Closed-Shell Nuclei

Amin¹,

Al-Rubaiee²,

Taqi³

2022

KUJSS

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In this work, the effect of incompressibility modulus K NM and symmetry energy density J on charge distribution and root-mean-square radii of neutron R n and proton R p has been investigated for light, medium and heavy closed-shell nuclei 40 20 Ca 20 , 48 20 Ca 28 , 90 40 Zr 50 , 116 50 Sn 66 , 144 62 Sm 82 and 208 62 Pb 126 within the framework of self-consistent Hartree-Fock (HF) with 20 types of Skyrme interactions having wide range of nuclear properties such as incompressibility modulus K NM and symmetry energy density J.The nuclear charge densities have been obtained and compared with the experiment data to give us a picture about the internal structure of the investigated nuclei. Also, the relation between the proton and neutron root-mean-square radii, and nuclear matter properties has been studied and examined by determining and discussion the statistical Pearson linear correlation coefficient, to help in formulating nuclear interaction.

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Collective Excitations of 14N and 10B Nuclei

Cited by 4 publications

References 13 publications

Study of positive parity states form factors for 17O nucleus with Skyrme-Hartree-Fock method

Study of positive parity states form factors for 17O nucleus with Skyrme-Hartree-Fock method

Hole-Hole Collective Excitations in 106, 112, 130Sn Isotopes

Effect of Incompressibility and Symmetry Energy Density on Charge Distribution and Radii of Closed-Shell Nuclei

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