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

Amin, Shaymaa H.; Al-Rubaiee, Ahmed Aziz; Taqi, Ali H.

doi:10.32894/kujss.2022.135889.1073

Cited by 5 publications

(3 citation statements)

References 44 publications

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“…They depend only on momentum transfer q and energy loss ω, but not on scattering angle θ . They can be divided into different multipoles contributions [18]:…”

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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“…They depend only on momentum transfer q and energy loss ω, but not on scattering angle θ . They can be divided into different multipoles contributions [18]:…”

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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“…here 𝑉 and 𝑉 are the particle-particle and hole-hole matrix elements, respectively. The QRPA states |𝑛⟩ with matching energy 𝐸 can be used to determine the strength or response function [24][25][26],…”

Section: Description Of Calculationsmentioning

confidence: 99%

Isoscalar Giant Octupole Resonance ISGOR of 116Cd using Self-Consistent Skyrme QRPA

Akbar,

Taqi

2023

East Eur. J. Phys.

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Collective models based on the random phase approximation (RPA) are widely used to accurately depict collective modes of response. They can quickly calculate the strength function for the entire nuclear mass range. The quasi-particle random phase approximation (QRPA), which considers the pairing effect, is an enhanced RPA model. It is anticipated that this effect will be significant for open-shell nuclei. In this work, the self-consistent Skyrme Hartree-Fock-Bardeen, Cooper, and Schrieffer (HF-BCS) and QRPA models have been used to study the isoscalar giant octupole resonance (ISGOR) in the 116Cd isotope. Ten Skyrme-type parameters are utilized in the computations since they may be identified by different values of the incompressibility modulus KMN in nuclear matter. The calculated strength distributions and centroid energy are compared with available experimental data. We saw that the strength distributions varied depending on the type of Skyrme-interaction, and we also observed a definite impact of the KNM values on the centroid energy.

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“…[30]) which had been previously used to extract nuclear incompressibility. 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 have been investigated for light, medium, and heavy closed-shell nuclei 40 Ca, 48 Ca, 90 Zr, 116 Sn, 144 Sn, and 208 Pb within the framework of self-consistent HF with 20 types of Skyrme interactions [31].…”

Section: Introductionmentioning

confidence: 99%

Isoscalar monopole response in the neutron-rich molybdenum isotopes using self-consistent QRPA

Taqi,

Mohammed

2023

Nucl. Phys. At. Energy

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The isoscalar giant monopole resonance (ISGMR) of even molybdenum isotopes 92,94,96,98,100Mo has been studied within the Skyrme self-consistent Hartree - Fock - Bardeen, Cooper, and Schrieffer and quasi-particle random phase approximation. Ten sets of Skyrme-type interactions of different values of the nuclear matter incompressibility coefficient KNM are used in the calculations. The calculated strength distributions, centroid energies Ecen, scaled energies Es and constrained energies Econ of ISGMR are compared with available experimental data. Due to the appropriate value of the nuclear matter incompressibility KNM, several types of Skyrme interactions were successful in describing the ISGMR strength distribution in the 92,94,96,98,100Mo isotopes. As a result, high correlations between Ecen and KNM were found.

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

Cited by 5 publications

References 44 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

Isoscalar Giant Octupole Resonance ISGOR of 116Cd using Self-Consistent Skyrme QRPA

Isoscalar monopole response in the neutron-rich molybdenum isotopes using self-consistent QRPA

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