The effects of core polarisation on some even–even sd-shell nuclei using Michigan three-range Yukawa and modified surface delta interactions

Raheem, Ehsan M; Kadhim, Raheem Obaid; Salman, Nadher A.

doi:10.1007/s12043-018-1706-y

Cited by 4 publications

(4 citation statements)

References 30 publications

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“…The reduced matrix elements can be expressed in two parts; the first one is the Model Space (MS) matrix element and the second one is the Core Polarization (CP) matrix element [16]. We have…”

Section: Theoretical Frameworkmentioning

confidence: 99%

“…Now, we calculate the core polarization matrix element for the Coulomb form factors with the interactions M3Y and MSDI. The M3Y interaction has the form [16]:…”

Section: Theoretical Frameworkmentioning

confidence: 99%

“…where 𝑉 c , 𝑉 l.s , and 𝑉 ten are used for the central term, spin-orbit term, and tensor term, respectively [16].…”

Section: Theoretical Frameworkmentioning

confidence: 99%

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Comparison between the Theoretical Calculation of Coulomb Form Factors and Experimental Data for 12C and 20Ne Nuclei

Dlshad

Fatah

2023

Ukr. J. Phys.

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The Coulomb form factors for the elastic and inelastic electron-nucleus scatterings have been calculated for 12C and 20Ne nuclei in the ground and excited states with the same parity. We use a microscopic theory involving the effects from high configurations outside the model space, which are called the Core Polarization (CP) effects. For the core polarization matrix elements, the realistic Michigan sum of the three-range Yukawa (M3Y) interaction and the Modified Surface Delta Interaction (MSDI) are used as the two-body interactions. Additionally, the Harmonic Oscillators (HO) potential is applied to calculate wave functions. In the final step, a comparison has been made between the theoretical calculations of Coulomb form factors based on (M3Y) and (MSDI) interactions and the available experimental data. It is noticed that the Coulomb form factors for the (M3Y) interaction give a sensible delineation of the measured data.

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Section: Theoretical Frameworkmentioning

confidence: 99%

“…Now, we calculate the core polarization matrix element for the Coulomb form factors with the interactions M3Y and MSDI. The M3Y interaction has the form [16]:…”

Section: Theoretical Frameworkmentioning

confidence: 99%

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Comparison between the Theoretical Calculation of Coulomb Form Factors and Experimental Data for 12C and 20Ne Nuclei

Dlshad

Fatah

2023

Ukr. J. Phys.

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“…At present, Raheem et al [13] have been calculated the elastic Coulomb C 0 form factors for a few sd-shell nuclei using nucleon-nucleon effective interaction, which is two-body (Michigan sum of three range Yukawa [M3Y]) as residual interactions with considering the CP matrix elements. This work is devoted to calculate the theoretical Coulomb electron scattering form factors for Be 9 by considering the role of the MS besides the CP effects using MSDI and the realistic interaction named M3Y including root mean square charge density along with charge radii for the ground states.…”

Section: Introductionmentioning

confidence: 99%

Elastic and Inelastic Electron-Nucleus Scattering Form Factors for Be9 Nucleus

2020

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The computations of the elastic and inelastic Coulomb form factors for the electron-nucleus scattering of Beryllium nucleus Be9 have performed with Core Polarization (CP) effects including the realistic Michigan sum of Three Range Yukawa (M3Y) Interaction, and the other residual interaction which is Modified Surface Delta Interaction (MSDI). In addition to mean square root charge density and charge radii for the ground state. The perturbation theory was adopted to compute the Core Polarization by using the Harmonic Oscillators (HO) potential to calculate single-particle radial wave functions. In the comparison between the theoretical calculations of Coulomb form factors by (MSDI) interaction, realistic (M3Y) interaction, and the experimental results that measured before, it noticed that the Coulomb form factors for the (M3Y) interaction gave a reasonable depiction of the measured data.

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Study the excitation energies of 62Ni nucleus as a function of the classical coupling angle within the nuclear shell model

Hasan

Hameed

2023

The SECOND INTERNATIONAL SCIENTIFIC CONFERENCE (SISC2021): College of Science, Al-Nahrain University

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The effects of core polarisation on some even–even sd-shell nuclei using Michigan three-range Yukawa and modified surface delta interactions

Cited by 4 publications

References 30 publications

Comparison between the Theoretical Calculation of Coulomb Form Factors and Experimental Data for 12C and 20Ne Nuclei

Comparison between the Theoretical Calculation of Coulomb Form Factors and Experimental Data for 12C and 20Ne Nuclei

Elastic and Inelastic Electron-Nucleus Scattering Form Factors for Be9 Nucleus

Study the excitation energies of 62Ni nucleus as a function of the classical coupling angle within the nuclear shell model

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