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Transverse Magnetic Form Factor for 13C(e,e) 13C with Core-Polarization Effects

Elastic magnetic M1 electron scattering form factor has been calculated for the ground state J,T=1/2-,1/2 of 13C. The single-particle model is used with harmonic oscillator wave function. The core-polarization effects are calculated in the first-order perturbation theory including excitations up to 5ħω, using the modified surface delta interaction (MSDI) as a residual interaction. No parameters are introduced in this work. The data are reasonably explained up to q~2.5fm-1 .

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Publication Date
Fri Jan 26 2024
Journal Name
Iraqi Journal Of Science
Longitudinal and Transverse Electron Scattering Form Factors for 13C Nucleus with Core-Polarization Effects

Inelastic electron scattering have been studied for (3.68 )
2
1
2
3
MeV

,
(7.55 )
2
1
2
5
MeV

(15.11 )
2
3
2
3
MeV

states in the 13C nucleus. 4He is considered as an inert core with
nine nucleons out of it (the model space of nucleus). Form factors are calculated by
using Cohen-Kurath interaction for 1p-shell model space with Modified Surface
Delta Interaction (MSDI) as a residual interaction for higher configuration. The
study of core-polarization effects on the form factors is based on microscopic
theory, which combines shell model wave functions and configurations with higher
energy as the first order perturbation. The radial wave functions

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Publication Date
Sat Dec 01 2012
Journal Name
Iraqi Journal Of Physics
The effects of Core-polarization on inelastic form factors of 10B

Inelastic transverse and longitudinal form factors of same parity have
been studied for B 10 nucleus in the frame work of the shell model for
many particles, by using He 4 as an inert core and the remaining
particles were distributed in 3 / 2 1 / 2 1p ,1p which form the model
space. The calculations of the present work based on the harmonic
oscillator potential with fixed size parameter (b). Here we use the
first order correction for the perturbation theory and the interaction
from Cohen-Kurath (CK). Adding the core-polarization effects to
form factors calculations gave a good agreement with the
experimental data. Calculations have been performed for the
transverse excited states of: (1 ,0 )at ( E  0.178M

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Publication Date
Thu Apr 27 2017
Journal Name
Ibn Al-haitham Journal For Pure And Applied Sciences
Determining of Cross Sections for 16O(n,α)13C reaction from Cross Sections of 13C(α,n)16O for the ground state

  In this study, light elements for 13C , 16O for  (α,n) and (n,α) reactions as well as α-particle energy  from 2.7 MeV  to 3.08 MeV are used as far as the data of reaction cross sections are available. The more recent cross sections data of (α,n) and (n,α) reactions are reproduced in fine steps 0.02 MeV for  16O (n,α) 13C  in the specified energy range, as well as cross section (α,n)  values were derived from the published data of (n,α) as a function of α-energy in the same fine energy steps by using the principle inverse reactions. This calculation involves only the ground state of  13C , 16O  in the reactions 13C (α,n) 16O  and  16O (n,α) 13C.

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Publication Date
Fri Nov 24 2023
Journal Name
Iraqi Journal Of Science
On Generalized Leftly e ─ Core Transference

Richards in 1996 introduced the idea of leftly e ─ core transference by using many conditions, including that the difference between the colums (k) is greater than of weight. In this paper, we generalized this idea without the condition of Richards depending on the mathematical and computational solution.

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Publication Date
Fri Jul 01 2022
Journal Name
Iraqi Journal Of Science
Core Polarization Effects on the Inelastic Longitudinal Electron Scattering Form Factors of Ti 48,50 and Cr 52,54 nuclei

In this paper, inelastic longitudinal electron scattering form factors C2 and C4
transitions have been studied in Ti 48,50
and Cr 52,54
nuclei with the aid of shell
model calculations. The core polarization transition density was evaluated by
adopting the shape of Tassie model togther with the derived form of the ground state
two-body charge density distributions (2BCDD's). The following transitions have
been investigated; 0 2 2 2 1 1
   and 0 2 4 2 1 1
   of Ti 48 , 0 3 2 3 1 1
   and
0 3 4 3 1 1
   of Ti 50 , 0 2 2 2 1 1
   and 0 2 4 2 1 1
   of Cr 52 and
0 3 2 3 1 1
   and 0 3 4 3 1 1
   of Cr 54 nuclei. It is fou

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Publication Date
Sun Jan 13 2019
Journal Name
Iraqi Journal Of Physics
Core-polarization effect in longitudinal electron scattering form factors of 65Cu nucleus

Inelastic longitudinal electron scattering form factors to 2+ and 4+ states in 65Cu nucleus has been calculated in the (2p3/2 1f 5/2 2p1/2) shell model space with the F5PVH effective interaction. The harmonic oscillator potential has been applied to calculate the wave functions of radial single-particle matrix elements. Two shell model codes, CP and NUSHELL are used to obtain results. The form factor of inelastic electron scattering to 1/21−, 1/22−, 3/22−, 3/23−, 5/21−, 5/22− and 7/2- states and finding the transition probabilities B (C2) (in units of e2 fm4) for these transitions and B (C4) (in units of e2 fm8) for the transition 7/2-, and comparing them with experimental data. Both the form factors and reduced transition pr

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Publication Date
Sun Jan 13 2019
Journal Name
Iraqi Journal Of Physics
Inelastic transverse magnetic dipole electron scattering form factors in 48Ca (restricted optimum configurations)

Inelastic transverse magnetic dipole electron scattering form
factors in 48Ca have been investigated through nuclear shell model
in an excited state energy Ex= 10.23 MeV which is so called
"mystery case" with different optional choices like effective
interaction, restricted occupation and core polarization interaction.
40Ca as an inert core will be adopted and four orbits with eight
particles distributed mainly in 2p1f model space and in some extend
restricted to make sure about the major accuse about this type of
transition. Theoretical results have been constituted mainly with
experimental data and compared with some important theoretical
results of the same transition.

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Publication Date
Wed Dec 01 2010
Journal Name
Iraqi Journal Of Physics
Elastic magnetic electron scattering form factor in Ca-41 (M3Y fitting parameters consideration)

Elastic magnetic electron scattering form factors in Ca-41 have been investigated. 1f7/2 subshell has been adopted as a model space with one neutron, and Millinar, Baymann and Zamick 1f7/2 model space effective interaction (F7MBZ) has been used as a model space effective interaction to generate the model space vectors for the M1, M3, M5, M7, and total form factors. Discarded space (core and higher configuration orbits) have been included through the first order perturbation theory to couple the partice-hole pair of excitation with 2ћω excitation energy in the calculation of the form factors and regarding the realistic interaction density dependence M3Y as a core polarization interaction with five sets of modern fitting parameters. Fina

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Publication Date
Fri Dec 01 2023
Journal Name
Iraqi Journal Of Physics
Study of the Symmetry Energy and the Nuclear Equation of State for 13O -13B and 13N-13C Mirror Nuclei

In parallel with the shell model using the harmonic oscillator's single-particle wave functions, the Hartree-Fock approximation was also used to calculate the neutron skin thickness, the mirror charge radii, and the differences in proton radii for 13O-13B and 13N-13C mirror nuclei. The calculations were done for both mirror nuclei in the psdpn model space. Depending on the type of potential used, the calculated values of skin thickness are affected. The symmetry energy and the symmetry energy's slope at nuclear saturation density were also determined, and the ratio of the density to the saturation density of nuclear matter and the symmetry energy has a nearly linear correlation. The mirror ener

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Publication Date
Tue Nov 30 2021
Journal Name
Journal Of The Indonesian Mathematical Society