Investigation of the Quadrupole Moment and Form Factors of Some Ca Isotopes

Ali, Ahmed H.

doi:10.21123/bsj.2020.17.2.0502

Cited by 7 publications

(12 citation statements)

References 7 publications

Supporting

Mentioning

Contrasting

Order By: Relevance

“…The reduced matrix elements with single particle of the electron scattering measurable 𝑇 ̂𝛬𝜂 is informed as the sum of the one body density matrix elements (OBDM) times the single particle transition matrix elements and summed over the production which is given by 9 :…”

Section: Theorymentioning

confidence: 99%

“…The states |𝛤 𝑖 ⟩ and |𝛤 𝑓 ⟩ are the initial and final states of the nucleus and 𝛬 = 𝐽𝑇 is the multipolarity. The reduced matrix element with many particle of the electron scattering operator 𝑇 ̂𝛬𝜂 combined from two parts, the first is the "zero ћω" matrix element and the other is the "2ћω" matrix element 9 : are the first and second states of the nucleus , correspondingly.…”

Section: Theorymentioning

confidence: 99%

“…The theory of perturbation with first order shows that the matrix elements of single particle for the higher excited state can be written as 9 :…”

Section: Theorymentioning

confidence: 99%

“…Bohr-Mottelson (B-M) charges effective have been used to study the behavior of Calcium isotopes form factors. To obtain the wave vector by utilizing effective potential 𝑓𝑝𝑑6 and 𝑓𝑝 space model of the two bodies 9 .…”

Section: Introductionmentioning

confidence: 99%

See 3 more Smart Citations

The Effective M3Y Residual Interaction In 41Ca As a Nuclear Diffraction Grating of Electrons

Hussien

Majeed

2022

Baghdad Sci.J

View full text Add to dashboard Cite

The total and individual multipole moments of magnetic electron scattering form factors in 41Ca have been investigated using a widely successful model which is the nuclear shell model configurations keeping in mind of 1f7/2 subshell as an L-S shell and Millinar, Baymann, Zamick as L-S shell (F7MBZ) to give the model space wave vector. Also, harmonic oscillator wave functions have been used as wave function of a single particle in 1f7/2 shell. Nucleus 40Ca as core closed and Core polarization effects have been used as a corrective with first order correction concept to basic computation of L-S shell and the excitement energy has been implemented with 2ћω. The core polarizability effect has been utilized to incorporate the rejected space (core + higher arrangement) via L-S shell with a realism interaction of effective M3Y P2 interaction to connect the model space particles in motion with the spouse (p-h). The two body M3Y interactions have been utilized as an interaction residue to calculate the core polarizability matrix elements. Finally, the theoretical result of the form factor has been compared with the experimental results.

show abstract

Section: Theorymentioning

confidence: 99%

Section: Theorymentioning

confidence: 99%

“…The theory of perturbation with first order shows that the matrix elements of single particle for the higher excited state can be written as 9 :…”

Section: Theorymentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

See 2 more Smart Citations

The Effective M3Y Residual Interaction In 41Ca As a Nuclear Diffraction Grating of Electrons

Hussien

Majeed

2022

Baghdad Sci.J

View full text Add to dashboard Cite

show abstract

“…𝛼, 𝛽 are single-particle between the initial and final state. The Bohr-Mottelson (B.M) formula for the effective charge as follows 18,19,20 :…”

mentioning

confidence: 99%

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

Hameed,

Alwan

2023

Baghdad Sci.J

View full text Add to dashboard Cite

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.

show abstract

Calculation magnetic dipole moments, electric quadrupole moments and form factors for some Ti isotopes

Ali¹,

Alzubadi²

2020

Phys. Scr.

Self Cite

View full text Add to dashboard Cite

This paper presents calculations of the magnetic moments, the quadrupole moments, and the form factors of a number of titanium isotopes as determined using the shell model space. The calculations of the shell model have adopted the model space (MS) with core-polarization effects, which were included for two types of effective g factors and different effective charges. The wave functions are generated using the harmonic oscillator potential (HO) with size parameters b, which for these isotopes are calculated. The one body density matrices (OBDM) for these isotopes were obtained using the NuShellX@MSU code, which used an adopted fpd6 interaction and fp model space. Reasonable results are obtained that show the collapse of the magicity property at neutron number N = 28.

show abstract

Investigation of the Quadrupole Moment and Form Factors of Some Ca Isotopes

Cited by 7 publications

References 7 publications

The Effective M3Y Residual Interaction In 41Ca As a Nuclear Diffraction Grating of Electrons

The Effective M3Y Residual Interaction In 41Ca As a Nuclear Diffraction Grating of Electrons

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

Calculation magnetic dipole moments, electric quadrupole moments and form factors for some Ti isotopes

Contact Info

Product

Resources

About