scholarly journals Inelastic Form Factor Calculations for 46,48,50Ti Isotopes Using Tassie Model

2021 ◽  
Vol 2021 ◽  
pp. 1-4
Author(s):  
Mohanad H. Oleiwi
Keyword(s):  
Experimental Data ◽  
Wave Function ◽  
Momentum Transfer ◽  
Good Description ◽  
Effective Interaction ◽  
Form Factors ◽  
Model Space ◽  
Single Particle Wave Function ◽  
Particle Wave Function ◽  
Theoretical Results

Inelastic form factors of electrical transition have been calculated for 46,48,50Ti isotopes using the Tassie model. The form factors have been calculated for different exciting energies. The harmonic oscillator (HO) wave function has been used as a single-particle wave function. The model space has been considered as 1f7/2, 2p3/2, 2p1/2, and 2f5/2. Gx1 has been used as effective interaction in all calculations. In all calculations, the effective charge has been considered as 1.5e for proton and 0.5e for neutron. All obtained results have been compared with data from an experiment. The calculations show the Tassie model gives a good description of longitudinal form factors of 46,48,50Ti isotopes in E(2+) transitions as compared with experimental data, especially in the region below 2 fm−1 of momentum transfer, but in the E(4+), the theoretical results deviated slightly from experimental data especially in the region greater than 1.5 fm−1 of momentum transfer.

scholarly journals Study of baryon octet charge form factors in perturbative chiral quark model

2014 ◽  
Vol 29 ◽  
pp. 1460252
Author(s):  
X. Y. Liu ◽  
K. Khosonthongkee ◽  
A. Limphirat ◽  
Y. Yan
Keyword(s):  
Experimental Data ◽  
Wave Function ◽  
Quark Model ◽  
Form Factors ◽  
Baryon Octet ◽  
Chiral Quark Model ◽  
Charge Form ◽  
Quark Wave Function ◽  
Theoretical Results ◽  
Good Agreement

The charge form factors of baryon octet are studied in the perturbative chiral quark model (PCQM). The relativistic quark wave function is extracted by fitting the theoretical results of the nucleon charge form factors to the experimental data and the predetermined quark wave function is applied to study the charge form factors of other octet baryons. The PCQM results are found, based on the predetermined quark wave function, in good agreement with the experimental data.

scholarly journals Core-polarization effect in longitudinal electron scattering form factors of 65Cu nucleus

2019 ◽  
Vol 14 (31) ◽  
pp. 13-27
Author(s):  
Adie D. Salman
Keyword(s):  
Experimental Data ◽  
Shell Model ◽  
Electron Scattering ◽  
Transition Probabilities ◽  
Effective Interaction ◽  
Form Factors ◽  
Model Space ◽  
Inelastic Electron ◽  
Core Polarization ◽  
Reduced Transition Probabilities

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 probabilities with core-polarization effects gave a reasonable description of the experimental data.

Determination of hyperon properties through the variational method considering the hyperfine interaction

2019 ◽  
Vol 28 (10) ◽  
pp. 1950087 ◽  
Author(s):  
S. M. Moosavi Nejad ◽  
A. Armat
Keyword(s):  
Experimental Data ◽  
Wave Function ◽  
Ground State ◽  
Radiative Decay ◽  
Magnetic Moments ◽  
Wave Functions ◽  
Decay Widths ◽  
Free Parameters ◽  
Theoretical Results

Performing a fit procedure on the hyperon masses, we first determine the free parameters in the Cornell-like hypercentral potential between the constituent quarks of hyperons in their ground state. To this end, using the variational principle, we apply the hyperspherical Hamiltonian including the Cornell-like hypercentral potential and the perturbation potentials due to the spin–spin, spin–isospin and isospin–isospin interactions between constituent quarks. In the following, we compute the hyperon magnetic moments as well as radiative decay widths of spin-3/2 hyperons using the spin-flavor wave function of hyperons. Our analysis shows acceptable consistencies between theoretical results and available experimental data. This leads to reliable wave functions for hyperons at their ground state.

scholarly journals PION FORM FACTORS AT INTERMEDIATE MOMENTUM TRANSFER IN A COVARIANT APPROACH

1996 ◽  
Vol 11 (04) ◽  
pp. 655-675 ◽  
Author(s):  
ADAM SZCZEPANIAK ◽  
ANTHONY G. WILLIAMS
Keyword(s):  
Wave Function ◽  
Form Factor ◽  
Momentum Transfer ◽  
Transition Form Factor ◽  
Form Factors ◽  
Transition Form ◽  
Gauge Invariant ◽  
Pion Wave Function ◽  
Covariant Gauge ◽  
Text Component

We study the pion electromagnetic and γ*+π0→γ transition form factors at intermediate momentum transfer. We calculate soft, nonperturbative corrections to the leading perturbative amplitudes which arise from the [Formula: see text] component of the pion wave function. We work in Minkowski space and use a Lorentz-covariant, gauge-invariant generalized perturbative integral representation for the [Formula: see text] amplitudes. For the transition form factor we find relative insensitivity to the detailed nonperturbative structure of the wave function for |q2|≳10 GeV 2, whereas considerable sensitivity is found for the electromagnetic form factor.

scholarly journals Shell model and Hartree-Fock calculations of electron scattering form factors for 25Mg nucleus

2019 ◽  
Vol 14 (31) ◽  
pp. 28-36
Author(s):  
Ali A. Alzubadi
Keyword(s):  
Shell Model ◽  
Electron Scattering ◽  
Single Particle ◽  
Effective Interaction ◽  
Form Factors ◽  
Model Space ◽  
Inelastic Electron ◽  
Hartree Fock ◽  
Particle Potential ◽  
Single Particle Potential

Shell model and Hartree-Fock calculations have been adopted to study the elastic and inelastic electron scattering form factors for 25Mg nucleus. The wave functions for this nucleus have been utilized from the shell model using USDA two-body effective interaction for this nucleus with the sd shell model space. On the other hand, the SkXcsb Skyrme parameterization has been used within the Hartree-Fock method to get the single-particle potential which is used to calculate the single-particle matrix elements. The calculated form factors have been compared with available experimental data.

scholarly journals Theory determination of $$\varvec{\bar{B}\rightarrow D^{(*)}\ell ^-\bar{\nu }}$$ form factors at $$\varvec{\mathcal {O}(1/m_c^2)}$$

2020 ◽  
Vol 80 (2) ◽  
Author(s):  
Marzia Bordone ◽  
Martin Jung ◽  
Danny van Dyk
Keyword(s):  
Experimental Data ◽  
Light Cone ◽  
Sum Rules ◽  
Form Factors ◽  
Longitudinal Polarization ◽  
Polarization Fraction ◽  
Theoretical Results ◽  
Good Agreement ◽  
Lepton Flavour

Abstract We carry out an analysis of the full set of ten $$\bar{B}\rightarrow D^{(*)}$$B¯→D(∗) form factors within the framework of the Heavy-Quark Expansion (HQE) to order $$\mathcal {O}\left( \alpha _s,\,1/m_b,\,1/m_c^2\right) $$Oαs,1/mb,1/mc2, both with and without the use of experimental data. This becomes possible due to a recent calculation of these form factors at and beyond the maximal physical recoil using QCD light-cone sum rules, in combination with constraints from lattice QCD, QCD three-point sum rules and unitarity. We find good agreement amongst the various theoretical results, as well as between the theoretical results and the kinematical distributions in $$\bar{B}\rightarrow D^{(*)}\lbrace e^-,\mu ^-\rbrace \bar{\nu }$$B¯→D(∗){e-,μ-}ν¯ measurements. The coefficients entering at the $$1/m_c^2$$1/mc2 level are found to be of $$\mathcal {O}(1)$$O(1), indicating convergence of the HQE. The phenomenological implications of our study include an updated exclusive determination of $$|V_{cb}|$$|Vcb| in the HQE, which is compatible with both the exclusive determination using the BGL parametrization and with the inclusive determination. We also revisit predictions for the lepton-flavour universality ratios $$R_{D^{(*)}}$$RD(∗), the $$\tau $$τ polarization observables $$P_\tau ^{D^{(*)}}$$PτD(∗), and the longitudinal polarization fraction $$F_L$$FL. Posterior samples for the HQE parameters are provided as ancillary files, allowing for their use in subsequent studies.

MATTER-DENSITY DISTRIBUTION IN DEUTERON AND DIFFRACTION DEUTERON-NUCLEUS INTERACTION

2005 ◽  
Vol 14 (07) ◽  
pp. 1073-1085 ◽  
Author(s):  
YU. A. BEREZHNOY ◽  
V. YU. KORDA ◽  
A. G. GAKH
Keyword(s):  
Experimental Data ◽  
Wave Function ◽  
Asymptotic Behavior ◽  
Cross Section ◽  
Cross Sections ◽  
Deuteron Wave Function ◽  
Form Factors ◽  
Matter Density ◽  
Nucleus Interaction ◽  
Nucleus Scattering

We obtained a nonrelativistic deuteron wave function that accounts for the D-state and has correct asymptotic behavior. This was achieved on the basis of the experimentally measured charge and quadrupole deuteron form factors. The differential cross section of the elastic deuteron-nucleus scattering has been calculated by using this wave function. These predictions agree with the experimental data at the energy of 110 MeV. The integrated cross sections of the various processes involving the deuteron-nucleus interactions were also calculated.

Magnetic form factors for a trinucleon system using different meson exchange nucleon–nucleon interactions

1993 ◽  
Vol 71 (9-10) ◽  
pp. 455-461
Author(s):  
Ahmed Osman ◽  
M. Zaky ◽  
M. A. Allam
Keyword(s):  
Experimental Data ◽  
Momentum Transfer ◽  
Form Factors ◽  
Nucleon Nucleon ◽  
Meson Exchange ◽  
Current Conservation ◽  
Meson Theory ◽  
Transfer Region ◽  
Magnetic Form Factors ◽  
Meson Exchange Currents

The magnetic form factors for the 3He and 3H nuclei have been calculated for different values of momentum transfer. The three-nucleon ground-state wave function is expressed in momentum space and is obtained from the solution of the Faddeev equations with realistic two-body potentials. The potential used is taken from the meson theory to include different meson-exchange contributions satisfying the requirements of current conservation. The different meson-exchange currents and their contributions to the trinucleon magnetic form factors are calculated. The virtual Δ-excitation and the meson–nucleon vertices form factors are included in the 3He and 3H magnetic-form-factors calculations. The present results show the importance of the higher momentum transfer region as being a good source of information to the short-range processes in the nuclear medium. Our results for the 3He and 3H magnetic form factors are in good agreements with the experimental data. The inclusion of the ρ and ω meson exchanges improves the agreement between positions of the minima of the magnetic form factors predicted and the experimental data.

scholarly journals Inelastic longitudinal electron scattering C42 form factors in42Ti nucleus

2019 ◽  
Vol 14 (30) ◽  
pp. 1-8
Author(s):  
Firas Y. Khudayer
Keyword(s):  
Electron Scattering ◽  
Form Factors ◽  
Microscopic Theory ◽  
Model Space ◽  
Effective Interactions ◽  
Protons And Neutrons ◽  
Inert Core ◽  
Particle Wave Function ◽  
Space Vectors ◽  
Generate Model

Inelastic longitudinal electron scattering form factors for secondexcited state C42 in 42Ti nucleus have been calculated using shellmodel theory. Fp shell model space with configuration (1f7/2 2p3/21f5/2 2p1/2) has been adopted in order to distribute the valenceparticles (protons and neutrons) outside an inert core 40Ca. Modernmodel space effective interactions like FPD6 and GXPF1 have beenused to generate model space vectors and harmonic oscillator wavefunction as a single particle wave function. Discarder space (coreorbits + higher orbits) has been included in (core polarization effect)as a first order correction in microscopic theory to measure theinterested multipole form factors via the model space.Gogny and Michigan sum of three-range Yukawapotential (M3Y-p2) have been utilized as a residual interaction tocouple the (particle-hole) pair across the model space active particlesand the excitation energy of the pair is (2ħω) and four options for theused effective and residual interactions were determined for thetransitions from (+0) to (+01,2,3), (+21,2,3) and (+41,2,3).

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