Study of form factors of elastic and inelastic electron scattering by 20Ne

Electroexcitation Form Factors and Deformation of 20,22Ne Isotopes Based on the Shell Model and Hartree-Fock plus BCS Calculations

“…The discrepancies with experimental data regarding the energy of transitions from these states might be due to the possible admixture of states involving neutron and proton excitations. From a general point of view, the B(EL) values for the transitions of low excitation energies agree reasonably well with experimental data [20,[22][23][24]. The B(E2) transition rates are slightly larger than the experimental data except for 2 , where the agreement is quite good for 2 in 22 Ne using the USDE interaction.…”

Electron scattering by12C in the microscopic Spperpendicular to(1,R) model

“…To study the dependence of the form factors on the momentum transfer it is helpful to express the form factors as [6J where f&) is the proton form factor for which we use a Gaussian parametrization [6] fp(q) = exp(-b;qz/4) (4.2)…”

“…These expressions can be easily evaluated following [5,6,141, with the result Putting all this together one has In order to find the generating functions in the case of spherical wavefunctions one has only to take Given the generating function for the charge density operator, we can find the generating function for the overlap matrix (3.7) by taking q = 0 and dividing by the number of protons.…”

“…If we use the explicit form of the projection operator and the expression of M ~, w ( q ) in terms of the Fourier transform of the charge density p ( q ) Expression (3.5) is a simpler version of equation ( 20) in [6]. In the case of the spherical Besides (3.3, we have to evaluate the overlap matrix basis we have only to make b l = bo in (3.5).…”

“…As discussed in section 2. it is sufficient in our case to consider only the states with define an orthogonal system of axes given by the rotation Ry(p) of the space-fixed system (el, ez, e3) [6,14] (3. I2a)…”