Calculation of (e, 2e) triple differential cross sections of Mg in coplanar geometry

Second-order Born calculation of coplanar symmetric (e, 2e) process on Mg

“…The present DWBA model uses the standard spin-average static exchange potential of Furness and McCarthy, [21] which is same as the DWBA (FM) result of Khajuria et al [15] In Fig. 1 we display the present standard DWBA (dotted curve) and DWB2 (solid curve) calculations of coplanar symmetric (e, 2e) processes for Mg(3s), along with the DWBA-PCI result of Khajuria et al [15] (dashed curve), the modified DWBA calculation with polarization potential and PCI corrections (labeled DWBA-pol-PCI below) of Purohit et al [17] (dash-dotted curve) as well as the experimental data of Murray [14] (solid circles). All the results are normalized to unity at θ = 45 • , respectively, and are presented on a logarithmic scale for the convenience of comparison.…”

“…Mg All the theoretical and experimental data have been normalized to unity at θ = 45 • , respectively. Solid circles: experimental data of Murray; [14] solid curve: present DWB2 calculation; dotted curve: present standard DWBA calculation; dashed curve: DWBA calculation with PCI (DWBA-PCI) of Khajuria et al; [15] dash-dotted curve: DWBA calculation with polarization potential and PCI corrections (DWBA-pol-PCI) of Purohit et al [17] notice that the DWBA-PCI also gives a higher curve than experiment while the DWBA-pol-PCI curve is lower than the others. This probably means that the discrepancy could be attributed to the missing polarization effect in the present DWB2 calculation, which is going to be checked in future investigations.…”

“…As a well-known theoretical approach in (e, 2e) reaction of complex targets, the distorted wave Born approximation (DWBA) was the most frequently employed method among these theoretical works. Almost all of these DWBA calculations were based on first-order Born amplitude with various corrections to include different kinds of correlations in the (e, 2e) process of target Mg. [15][16][17] Khajuria et al [15] employed either the spin averaged static ex-change potential (SASEP) or the modified semiclassical exchange potential (MSCEP) to consider the electron exchange effect of target in their first-order DWBA model. A Gamow factor was also used to include the post-collision interaction (PCI) effect in the calculation.…”

“…Then, Hitawala et al [16] carried out the DWBA calculation on Mg (e, 2e) process, which considered the effect of polarization by using a function of electron density parameter. Most recently, Purohit et al [17] modified DWBA method by including the correlation-polarization potential and employing a Ward-Macek factor to take the PCI into account. These modified first-order DWBA calculations showed reasonable improvement in the agreement with the experimental measurements compared with standard DWBA calculation.…”

“…All the theoretical and experimental data have been normalized to unity at θ = 45 • , respectively. Solid circles: experimental data of Murray;[14] solid curve: present DWB2 calculation; dotted curve: present standard DWBA calculation; dashed curve: DWBA calculation with PCI (DWBA-PCI) of Khajuria et al;[15] dash-dotted curve: DWBA calculation with polarization potential and PCI corrections (DWBA-pol-PCI) of Purohit et al[17]…”