Electron capture by bare projectiles from multi-electron targets

Mančev, Ivan; Milojević, Nenad; Belkić, Dževad

doi:10.1140/epjd/e2018-90290-8

Cited by 13 publications

(9 citation statements)

References 52 publications

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“…Moreover, in the case of general heavy particle collisions (m P,T 1), and not just single or double capture processes, the numerical values of total cross sections are expected to be the same for computations with either the logarithmic Coulomb phase factors or the associated full Coulomb wave functions for the relative motion of the two heavy scattering aggregates. This has explicitly been confirmed in the CB1-4B as well as in the BCIS-3B and BCIS-4B methods for single electron capture in heavy particle collisions [151,152]. The same conclusion is anticipated to apply also to double capture.…”

Section: Illustrationssupporting

confidence: 58%

Double charge exchange in ion–atom collisions using distorted wave theories with two-electron continuum intermediate states in one or both scattering channels

Belkić

2018

J Math Chem

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A general quantum-mechanical formalism is reviewed for double electron capture from heliumlike atomic systems by fast nuclei. The development is carried out with and without the distorted wave theory by fulfilling the correct boundary conditions. These refer to the required asymptotic behaviors of the total scattering wave functions and their appropriate connections to the perturbation interactions that produce the transitions from the initial to the final states of the system. In this general formulation any choice is allowed for the pairs of the distorting potentials and the related distorted wave functions as long as the correct boundary conditions are satisfied. This is the case with the four-body versions of several most frequently used methods (continuum distorted wave: CDW-4B, boundary-corrected continuum intermediate state: BCIS-4B, Born distorted wave: BDW-4B, continuum distorted wave initial/final state: CDW-EIS/EFS-4B, and the boundary-corrected first Born: CB1-4B). A comparative analysis of these methods makes in evidence both their similarities and differences. For example, the most illustrative is the juxtaposition of the post BDW-4B and CDW-EIS-4B methods. They share the same distorting potential in the exit channel. The only difference is in the coordinates from the Coulomb logarithmic phases in the initial distorted wave functions. This difference is completely negligible in the asymptotic scattering regions. Yet, for e.g. double electron capture from helium by alpha particles, the total cross sections from these two methods differ by 1-3 orders of magnitudes. The BDW-4B method is in agreement with experimental data at high impact energies. In sharp contrast, within its validity domain of impact energies, the CDW-EIS-4B method underestimates the measured data by orders of magnitude. This shows that what matters is not solely the correct asymptotes of distorted wave functions, but rather how they affect the contributions to the integrals over the entire regions in the T-matrix elements for total cross sections. Such insights help understand the assessment of the overall validity and relative performance of various methods, and can provide a versa-B Dževad Belkić

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Section: Illustrationssupporting

confidence: 58%

Double charge exchange in ion–atom collisions using distorted wave theories with two-electron continuum intermediate states in one or both scattering channels

Belkić

2018

J Math Chem

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“…In figure 8 we show the energy dependence of the total electron-capture cross section in p-Li(2s) collisions. The present CCC results (represented by the solid blue line) are compared with available experimental data [54][55][56][57][58][59][60][61] and recent calculations by Mancev et al [62]. In the present approach the cross section is calculated using the amplitude given in equation (18).…”

Section: Cross Sectionsmentioning

confidence: 87%

“…Total cross section for electron capture in p-Li(2s) collisions as a function of the impact energy. The results of the present CCC approach are compared with the experimental measurements of D'yachkov [54], Il'in and Fedorenko [55], Grüebler et al [56], Varghese et al [57], Aumayr et al [58,59], Shah et al [60], DuBois and Toburen [61] and theoretical calculations by Mancev et al [62].…”

Section: Cross Sectionsmentioning

confidence: 93%

“…Also shown are the results of calculations based on the three-body boundary-corrected continuum intermediate state (BCIS) method of Mancev et al [62]. The BCIS method is a hybrid formalism, which is the combination of the continuum distorted-wave method in the exit channel and the boundarycorrected first Born method in the entrance channel.…”

Section: Cross Sectionsmentioning

confidence: 99%

“…The initial ground state of the active electron in the three-electron target of Li is described by the Roothaan-Hartree-Fock wave function. Using this method Mancev et al [62] separately calculated the cross sections for single electron capture from the K-shell and L-shell of the Li(2s) target. The sum of their K-and L-shell electron-capture cross sections are shown in figure 8.…”

Section: Cross Sectionsmentioning

confidence: 99%

See 2 more Smart Citations

One-center close-coupling approach to two-center rearrangement collisions

Abdurakhmanov

Plowman

Kadyrov

et al. 2020

J. Phys. B: At. Mol. Opt. Phys.

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Calculations of ionization and electron-capture cross sections in ion-atom collisions usually require solving the Schrödinger equation governing the collision system by expanding the total scattering wave function in a basis of target- and projectile-centered pseudostates. This approach leads to the two-center close-coupling equations which in some cases may become ill-conditioned due to the non-orthogonality of the underlying combined basis. Here we develop a technique which allows to accurately extract the necessary collision information, including that for the rearrangement channels, from the computationally more convenient one-center close-coupling equations which are built from only target-centered pseudostates. The robustness of the method is demonstrated by considering the proton-hydrogen scattering problem across a wide incident energy range. The developed method is then applied to study proton scattering on multielectron target of lithium. The obtained results for the 2s → 2p excitation and the total electron-capture cross sections are in good agreement with corresponding experimental data. It is concluded that the presented technique could be a simpler alternative when integrated cross sections are required.

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One electron-capture in collisions of fast nuclei with biomolecules of relevance to ion therapy

Belkić

2021

Advances in Quantum Chemistry

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Electron capture by bare projectiles from multi-electron targets

Cited by 13 publications

References 52 publications

Double charge exchange in ion–atom collisions using distorted wave theories with two-electron continuum intermediate states in one or both scattering channels

Double charge exchange in ion–atom collisions using distorted wave theories with two-electron continuum intermediate states in one or both scattering channels

One-center close-coupling approach to two-center rearrangement collisions

One electron-capture in collisions of fast nuclei with biomolecules of relevance to ion therapy

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