Electron correlations in single-electron capture from helium by fast protons andαparticles

Abstract

Single-electron capture from heliumlike atomic systems by bare projectiles is investigated by means of the four-body boundary-corrected first Born approximation (CB1-4B). The effect of the dynamic electron correlation is explicitly taken into account through the complete perturbation potential. The quantum-mechanical post and prior transition amplitudes for single charge exchange encompassing symmetric and/or asymmetric collisions are derived in terms of two-dimensional real integrals in the case of the prior form and five-dimensional quadratures for the post form. An illustrative computation is performed for single-electron capture from helium by protons and α particles at intermediate and high impact energies. The role of dynamic correlations is examined as a function of increased projectile energy. The validity and utility of the proposed CB1-4B method is critically assessed in comparison with the existing experimental data for total cross sections, and excellent agreement is obtained.

Single-electron-capture processes in collisions of He2+, Liq+ (q=Samanta1, Purkait2, Mandal3 2011Phys. Rev. A305150View full textAdd to dashboardCite

“…The BDW results of Mancev [13] underestimate the experimental results in the high-energy region, which have an almost similar energy variation of cross sections with the CDW-4B results. However, the results obtained in the CB1-4B method by Mancev and Milojevic [14] have good agreement with the experimental findings [24][25][26][27] between 150 and 5000 keV. [12]; dash-dotted line, CB1 results of Belkic [17]; ᮀ, IEA results of Sidorovich et al [8].…”

“…1, we have displayed the present results both in post and prior forms for symmetric collisions of He 2+ -He as a function of incident projectile energy from 100 to 5000 keV. Our computed results are compared with the measurements of Shah and Gilbody [24], Shah et al [25], de Castro et al [26], DuBois [27], and the theoretical results of Mancev [11,13,14], and Dunseath and Crothers [16]. The present results have good agreement with the experimental results of de Castro et al [26] below 2000 keV.…”

“…The variation of single-electroncapture cross sections in collisions of different projectile ions with helium atoms in the energy range 50-5000 keV/amu are [11]; dotted line, CB1-4B results of Mancev and Milojevic [14]; dash-dotted line, PCDW results of Dunseath and Crothers [16]; dash-dot-dotted line, HCDW results of Dunseath and Crothers [16]; dense dotted line, BDW results of Mancev [13]. Experiments: , results of Shah and Gilbody [24]; ᭹, results of Shah et al [25]; , results of de Castro et al [26]; ᭢, results of DuBois [27].…”

“…Mancev [13] also developed second-order Born distorted-wave (BDW) approximation to study the single-charge-transfer in fast symmetric collisions between alpha particles and helium. Recently, Mancev and Milojevic [14] have applied the four-body boundary-corrected first Born approximation (CB1-4B) both in post and prior forms to study the single-electron-capture cross sections from He atoms by H + and He 2+ ions, respectively. The results so obtained have reasonable agreement with the experimental findings except in the low-energy region.…”

Charge transfer in proton–helium collisions from low to high energy

“…The two-centre basis generator method used by Zapukhlyak et al [70] presents the correct behaviour, but fails for energies above 2 MeV/u. Some works have focused on the role of electronic correlation in p + He collisions, in particular on the differential cross section [79]. However, when compared to other monoelectronic approaches for the total charge transfer cross section, no significant effect could be noticed due to the inclusion of such correlation effects.…”