Absolute Differential Cross Sections for Photo Double Ionization of Helium from the<i>Ab Initio</i>Hyperspherical<mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" display="inline"><mml:mi mathvariant="italic">R</mml:mi></mml:math>-Matrix Method with Semiclassical Outgoing Waves

Malegat, L; Selles, P.; Ak, Kazansky

doi:10.1103/physrevlett.85.4450

Cited by 102 publications

(76 citation statements)

References 21 publications

Supporting

Mentioning

Contrasting

Order By: Relevance

“…A detailed discussion goes beyond the scope of the present review; we refer the reader to (Briggs and Schmidt 2000). In general, very good agreement is found between the experimental data even on absolute scale and the most advanced theoretical approaches Kheifets and Bray 1998a;Kheifets and Bray 2000;Malegat et al 2000;Malegat et al 2002;Selles et al 2002;Pont and Shakeshaft 1995;Pont and Shakeshaft 1996a;Colgan et al 2001;Colgan and Pindzola 2002). At very high excess energies of eV 450 finally , one electron is found to leave fast, carrying away most of the photon energy and angular momentum.…”

Section: Double Ionisation Of Atoms: a Brief Summarymentioning

confidence: 48%

Recoil-ion and electron momentum spectroscopy: reaction-microscopes

et al. 2003

View full text Add to dashboard Cite

Recoil-ion and electron momentum spectroscopy is a rapidly developing technique that allows one to measure the vector momenta of several ions and electrons resulting from atomic or molecular fragmentation. In a unique combination, large solid angles close to π Microccopes -the "bubble chambers of atomic physics" -mark the decisive step forward to investigate many-particle quantum-dynamics occurring when atomic and molecular systems or even surfaces and solids are exposed to time-dependent external electromagnetic fields.The present review concentrates on just these latest technical developments and on at least four new classes of fragmentation experiments that have emerged within about the last five years. First, multi-dimensional images in momentum space brought unprecedented information on the dynamics of single-photon induced fragmentation of fixed-in-space molecules and on their structure. Second, a break-through in the investigation of highintensity short-pulse laser induced fragmentation of atoms and molecules has been achieved by using Reaction Microccopes. Third, for electron and ion-impact, the investigation of twoelectron reactions has matured to a state such that first fully differential cross sections (FDCS) are reported. Forth, comprehensive sets of FDCS for single ionisation of atoms by ion-impact, the most basic atomic fragmentation reaction, brought new insight, a couple of surprises and unexpected challenges to theory at keV to GeV collision energies. In addition, a brief summary on the kinematics is provided at the beginning. Finally, the rich future potential of the method is shortly envisaged.2

show abstract

Section: Double Ionisation Of Atoms: a Brief Summarymentioning

confidence: 48%

Recoil-ion and electron momentum spectroscopy: reaction-microscopes

et al. 2003

View full text Add to dashboard Cite

show abstract

“…[9]). As regards the differential cross-sections, understanding of the results has much improved with the availability of results of some elaborate calculations like the time-dependent close coupling (TDCC) calculation of Colgan et al [7], the HRM-SOW calculation of Malegat et al and Selles et al [8,9] in addition to the earlier results ( [10,11,12,13]) and the recent results ( [14,15,16] of CCC theory, the most extensively applied theory to the problem to date. For the status of the CCC and some other methods the review article by Briggs and Schimdt [17] may be seen.…”

Section: Introductionmentioning

confidence: 99%

Hyperspherical partial wave calculation for double photoionization of the helium atom at 20 eV excess energy

Das

Chakrabarti²,

Paul

2003

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

View full text Add to dashboard Cite

Abstract. Hyperspherical partial wave approach has been applied here in the study of double photoionization of the helium atom for equal energy sharing geometry at 20 eV excess energy. Calculations have been done both in length and velocity gauges and are found to agree with each other, with the CCC results and with experiments and exhibit some advantages of the corresponding three particle wave function over other wave functions in use.

show abstract

“…Though we deal here with the e-H system, the formalism presented is general. The results given below are readily applicable to extraction of amplitudes in direct calculations of other atomic and molecular breakup processes including the double photoionization of helium [20] and similar problems in nuclear physics. They may also be useful in further developing the effective-charge perturbation approaches [21][22][23].…”

Section: Introductionmentioning

confidence: 94%

“…In Eqs. (20) and (21) F and G are amplitudes describing the direct and rearrangement scattering. The relative momenta in two-fragment channels are given by k n = ͓2͑E − E n ͔͒ 1/2 .…”

Section: ͑22͒mentioning

confidence: 99%

Theory of Electron Impact Ionization of Atoms

Stelbovics¹,

Bartlett²,

Bray³

et al. 2006

AIP Conference Proceedings

View full text Add to dashboard Cite

The existing formulations of electron-impact ionization of a hydrogenic target suffer from a number of formal problems including an ambiguous and phase-divergent definition of the ionization amplitude. An alternative formulation of the theory is given. An integral representation for the ionization amplitude which is free of ambiguity and divergence problems is derived and is shown to have four alternative, but equivalent, forms well suited for practical calculations. The extension to amplitudes of all possible scattering processes taking place in an arbitrary three-body system follows. A well-defined conventional post form of the breakup amplitude valid for arbitrary potentials including the long-range Coulomb interaction is given. Practical approaches are based on partial-wave expansions, so the formulation is also recast in terms of partial waves and partialwave expansions of the asymptotic wave functions are presented. In particular, expansions of the asymptotic forms of the total scattering wave function, developed from both the initial and the final state, for electronimpact ionization of hydrogen are given. Finally, the utility of the present formulation is demonstrated on some well-known model problems.

show abstract

Absolute Differential Cross Sections for Photo Double Ionization of Helium from theAb InitioHypersphericalR-Matrix Method with Semiclassical Outgoing Waves

Cited by 102 publications

References 21 publications

Recoil-ion and electron momentum spectroscopy: reaction-microscopes

Recoil-ion and electron momentum spectroscopy: reaction-microscopes

Hyperspherical partial wave calculation for double photoionization of the helium atom at 20 eV excess energy

Theory of Electron Impact Ionization of Atoms

Contact Info

Product

Resources

About