2007
DOI: 10.1007/s00214-007-0369-4
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He photoionization: β N and σ N below N = 5 and 6 thresholds

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Cited by 12 publications
(9 citation statements)
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“…To determine the values of these parameters, and to subsequently verify the prediction of the model against reliable benchmarks, we carried out accurate ab initio simulations based on the numerical solution of the time-dependent Schrödinger equation [10,[32][33][34] where the wave function for the two-active-electron system is represented in a B-spline [72,73] bipolar-sphericalharmonics [74] close-coupling basis [75][76][77][78], for both the time propagation and the asymptotic analysis of the single-ionization wave packet [32,79,80], while the timestep propagation is carried out with a Krylov unitary one-photon photoelectron spectrum obtained with using the XUV APT alone. The first spectrum (a) was used to determine the global scaling factor C, while spectra like the one in (b) were used to confirm the parameters of the two 1 P o autoionizing state.…”
Section: Resonant Rabitt Spectrum Of Heliummentioning
confidence: 99%
See 1 more Smart Citation
“…To determine the values of these parameters, and to subsequently verify the prediction of the model against reliable benchmarks, we carried out accurate ab initio simulations based on the numerical solution of the time-dependent Schrödinger equation [10,[32][33][34] where the wave function for the two-active-electron system is represented in a B-spline [72,73] bipolar-sphericalharmonics [74] close-coupling basis [75][76][77][78], for both the time propagation and the asymptotic analysis of the single-ionization wave packet [32,79,80], while the timestep propagation is carried out with a Krylov unitary one-photon photoelectron spectrum obtained with using the XUV APT alone. The first spectrum (a) was used to determine the global scaling factor C, while spectra like the one in (b) were used to confirm the parameters of the two 1 P o autoionizing state.…”
Section: Resonant Rabitt Spectrum Of Heliummentioning
confidence: 99%
“…To determine the values of these parameters, and to subsequently verify the prediction of the model against reliable benchmarks, we carried out accurate ab initio simulations based on the numerical solution of the time-dependent Schrödinger equation [10,[32][33][34] where the wave function for the two-active-electron system is represented in a B-spline [72,73] bipolar-sphericalharmonics [74] close-coupling basis [75][76][77][78], for both the time propagation and the asymptotic analysis of the single-ionization wave packet [32,79,80], while the timestep propagation is carried out with a Krylov unitary approximation [81] to a second-order split exponential time-evolution operator in velocity gauge, and implemented in a parallel code which makes use of the PETSc numerical library [82][83][84]. In the simulations, both the XUV APT and the IR probe have a duration (fwhm) of 6 fs, while their peak intensity is I XUV = 5 GW/cm 2 and I IR = 10 GW/cm 2 , respectively.…”
Section: Resonant Rabitt Spectrum Of Heliummentioning
confidence: 99%
“…In the present work, the single-ionization scattering states of helium below the double ionization threshold are computed using the B-spline K-matrix method [61,62]. The K-matrix method is an L 2 realization of a configurationinteraction calculation in the continuum that has been successfully applied to a number of problems in atomic and molecular physics [42,53,[63][64][65][66][67][68][69][70]. This method will be briefly summarized below in the case of helium, for scattering states with total symmetry Γ, which we will not explicitly indicate, for brevity.…”
Section: Theorymentioning
confidence: 99%
“…, is a scattering state in which the parent ion and the photoelectron are not angularly or spin coupled, which fulfills incoming boundary conditions, and in which the photoelectron has a well defined propagation direction Ω [25,53,54]. We can now use the partitioning of the wavefunction in a last short-range component and many long-range components,…”
Section: Theoretical Methodsmentioning
confidence: 99%