Mirroring behavior of partial photodetachment and photoionization cross sections in the neighborhood of a resonance

Abstract

Partial photodetachment and photoionization cross sections corresponding to highly excited residual atoms or ions are shown analytically to mirror one another in the neighborhood of a resonance. More precisely, any two groupings of partial cross sections are shown here to have components whose variations with energy near a resonance are equal in magnitude and opposite in direction. This work extends an analysis of Starace ͓Phys. Rev. A 16, 231 ͑1977͔͒ for the behavior of partial cross sections near a resonance to the case when the 2 parameter of Fano and Cooper ͓Phys. Rev. 137, A1364 ͑1965͔͒ tends to zero. ͓S1050-2947͑99͒50403-4͔

Universal scaling of resonances in vector correlation photoionization parameters

“…The situation is even worse for the calculations of the α µ parameters (5), where all possible satellites have to be taken into account, including the Auger decay amplitudes V µ of the Xe 4d −1 5/2 6p (J = 1) state to the corresponding excited states of the Xe + ion. In order to qualitatively understand the opposite signs of the shift in table 1, we consider, in accordance with equations (9) and (11), the ratio of the C 1 parameters for the ionic states 6 and 19 (for q 1 and ρ 2 1 the second term in equation (11) can be neglected [27,39])…”

“…For cases where only one final ionic state P can be reached, for example for autoionizing states lying below the second ionization threshold, the weighted averages of the α parameters obey the relation α P = |α| 2 P = ρ 2 [27]. Then the coefficients C 1 and C 2 are directly related to the Fano parameters in photoabsorption, C 1 = qρ 2 , C 2 = (q 2 − 1)ρ 2 , and we obtain…”

Intermanifold similarities in partial photoionization cross sections of helium

“…In the latter work similarities between partial cross sections belonging to different manifolds have been observed and related to the propensity rules for doubly excited states [16,17,18]. This type of similarity has to be distinguished from intramanifold similarities of partial photo cross sections such as mirroring and mimicking, as first noted by Liu and Starace [19].…”

“…4 behave quite similarly while He + (N ′ = 2) mirrors their pattern. This mirroring and mimicking behavior of partial photo cross section is a universal intramanifold feature [19]. So far, we have presented illustrative examples for the cross sections to highlight the accuracy of our calculation.…”

New Window Resonances in the Potassium 3sPhotoabsorption Spectrum

“…In particular, the subvalence s-shell photoexcitation in rare gas atoms [5][6][7][8][9][10][11][12][13][14][15] and closely related species [18][19][20][21] have been noted for the window type resonances, appearing as dips in the continuum background of the photo-absorption spectrum. Window resonances are extreme cases of the Beutler-Fano profile with profile index q close to zero.…”