Autoionization state

The sitnation for the states is similar, because of the autoionizing state... 

The formal basis employed in the K-matrix calculation includes the relevant partial wave channel (pwc) subspaces plus a "localized channel" (/c) of discrete functions. These last are usual Cl states and their inelusion in the basis allows to efficiently reproduce the autoionizing states and the eorrelation effects. 

As discussed in (4), the K-matrix has a pole at energies near a resonance and this yields a convenient method for the analysis of the narrow autoionizing states. The matrix representation of equation [2] upon a finite basis may be in fact recast in the form (4)... 

Table 3. Wave energies and widths of autoionizing states. a — b) means a 10 ...

The rate coefficients for H" in the autoionizing states (s, p) may differ from those in higher /-states and are treated differently (subscripts 0 and 1 ). A steady-state analysis of the rate equations gives a deionization coefficient of ... 

In the present discussion, the total autoionization width for Penning ionization of He M or for decay of the transient molecular autoionizing state of [HeM] is assumed to be divided into two components a dipole-dipole part and an electron exchange part. The maximum width possible is assumed to be the sum of the two components [142], that is. 

The third line describes oscillation of a wave packet in an anharmonic potential (phase term omitted). Eq. (1) would be valid also in the presence of an intermediate resonance. In Eq. (2), the Apl dependence is only in the Plon terms. The fundamental arises from the sin terms (hence from dPion/dx) and the overtone from the sin2 terms. A phase jump of the fundamental is expected at a Tpr where dPlnn/dx and hence dPloir/dIE change sign. From these derivatives (proportional to the fundamental amplitude in Fig. 3) we can infer that Ploa has a maximum at 680 nm and a minimum near 405 nm. The maximum could reflect either an intermediate resonance or a two-photon resonance with an autoionizing state. The minimum is likely to announce a further rise of PIon at shorter Apr due to the lower order of ionization. 

V. S. Letokhov As concerning the autoionization states of atoms, for example Gd, the lifetime is in the nanosecond range. But according to our calculations some atoms, for example Yb, have very long-lived (microsecond range) lifetimes (see Refs. 1 and 2). You have observed long-lived Rydbeig autoionization states for molecules. It seems to me that such states have already been well known in atomic physics. 

The method used in these calculations is based on the theoretical developments of Sakimoto [42] and is also an extension of our previous work on the Stark spectrum of spin-orbit autoionized Rydberg states of argon [43] and of the vibrationally autoionized states of hydrogen [44, 45], Only the homoge-... 

Figure 36. Electron spectrum for transfer ionization system He+-Ba at various collision energies.110 Indicated a tentative identification of some autoionizing states of Ba+ formed by charge transfer to He+.

It is straightforward to extend the picture of the spinless Ba atom given in Chapter 17 to autoionizing states. We again use the Hamiltonian of Eq. (17-1), which separates into... 

A laser method which has been used to study autoionizing states of alkaline earth atoms is the isolated core excitation (ICE) method first used by Cooke etal. to study the autoionizing 5pn( states of Sr.11 It has since been used to study autoionizing states of Mg, Ca, and Ba as well.12-14... 

As shown by Fig. 19.4 the observed profile directly reflects the spectral profile of the autoionizing state, as implied by Eq. (19.9), and there is evidently negligible... 

If the sample of N0 bound 6sni Rydberg atoms is exposed to an integrated photon flux , then the number of atoms excited to the autoionizing states is given by... 

Fig. 19.9 Plot of scaled total decay rates n3r of Ba 6pmn( J = l + 1 autoionizing states in atomic units vs (. For ( = 0-4 the measured rates (O) shown are the average rates from many n values. The data for the rates for > 4 are for n = 12. The solid line is a simple theoretical calculation based on the dipole scattering of a hydrogenic Rydberg electron from the 6p core electron. Note that the core penetration of the lower states reduces the actual rate from the one calculated using the dipole scattering model. The constant total decay rate for > 8 is the spontaneous decay rate of the Ba+ 6p state (from ref. 39).

To arrive at a more unique way of characterizing autoionizing states in the absence of information about the continuum phase we can recast the QDT equations into an R matrix form which is at the same time similar to the original development of QDT from multichannel scattering theory.2 The relation between the different forms of scattering matrix is discussed by Mott and Massey,11 Seaton,2 and Fano and Rau.12... 

The probability of finding an autoionizing state of channel 2 at any energy is given by A2, which we shall term the spectral density. Squaring Eq. (21.2) we find... 

---