Main partial wave

Fig. 5. (a) Stopping power of carbon targets (with = 1-6) for slow ions with velocity v = 0.8 a.u. E/A = 16 keV/u). The solid line is the result of the present non-linear calculations for 1 < Zj <40 the dashed line shows the result of the density functional theory (DFT) for 1 < Zj < 17 (with = 1.5) the dotted line shows the result of the Brandt-Kitagawa model. The symbols show the experimental results from various authors [10,46,47]. (b) Contributions of the main partial wave components, I = 0,1,. ..,4, to the total stopping power shown in part (a). 

Main partial wave (PW/m) structure of the MP2/CA theory 2.2 Alternative partial wave (PW/a) expansion of MP2/CA pair 154... 

The formalism of electron-atom scattering has been extensively dealt with elsewhere./27,28,29/ We shall only recall its main features here. Because of the assumed spherical symmetry, the partial-wave scattering approach is convenient. Namely, an incoming spherical wave h[2 kr) y/ (r), (—can scatter only into the outgoing spherical wave hf kr) Y/"(r) (here hf and hf2 are Hankel functions of the first and second kinds, k = 2n/h(2mE) i, E is the kinetic energy and r — r ). This occurs with amplitude t( (f is an element of the diagonal atomic <-matrix), which is related to the phase shifts 6l through... 

The quantum theory of scattering also known as the method of partial wave analysis provides the frame work for this and we give here the main results of the theory. The basic step in this theory is the decomposition of the incident plane wave into various partial waves each with a well-defined angular momentum ... 

As an example, for X2E+ + e <— N2 X1 ionization, in the energy region of the well known shape resonances (see Section 8.1.3), the photoelectron partial wave is mainly iau(l = 3), consequently 13 is expected to be close to 0.53. A Cooper minimum has a strong influence on / as analyzed by Thiel (1984), the (3 parameter exhibits a minimum not only because some transition moments vanish (due to the Cooper minimum) but also because the sa(l = 0) partial wave dominates in the region of the Cooper minimum. 

This short table gives the name, the quantum numbers (where known), and the status of baryons in the Review. Only the baryons with 3- or 4-star status are included in the main Baryon Summary Table. Due to insufficient data or uncertain interpretation, the other entries in the short table are not established as baryons. The names with masses are of baryons that decay strongly. For N, A, and S resonances, the partial wave is indicated by the symbol where L is the orbital angular momuntum (S, P, D,. ..), I is... 

Table 1. Height of equilibrium tide on the main partial tidal waves.

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