Multiple-scattering theory relativistic

In summary, a fully relativistic theoretical description of photo emission for magnetic solids has been presented that is based on multiple scattering theory. For the VB-XPS case a very simple expression for the photo current intensity is found that can... 

Ebert, H., and Battocletti, M., 1996, Spin and orbital polarized relativistic multiple scattering theory - with applications to Fe, Co, Ni and Fe cCoi- c , Solid State Commun. 98 785. 

SPIN AND ORBITAL POLARIZED RELATIVISTIC MULTIPLE SCATTERING THEORY... 

Figure 5.16 Top experimental normal emission (T-L) ARUPS spectrum for Cu (111), hv = 21.2 eV (Geriach etal. 1998). Bottom corresponding calculated ARUPS spectram using the muffin-tin approximation and the full potential version of relativistic multiple scattering theory. Reproduced with permission from Fluchtmann et aL (1998). Elsevier Science.

T = -iOyK the time reversal operator [11], For the non-relativistic case Durham [12] derived an expression for within the framework of multiple scattering theory. To... 

X. Wang, X.-G. Zhang, W. H. Butler, G. M. Stocks, B. N. Harmon. Relativistic-multiple-scattering theory for space-fiUing potentials. Phys. Rev. B, 46(15) (1992) 9352-9358. 

The nucleon-nucleon t-matrices used to calculate the optical potential must also use consistent relativistic kinematics, to be discussed in detail in section 3.3. The whole procedure for introducing relativistic kinematics into the nonrelativistic multiple scattering theory will be illustrated and checked using Coulomb scattering as an example in section 3.4. 

We have provided a pedagogical derivation of the traditional, nonrelativistic form of multiple scattering theory based on the optical potential formalism. We have also discussed in detail each of the important advances made over the past ten years in the numerical application of the NR formalism. These include the full-folding calculation of the first-order optical potential, off-shell NN t-matrix contributions, relativistic kinematics and Lorentz boost of the NN t-matrix, electromagnetic effects, medium corrections arising from Pauli blocking and binding potentials in intermediate states, nucleon... 

The more recent reviews of this topic were presented by Wallace in 1981 [Wa81] and in 1987 [Wa87j. The former primarily discussed the application of semi-classical multiple scattering diffraction theory [G159] to proton-nucleus scattering, mainly for light targets, while the latter summarized the relativistic models. 

A reasonable way to estimate the size of the correlation correction to the relativistic tp potential is to make use of the semi-relativistic multiple scattering formalism [Ra 85] discussed in section 4.2. In analogy with the Watson theory, the leading correlation correction is quadratic in the relativistic NN invariant scattering operator and is proportional to two-body correlations in the target nucleus. 

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