We formulate a nonrelativistic quantum theory for the nonresonant inelastic scattering process of an x-ray photon by a free linear molecule outside of the impulse approximation framework. We find a strong orientation effect dependent on changes in the schemes of the proposed experiments. Calculations of the absolute values and forms for the double differential scattering cross sections are carried out for the HF molecule and have a predictive character. The presented theory is of a general nature, and its applicability to a particular linear molecule is constrained only by the demand of correctness of nonrelativistic methods for constructing molecular scattering orbitals.
The absolute values and the shape of the double differential cross section for nonresonance Compton scattering of an X ray photon by an atomic ion with d symmetry in the core are studied theoretically beyond the impulse approximation for the example of the Ni like atomic ions Zn 2+ , Kr 8+ , and Mo 14+ . It is established that, as the nuclear charge of an ion increases, (a) in all the scattering channels, the leading har monics of transition to states of the continuous spectrum are concentrated and (b) the integral intensities of nonresonance Compton scattering are increasingly redistributed to the energy region of resonance Lands berg-Mandelstam-Raman scattering between the threshold of termination of the Compton profile and the line of elastic (Thomson and Rayleigh) scattering. The calculated results are predictive in character.
In figures 1 and 2, the cross-sections for the 3s, 3p and 4s shells should be multiplied by 1.9(2.7)[3s], 2.0(2.4)[3p], 3.5(5.4)[4s] for hω 1 = 14.93(22.10) keV and O = 141 (133 degrees). It is also necessary to multiply equation ( 17) by (1/2)(1 + cos 2 (O)). In addition, the quantity 1.239(1.177) in table 2 should be replaced by 1.403(1.279). None of these errors affect the main results and conclusions of the article.
In figures 1 and 2, the cross-sections for the 3s, 3p and 4s shells should be multiplied by 1.9(2.7)[3s], 2.0(2.4)[3p], 3.5(5.4)[4s] for hω 1 = 14.93(22.10) keV and O = 141 (133 degrees). It is also necessary to multiply equation ( 17) by (1/2)(1 + cos 2 (O)). In addition, the quantity 1.239(1.177) in table 2 should be replaced by 1.403(1.279). None of these errors affect the main results and conclusions of the article.
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