Title: Various approaches to the linear response in the near-asymptotic regime
Abstract:We demonstrate to O(${\mathit{q}}^{\mathrm{\ensuremath{-}}2}$) the correspondence between the response in the Gersch and the multiple-scattering approach. In the course we establish a rigorous require...We demonstrate to O(${\mathit{q}}^{\mathrm{\ensuremath{-}}2}$) the correspondence between the response in the Gersch and the multiple-scattering approach. In the course we establish a rigorous requirement for the preference of one scaling variable over another. We also show that the reduced response, when computed by means of a particle-hole (spectral function) approach, does not lead to a systematic 1/q expansion. For liquid $^{4}\mathrm{He}$ and nuclear matter we calculate components of the dominant final-state interaction. The asymptotic region for liquid $^{4}\mathrm{He}$ is reached, for not too large y, when q\ensuremath{\ge}10 A${\mathrm{\r{}}}^{\mathrm{\ensuremath{-}}1}$. Results for nuclear matter obtained by means of spectral functions indicate that even for momentum transfers as high as q\ensuremath{\sim}9 ${\mathrm{fm}}^{\mathrm{\ensuremath{-}}1}$ the convergence is slow, except for the smallest y values.Read More
Publication Year: 1990
Publication Date: 1990-12-01
Language: en
Type: article
Indexed In: ['crossref', 'pubmed']
Access and Citation
Cited By Count: 6
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