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- W2003135088 startingPage "6857" @default.
- W2003135088 abstract "Two critical quantities in muon-catalyzed d-t fusion are the d-t fusion rate 〈ensuremath{psi}ensuremath{Vert}${ensuremath{delta}}^{(3)}$${(mathrm{r}}_{mathrm{dt}}$)ensuremath{Vert}ensuremath{psi}〉 and the ensuremath{alpha}-ensuremath{mu} sticking fraction mU〈cphi(r)${mathrm{e}}^{mathrm{i}}$qensuremath{cdot}rensuremath{Vert}${mathrm{ensuremath{delta}}}^{(3)}$(r $_{mathit{d}mathit{t}}$)ensuremath{Vert}ensuremath{psi}(${mathrm{r}}_{mathit{t}}$,r)〉${mathrm{ensuremath{Vert}}}^{2}$/ 〈ensuremath{psi}ensuremath{Vert}${mathrm{ensuremath{delta}}}^{(3)}$(${mathrm{r}}_{mathit{t}}$)ensuremath{Vert}ensuremath{psi}〉, where ensuremath{psi} is a (dtensuremath{mu}${)}^{+}$ wave function and cphi is a hydrogenic ensuremath{alpha}-ensuremath{mu} wave function. It is explained why conventional approaches to calculate these quantities directly are slowly convergent. It is suggested that the use of a basis that explicitly includes terms that appear in the Fock expansion will lead to more rapid convergence. Furthermore, an identity relating 〈ensuremath{psi}ensuremath{Vert}${ensuremath{delta}}^{(3)}$(r)ensuremath{Vert}ensuremath{psi}〉 to expectation values of more diffuse operators, which was first derived by Hiller, Sucher, and Feinberg [Phys. Rev. A 18, 2399 (1978)] and then extended by Drake [Nucl. Instrum. Methods Phys. Res. B 31, 7 (1988)] in the context of atomic calculations, is generalized to the calculation of fusion rates and sticking fractions. It is anticipated that these relations will facilitate the accurate calculation of fusion rates and of sticking fractions." @default.
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- W2003135088 date "1989-12-01" @default.
- W2003135088 modified "2023-10-18" @default.
- W2003135088 title "Improving the accuracy of the calculation of fusion rates and sticking fractions in muon-catalyzed fusion" @default.
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- W2003135088 doi "https://doi.org/10.1103/physreva.40.6857" @default.
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