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- W2088049168 abstract "We calculate the finite nucleus Dirac mean field spectrum in a Galerkin approach using finite basis splines. We review the method and present results for the relativistic ensuremath{sigma}-ensuremath{omega} model for the closed-shell nuclei $^{16}mathrm{O}$ and $^{40}mathrm{Ca}$. We study the convergence of the method as a function of the size of the basis and the closure properties of the spectrum using an energy-weighted dipole sum rule. We apply the method to the Dirac random-phase-approximation response and present results for the isoscalar ${1}^{mathrm{ensuremath{-}}}$ and ${3}^{mathrm{ensuremath{-}}}$ longitudinal form factors of $^{16}mathrm{O}$ and $^{40}mathrm{Ca}$. We also use a B-spline spectral representation of the positive-energy projector to evaluate partial energy-weighted sum rules and compare with nonrelativistic sum rule results." @default.
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- W2088049168 date "1989-07-01" @default.
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- W2088049168 title "Finite nucleus Dirac mean field theory and random phase approximation using finiteBsplines" @default.
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- W2088049168 doi "https://doi.org/10.1103/physrevc.40.399" @default.
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