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- W1978589845 abstract "We apply the symplectic shell model to the breathing mode in closed-shell nuclei. The group theory of $mathrm{Sp}(2,R)$ is used to embed the description of the collective monopole excitation in the framework of the oscillator shell model. This provides a microscopic description of the breathing mode by way of a diagonalization of the effective interaction in an appropriate collective subspace. We apply this model to closed-shell nuclei ranging from $^{56}mathrm{Ni}$ to $^{208}mathrm{Pb}$ using various Skyrme-type forces. The results confirm that a force with a nuclear matter incompressibility of about 200 MeV reproduces the experimental breathing mode energies. An evaluation of the calculated wave functions using the formalism of the $mathrm{Sp}(2,R)$ boson picture indicates the importance of two-boson correlations that particularly affect the compression modulus. As an element in our analysis we compare $mathrm{Sp}(2,R)$ model and random phase approximation results. This reveals the strengths and limitations of the symplectic model.[NUCLEAR STRUCTURE $mathrm{Sp}(2,R)$ symplectic shell model applied to breathing mode in medium and heavy closed shell nuclei.]" @default.
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- W1978589845 date "1984-02-01" @default.
- W1978589845 modified "2023-10-18" @default.
- W1978589845 title "Application of theSp(2,R)model to the nuclear breathing mode" @default.
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- W1978589845 doi "https://doi.org/10.1103/physrevc.29.628" @default.
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